PREALGEBRA
15th Edition
ISBN: 9781938168994
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 11.2, Problem 95E
In the following exercises, graph each pair of equations in the same rectangular
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Name
Assume there is the following simplified grade book:
Homework Labs | Final Exam | Project
Avery
95
98
90
100
Blake
90
96
Carlos
83
79
Dax
55
30
228
92
95
79
90
65
60
Assume that the weights used to compute the final grades are homework 0.3, labs 0.2,
the final 0.35, and the project 0.15.
| Write an explicit formula to compute Avery's final grade using a single
inner product.
Write an explicit formula to compute everyone's final grade simultane-
ously using a single matrix-vector product.
1. Explicitly compute by hand (with work shown) the following Frobenius inner
products
00
4.56 3.12
(a) ((º º º). (156
(b)
10.9
-1
0
2)),
Fro
5')) Fro
3.
Let
4 0
0
00 0
0
1.2
0
00 0
0
0
-10.1 0 0
0
D =
0
0
0
00 0
0
0
0
05 0
0
0
0
0 0 2.8
Either explicitly compute D-¹ or explain why it doesn't exist.
Chapter 11 Solutions
PREALGEBRA
Ch. 11.1 - use the map in Figure 11.2. a Find the grid...Ch. 11.1 - Use the map in Figure 11.2. a. Find the grid...Ch. 11.1 - Plot each point on the same rectangular coordinate...Ch. 11.1 - Plot each point on the same rectangular coordinate...Ch. 11.1 - Plot each point a rectangular coordinate system...Ch. 11.1 - Plot each point a rectangular coordinate system...Ch. 11.1 - Plot each point: (4,-3) (4,3) (4,3) (-4,3)Ch. 11.1 - Plot each point: a. (-1,4) b. (1,4) c. (1,-4) d....Ch. 11.1 - Plot each point on a coordinate grid: (a) (4,0)...Ch. 11.1 - Plot each point on a coordinate grid: (a) (—5. 0)...
Ch. 11.1 - Name the ordered pair of each point shown:Ch. 11.1 - Name the ordered pair of each point shown:Ch. 11.1 - Name the ordered pair of each point shown:Ch. 11.1 - Name the ordered pair of each point shown:Ch. 11.1 - Determine which ordered pairs are solutions to the...Ch. 11.1 - Determine which ordered pairs are solutions to the...Ch. 11.1 - Determine which ordered pairs are solutions of the...Ch. 11.1 - Determine which ordered pairs are solutions of the...Ch. 11.1 - Complete the table to find three solutions to the...Ch. 11.1 - Complete the table to find three solutions to the...Ch. 11.1 - Complete the table to find three solutions to the...Ch. 11.1 - Complete the table to find three solutions to the...Ch. 11.1 - Find a solution to the equation: 4x + 3y = 12.Ch. 11.1 - Find a solution to the equation: 2x + 4y = 8.Ch. 11.1 - Find three solutions to the equation: 2x + 3y = 6.Ch. 11.1 - Find three solutions to the equation: 4x + 2y = 8.Ch. 11.1 - Find three solutions to the equation: 4x + y = 8.Ch. 11.1 - Find three solutions to the equation: x + 5y = 10.Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, plot each point on a...Ch. 11.1 - In the following exercises, name the ordered pair...Ch. 11.1 - In the following exercises, name the ordered pair...Ch. 11.1 - In the following exercises, name the ordered pair...Ch. 11.1 - In the following exercises, name the ordered pair...Ch. 11.1 - In the following exercises, name the ordered pair...Ch. 11.1 - In the following exercises, name the ordered pair...Ch. 11.1 - In the following exercises, name the ordered pair...Ch. 11.1 - In the following exercises, determine which...Ch. 11.1 - In the following exercises, determine which...Ch. 11.1 - In the following exercises, determine which...Ch. 11.1 - In the following exercises, determine which...Ch. 11.1 - In the following exercises, determine which...Ch. 11.1 - In the following exercises, determine which...Ch. 11.1 - In the following exercises, determine which...Ch. 11.1 - In the following exercises, determine which...Ch. 11.1 - In the following exercises, complete the table to...Ch. 11.1 - In the following exercises, complete the table to...Ch. 11.1 - In the following exercises, complete the table to...Ch. 11.1 - In the following exercises, complete the table to...Ch. 11.1 - In the following exercises, complete the table to...Ch. 11.1 - In the following exercises, complete the table to...Ch. 11.1 - Weight of a baby Mackenzie recorded her baby’s...Ch. 11.1 - Weight of a child Latresha recorded her son’s...Ch. 11.1 - Have you ever used a map with a rectangular...Ch. 11.1 - The graph of y=3x— 1 is shown. For each ordered...Ch. 11.2 - The graph of y=3x— 1 is shown. For each ordered...Ch. 11.2 - Graph the equation by plotting points: y = —4x.Ch. 11.2 - Graph the equation by plotting points: y = x.Ch. 11.2 - Graph the equation: y=13x1Ch. 11.2 - Graph the equation: y=14x+2Ch. 11.2 - Graph the equation: x + y = —2.Ch. 11.2 - Graph the equation: x—y=6.Ch. 11.2 - Graph each equation: 2x + y = 2.Ch. 11.2 - Graph each equation: 4x + y = —3.Ch. 11.2 - Graph the equation: x =5Ch. 11.2 - Graph the equation: x = —2.Ch. 11.2 - Graph the equation: ‘ y= -4.Ch. 11.2 - Graph the equation: y = 3.Ch. 11.2 - Graph the equations in the same rectangular...Ch. 11.2 - For each ordered pair, decide (a) is the ordered...Ch. 11.2 - For each ordered pair, decide (a) is the ordered...Ch. 11.2 - For each ordered pair, decide (a) is the ordered...Ch. 11.2 - For each ordered pair, decide (a) is the ordered...Ch. 11.2 - For each ordered pair, decide (a) is the ordered...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph by plotting...Ch. 11.2 - In the following exercises, graph the vertical and...Ch. 11.2 - In the following exercises, