Elementary Algebra
Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Chapter 4.7, Problem 553E

Shopping. Tula has $20 to spend at the used book sale. Hardcover books cost $2 each and paperback books cost $0.50 each. If x is the number of hardcover books Tula can buy and y is the number of paperback books she can buy, the inequality 2 x + 1 2 y ≤ 20 models the situation.

(a) Graph the inequality.

(b) List three solutions to the inequality 2 x + 1 2 ≤ 20 where both x and y are whole numbers.

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Chapter 4 Solutions

Elementary Algebra

Ch. 4.1 - Plot each point in a rectangular coordinate system...Ch. 4.1 - Plot each point in a rectangular coordinate system...Ch. 4.1 - Plot each point: (a) (4,0) (b) (2,0) (c) (0,0) (d)...Ch. 4.1 - Plot each point: (a) (5,0) (b) (3,0) (c) (0,0) (d)...Ch. 4.1 - Name the ordered pair of each point shown in the...Ch. 4.1 - Name the ordered pair of each point shown in the...Ch. 4.1 - Which of the following ordered pairs are solutions...Ch. 4.1 - Which of the following ordered pairs are solutions...Ch. 4.1 - Which of the following ordered pairs are solutions...Ch. 4.1 - Which of the following ordered pairs are solutions...
Ch. 4.1 - Complete the table to find three solutions to this...Ch. 4.1 - Complete the table to find three solutions to this...Ch. 4.1 - Complete the table to find three solutions to this...Ch. 4.1 - Complete the table to find three solutions to this...Ch. 4.1 - Find three solutions to this equation: y=2x+3 .Ch. 4.1 - Find three solutions to this equation: y=4x+1 .Ch. 4.1 - Find three solutions to the equation 2x+3y=6 .Ch. 4.1 - Find three solutions to the equation 4x+2y=8 .Ch. 4.1 - In the following exercises, plot each point in a...Ch. 4.1 - In the following exercises, plot each point in a...Ch. 4.1 - In the following exercises, plot each point in a...Ch. 4.1 - In the following exercises, plot each point in a...Ch. 4.1 - In the following exercises, plot each point in a...Ch. 4.1 - In the following exercises, plot each point in a...Ch. 4.1 - In the following exercises, plot each point in a...Ch. 4.1 - In the following exercises, plot each point in a...Ch. 4.1 - In the following exercises, name the ordered pair...Ch. 4.1 - In the following exercises, name the ordered pair...Ch. 4.1 - In the following exercises, name the ordered pair...Ch. 4.1 - In the following exercises, name the ordered pair...Ch. 4.1 - In the following exercises, which ordered pairs...Ch. 4.1 - In the following exercises, which ordered pairs...Ch. 4.1 - In the following exercises, which ordered pairs...Ch. 4.1 - In the following exercises, which ordered pairs...Ch. 4.1 - In the following exercises, which ordered pairs...Ch. 4.1 - In the following exercises, which ordered pairs...Ch. 4.1 - In the following exercises, which ordered pairs...Ch. 4.1 - In the following exercises, which ordered pairs...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, complete the table to...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - In the following exercises, find three solutions...Ch. 4.1 - Prob. 48ECh. 4.1 - Weight of a baby. Mackenzie recorded her baby’s...Ch. 4.1 - Weight of a baby. Mackenzie recorded her baby’s...Ch. 4.1 - Explain in words how you plot the point (4,2) in a...Ch. 4.1 - How do you determine if an ordered pair is a...Ch. 4.1 - Is the point (3,0) on the x-axis or y-axis? How do...Ch. 4.1 - Is the point (0,8) on the x-axis or y-axis? How do...Ch. 4.2 - Use the graph of y=3x1 to decide whether each...Ch. 4.2 - Use the graph of y=3x1 to decide whether each...Ch. 4.2 - Graph the equation by plotting points: y=2x3 .Ch. 4.2 - Graph the equation by plotting points: y=2x+4 .Ch. 4.2 - Graph the equation by plotting points: y=4x .Ch. 4.2 - Graph the equation by plotting points: y=x .Ch. 4.2 - Graph the equation y=13x1 .Ch. 4.2 - Graph the equation y=14x+2 .Ch. 4.2 - Graph the equation 2x+y=2 .Ch. 4.2 - Graph the equation 4x+y=3 .Ch. 4.2 - Graph the equation 4x+2y=8 .Ch. 4.2 - Graph the equation 2x4y=8 .Ch. 4.2 - Graph the equation x=5 .Ch. 4.2 - Graph the equation x=2 .Ch. 4.2 - Graph the equation y=4 .Ch. 4.2 - Graph the equation y=3 .Ch. 4.2 - Graph y=4x and y=4 in the same rectangular...Ch. 4.2 - Graph y=3 and y=3x in the same rectangular...Ch. 4.2 - In the following exercises, for each ordered pair,...Ch. 4.2 - In the following exercises, for each ordered pair,...Ch. 4.2 - In the following exercises, for each ordered pair,...Ch. 4.2 - In the following exercises, for each ordered pair,...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - In the following exercises, graph by plotting...Ch. 4.2 - 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In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each pair of...Ch. 4.2 - In the following exercises, graph each pair of...Ch. 4.2 - In the following exercises, graph each pair of...Ch. 4.2 - In the following exercises, graph each pair of...Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - In the following exercises, graph each equation....Ch. 4.2 - Motor home cost. The Robinsons rented a motor home...Ch. 4.2 - Weekly earnings. At the art gallery where heworks,...Ch. 4.2 - Explain how you would choose three x-values tomake...Ch. 4.2 - What is the difference between the equations of a...Ch. 4.3 - Find the x- and y- intercepts on the graph.Ch. 4.3 - Find the x- and y- intercepts on the graph.Ch. 4.3 - Find the intercepts of 3x+y=12 .Ch. 4.3 - Find the intercepts of x+4y=8 .Ch. 4.3 - Find the intercepts of 3x4y=12 .Ch. 4.3 - Find the intercepts of 2x4y=8 .Ch. 4.3 - Graph x2y=4 using the intercepts.Ch. 4.3 - Graph x+3y=6 using the intercepts.Ch. 4.3 - Graph 5x2y=10 using the intercepts.Ch. 4.3 - Graph 3x4y=12 using the intercepts.Ch. 4.3 - Graph y=4x using the intercepts.Ch. 4.3 - Graph y=x the intercepts.Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the x- and y-...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, find the intercepts...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - In the following exercises, graph using the...Ch. 4.3 - Road trip. Damien is driving from Chicago to...Ch. 4.3 - Road trip. Ozzie filled up the gas tank of his...Ch. 4.3 - How do you find the x- intercept of the graph of...Ch. 4.3 - Do you prefer to use the method of plotting points...Ch. 4.3 - Do you prefer to use the method of plotting points...Ch. 4.3 - Do you prefer to use the method of plotting points...Ch. 4.4 - What is the slope of the line on the geoboard...Ch. 4.4 - What is the slope of the line on the geoboard...Ch. 4.4 - What is the slope of the line on the geoboard?Ch. 4.4 - What is the slope of the line on the geoboard?Ch. 4.4 - Model the slope m=13 . Draw a picture to show your...Ch. 4.4 - Model the slope m=32 . Draw a picture to show your...Ch. 4.4 - Model the slope m=23 . Draw a picture to show your...Ch. 4.4 - Model the slope m=13 . Draw a picture to show your...Ch. 4.4 - Find the slope of the line shown.Ch. 4.4 - Find the slope of the line shown.Ch. 4.4 - Find the slope of the line shown.Ch. 4.4 - Find the slope of the line shown.Ch. 4.4 - Find the slope of the line shown.Ch. 4.4 - Find the slope of the line shown.Ch. 4.4 - Find the slope of the line: x=4 .Ch. 4.4 - Find the slope of the line: y=7 .Ch. 4.4 - Use the slope formula to find the slope of the...Ch. 4.4 - Use the slope formula to find the slope of the...Ch. 4.4 - Use the slope formula to find the slope of the...Ch. 4.4 - Use the slope formula to find the slope of the...Ch. 4.4 - Graph the line passing through the point (2,2)...Ch. 4.4 - Graph the line passing through the point (2,3)...Ch. 4.4 - Graph the line with the y-intercept 4 and slope...Ch. 4.4 - Graph the line with the x-intercept 3 and slope...Ch. 4.4 - Graph the line with the point (2,1) and slope m=3...Ch. 4.4 - Graph the line with the point (4,2) and slope m=2...Ch. 4.4 - Use Example 4.38, substituting the rise =14 and...Ch. 4.4 - Use Example 4.38, substituting rise =15 and run...Ch. 4.4 - Find the slope of a pipe that slopes down 13 inch...Ch. 4.4 - Find the slope of a pipe that slopes down 34 inch...Ch. 4.4 - In the following exercises, find the slope modeled...Ch. 4.4 - In the following exercises, find the slope modeled...Ch. 4.4 - In the following exercises, find the slope modeled...Ch. 4.4 - In the following exercises, find the slope modeled...Ch. 4.4 - In the following exercises, find the slope modeled...Ch. 4.4 - In the following exercises, find the slope modeled...Ch. 4.4 - In the following exercises, find the slope modeled...Ch. 4.4 - In the following exercises, find the slope modeled...Ch. 4.4 - In the following exercises, model each slope. Draw...Ch. 4.4 - In the following exercises, model each slope. Draw...Ch. 4.4 - In the following exercises, model each slope. Draw...Ch. 4.4 - In the following exercises, model each slope. Draw...Ch. 4.4 - In the following exercises, model each slope. Draw...Ch. 4.4 - In the following exercises, model each slope. Draw...Ch. 4.4 - In the following exercises, model each slope. Draw...Ch. 4.4 - In the following exercises, model each slope. Draw...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, find the slope of each...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, use the slope formula...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - In the following exercises, graph each line with...Ch. 4.4 - Slope of a roof. An easy way to determine the...Ch. 4.4 - The slope of the roof shown here is measured with...Ch. 4.4 - Road grade. A local road has a grade of 6%. The...Ch. 4.4 - Highway grade. A local road rises 2 feet for every...Ch. 4.4 - Wheelchair ramp. The rules for wheelchair ramps...Ch. 4.4 - Wheelchair ramp. A 1-inch rise for a 16-inch run...Ch. 4.4 - What does the sign of the slope tell you about a...Ch. 4.4 - How does the graph of a line with slope m=12...Ch. 4.4 - Why is the slope of a vertical line “undefined”?Ch. 4.5 - Use the graph to find the slope and y-intercept of...Ch. 4.5 - Use the graph to find the slope and y-intercept of...Ch. 4.5 - Identify the slope and y-intercept of the line...Ch. 4.5 - Identify the slope and y-intercept of the line...Ch. 4.5 - Identify the slope and y-intercept of the line...Ch. 4.5 - Identify the slope and y-intercept of the line...Ch. 4.5 - Graph the line of the equation y=4x+1 using its...Ch. 4.5 - Graph the line of the equation y=2x3 using its...Ch. 4.5 - Graph the line of the equation y=x3 using its...Ch. 4.5 - Graph the line of the equation y=x1 using its...Ch. 4.5 - Graph the line of the equation y=52x+1 using its...Ch. 4.5 - Graph the line of the equation y=34x2 using its...Ch. 4.5 - Graph the line of the equation 2xy=6 using its...Ch. 4.5 - Graph the line of the equation 3x2y=8 using its...Ch. 4.5 - Graph the line of the equation y=0.5x+25 using its...Ch. 4.5 - Graph the line of the equation y=0.1x30 using its...Ch. 4.5 - Determine the most convenient method to graph each...Ch. 4.5 - Determine the most convenient method to graph each...Ch. 4.5 - The equation h=2s+50 is used to estimate a woman’s...Ch. 4.5 - The equation T=14n+40 is used to estimate the...Ch. 4.5 - Sam drives a delivery van. The equation C=0.5m+60...Ch. 4.5 - Loreen has a calligraphy business. The equation...Ch. 4.5 - Use slopes and y-intercepts to determine if the...Ch. 4.5 - Use slopes and y-intercepts to determine if the...Ch. 4.5 - Use slopes and y-intercepts to determine if the...Ch. 4.5 - Use slopes and y-intercepts to determine if the...Ch. 4.5 - Use slopes and y-intercepts to determine if the...Ch. 4.5 - Use slopes and y-intercepts to determine if the...Ch. 4.5 - Use slopes and y-intercepts to determine if the...Ch. 4.5 - Use slopes and y-intercepts to determine if the...Ch. 4.5 - Use slopes to determine if the lines y=3x+2 and...Ch. 4.5 - Use slopes to determine if the lines y=2x5 and...Ch. 4.5 - Use slopes to determine if the lines 5x+4y=1 and...Ch. 4.5 - Use slopes to determine if the lines 2x9y=3 and...Ch. 4.5 - In the following exercises, use the graph to find...Ch. 4.5 - In the following exercises, use the graph to find...Ch. 4.5 - In the following exercises, use the graph to find...Ch. 4.5 - In the following exercises, use the graph to find...Ch. 4.5 - In the following exercises, use the graph to find...Ch. 4.5 - In the following exercises, use the graph to find...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, identify the slope and...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, graph the line of each...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - In the following exercises, determine the most...Ch. 4.5 - The equation P=31+1.75w models the relation...Ch. 4.5 - The equation P=28+2.54w models the relation...Ch. 4.5 - Bruce drives his car for his job. The equation...Ch. 4.5 - Janelle is planning to rent a car while on...Ch. 4.5 - Cherie works in retail and her weekly salary...Ch. 4.5 - Patel’s weekly salary includes a base pay plus...Ch. 4.5 - Costa is planning a lunch banquet. The equation...Ch. 4.5 - Margie is planning a dinner banquet. The equation...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - In the following exercises, use slopes and...Ch. 4.5 - The equation C=59F17.8 can be used to convert...Ch. 4.5 - The equation n=4T160 is used to estimate the...Ch. 4.5 - Explain in your own words how to decide which...Ch. 4.5 - Why are all horizontal lines parallel?Ch. 4.6 - Find an equation of a line with slope 25 and...Ch. 4.6 - Find an equation of a line with slope 1 and...Ch. 4.6 - Find the equation of the line shown in the graph.Ch. 4.6 - Find the equation of the line shown in the graph.Ch. 4.6 - Find an equation of a line with slope m=56 and...Ch. 4.6 - Find an equation of a line with slope m=23 and...Ch. 4.6 - Find an equation of a line with slope m=25 and...Ch. 4.6 - Find an equation of a line with slope m=34 , and...Ch. 4.6 - Find an equation of a horizontal line containing...Ch. 4.6 - Find an equation of a horizontal line containing...Ch. 4.6 - Find an equation of a line containing the points...Ch. 4.6 - Find an equation of a line containing the points...Ch. 4.6 - Find an equation of a line containing the points...Ch. 4.6 - Find an equation of a line containing the points...Ch. 4.6 - Find an equation of a line containing the points...Ch. 4.6 - Find an equation of a line containing the points...Ch. 4.6 - Find an equation of a line parallel to the line...Ch. 4.6 - Find an equation of a line parallel to the line...Ch. 4.6 - Find an equation of a line perpendicular to the...Ch. 4.6 - Find an equation of a line perpendicular to the...Ch. 4.6 - Find an equation of a line that is perpendicular...Ch. 4.6 - Find an equation of a line that is perpendicular...Ch. 4.6 - Find an equation of a line that is perpendicular...Ch. 4.6 - Find an equation of a line that is perpendicular...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find the equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find an equation of a...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - In the following exercises, find the equation of...Ch. 4.6 - Cholesterol. The age, x, and LDL cholesterol...Ch. 4.6 - Fuel consumption. The city mpg, x, and highway...Ch. 4.6 - Why are all horizontal lines parallel?Ch. 4.6 - Explain in your own words why the slopes of two...Ch. 4.7 - Determine whether each ordered pair is a solution...Ch. 4.7 - Determine whether each ordered pair is a solution...Ch. 4.7 - Write the inequality shown by the graph with the...Ch. 4.7 - Write the inequality shown by the graph with the...Ch. 4.7 - Write the inequality shown by the shaded region in...Ch. 4.7 - Write the inequality shown by the shaded region in...Ch. 4.7 - Graph the linear inequality y52x4 .Ch. 4.7 - Graph the linear inequality y23x5 .Ch. 4.7 - Graph the linear inequality 2x3y6 .Ch. 4.7 - Graph the linear inequality 2xy3 .Ch. 4.7 - Graph the linear inequality y3x .Ch. 4.7 - Graph the linear inequality y2x .Ch. 4.7 - Graph the linear inequality y5 .Ch. 4.7 - Graph the linear inequality y1 .Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, determine whether each...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, write the inequality...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - In the following exercises, graph each linear...Ch. 4.7 - Money. Gerry wants to have a maximum of $100 cash...Ch. 4.7 - Shopping. Tula has $20 to spend at the used book...Ch. 4.7 - Lester thinks that the solution of any inequality...Ch. 4.7 - Explain why in some graphs of linear inequalities...Ch. 4 - In the following exercises, plot each point in a...Ch. 4 - In the following exercises, plot each point in a...Ch. 4 - In the following exercises, plot each point in a...Ch. 4 - In the following exercises, plot each point in a...Ch. 4 - In the following exercises, name the ordered pair...Ch. 4 - In the following exercises, name the ordered pair...Ch. 4 - In the following exercises, which ordered pairs...Ch. 4 - In the following exercises, which ordered pairs...Ch. 4 - In the following exercises, complete the table to...Ch. 4 - In the following exercises, complete the table to...Ch. 4 - In the following exercises, complete the table to...Ch. 4 - In the following exercises, complete the table to...Ch. 4 - In the following exercises, find three solutions...Ch. 4 - In the following exercises, find three solutions...Ch. 4 - In the following exercises, find three solutions...Ch. 4 - In the following exercises, find three solutions...Ch. 4 - In the following exercises, for each ordered pair,...Ch. 4 - In the following exercises, for each ordered pair,...Ch. 4 - In the following exercises, graph by plotting...Ch. 4 - In the following exercises, graph by plotting...Ch. 4 - In the following exercises, graph by plotting...Ch. 4 - In the following exercises, graph by plotting...Ch. 4 - In the following exercises, graph by plotting...Ch. 4 - In the following exercises, graph by plotting...Ch. 4 - In the following exercises, graph each equation....Ch. 4 - In the following exercises, graph each equation....Ch. 4 - In the following exercises, graph each pair of...Ch. 4 - In the following exercises, graph each pair of...Ch. 4 - In the following exercises, find the x- and...Ch. 4 - In the following exercises, find the x- and...Ch. 4 - In the following exercises, find the intercepts of...Ch. 4 - In the following exercises, find the intercepts of...Ch. 4 - In the following exercises, find the intercepts of...Ch. 4 - In the following exercises, find the intercepts of...Ch. 4 - In the following exercises, find the intercepts of...Ch. 4 - In the following exercises, find the intercepts of...Ch. 4 - In the following exercises, graph using the...Ch. 4 - In the following exercises, graph using the...Ch. 4 - In the following exercises, graph using the...Ch. 4 - In the following exercises, graph using the...Ch. 4 - In the following exercises, graph using the...Ch. 4 - In the following exercises, graph using the...Ch. 4 - In the following exercises, find the slope modeled...Ch. 4 - In the following exercises, find the slope modeled...Ch. 4 - In the following exercises, find the slope modeled...Ch. 4 - In the following exercises, find the slope modeled...Ch. 4 - In the following exercises, model each slope. Draw...Ch. 4 - In the following exercises, model each slope. Draw...Ch. 4 - In the following exercises, model each slope. Draw...Ch. 4 - In the following exercises, model each slope. Draw...Ch. 4 - In the following exercises, find the slope of each...Ch. 4 - In the following exercises, find the slope of each...Ch. 4 - In the following exercises, find the slope of each...Ch. 4 - In the following exercises, find the slope of each...Ch. 4 - In the following exercises, find the slope of each...Ch. 4 - In the following exercises, find the slope of each...Ch. 4 - In the following exercises, find the slope of each...Ch. 4 - In the following exercises, find the slope of each...Ch. 4 - In the following exercises, use the slope formula...Ch. 4 - In the following exercises, use the slope formula...Ch. 4 - In the following exercises, use the slope formula...Ch. 4 - In the following exercises, use the slope formula...Ch. 4 - In the following exercises, graph each line with...Ch. 4 - In the following exercises, graph each line with...Ch. 4 - In the following exercises, graph each line with...Ch. 4 - In the following exercises, graph each line with...Ch. 4 - In the following exercises, solve these slope...Ch. 4 - In the following exercises, solve these slope...Ch. 4 - In the following exercises, use the graph to find...Ch. 4 - In the following exercises, use the graph to find...Ch. 4 - In the following exercises, identify the slope and...Ch. 4 - In the following exercises, identify the slope and...Ch. 4 - In the following exercises, identify the slope and...Ch. 4 - In the following exercises, identify the slope and...Ch. 4 - In the following exercises, graph the line of each...Ch. 4 - In the following exercises, graph the line of each...Ch. 4 - In the following exercises, graph the line of each...Ch. 4 - In the following exercises, graph the line of each...Ch. 4 - In the following exercises, determine the most...Ch. 4 - In the following exercises, determine the most...Ch. 4 - In the following exercises, determine the most...Ch. 4 - In the following exercises, determine the most...Ch. 4 - In the following exercises, determine the most...Ch. 4 - In the following exercises, determine the most...Ch. 4 - Katherine is a private chef. The equation...Ch. 4 - Marjorie teaches piano. The equation P=35h250...Ch. 4 - In the following exercises, use slopes and...Ch. 4 - In the following exercises, use slopes and...Ch. 4 - In the following exercises, use slopes and...Ch. 4 - In the following exercises, use slopes and...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of...Ch. 4 - In the following exercises, find the equation of...Ch. 4 - In the following exercises, find the equation of...Ch. 4 - In the following exercises, find the equation of...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - UIn the following exercises, find the equation of...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find the equation of a...Ch. 4 - In the following exercises, find an equation of a...Ch. 4 - In the following exercises, find an equation of a...Ch. 4 - In the following exercises, find an equation of a...Ch. 4 - In the following exercises, find an equation of a...Ch. 4 - In the following exercises, find an equation of a...Ch. 4 - In the following exercises, find an equation of a...Ch. 4 - In the following exercises, find an equation of a...Ch. 4 - In the following exercises, find an equation of a...Ch. 4 - In the following exercises, determine whether each...Ch. 4 - In the following exercises, determine whether each...Ch. 4 - In the following exercises, write the inequality...Ch. 4 - In the following exercises, write the inequality...Ch. 4 - In the following exercises, write the inequality...Ch. 4 - In the following exercises, write the inequality...Ch. 4 - In the following exercises, graph each linear...Ch. 4 - In the following exercises, graph each linear...Ch. 4 - In the following exercises, graph each linear...Ch. 4 - In the following exercises, graph each linear...Ch. 4 - In the following exercises, graph each linear...Ch. 4 - In the following exercises, graph each linear...Ch. 4 - Plot each point in a rectangular coordinate...Ch. 4 - Which of the given ordered pairs are solutions to...Ch. 4 - Find three solutions to the linear equation y=2x4...Ch. 4 - Find the x- and y-intercepts of the equation...Ch. 4 - Find the slope of each line shown. 686.Ch. 4 - Find the slope of each line shown. 687.Ch. 4 - Find the slope of each line shown. 688.Ch. 4 - Find the slope of each line shown. 689. Find the...Ch. 4 - Find the slope of each line shown. 690. Graph the...Ch. 4 - Graph the line for each of the following...Ch. 4 - Graph the line for each of the following...Ch. 4 - Graph the line for each of the following...Ch. 4 - Graph the line for each of the following...Ch. 4 - Graph the line for each of the following...Ch. 4 - Graph the line for each of the following...Ch. 4 - Find the equation of each line. Write the equation...Ch. 4 - Find the equation of each line. Write the equation...Ch. 4 - Find the equation of each line. Write the equation...Ch. 4 - Find the equation of each line. Write the equation...Ch. 4 - Find the equation of each line. Write the equation...Ch. 4 - Find the equation of each line. Write the equation...Ch. 4 - Graph each linear inequality. 703. y32x+5Ch. 4 - Graph each linear inequality. 704. xy4Ch. 4 - Graph each linear inequality. 705. y5xCh. 4 - Graph each linear inequality. 706. y3

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Let U be a unitary matrix. Prove that U is normal. Ux=x forall xn. if is an eigenvalue of U, then ||=1.

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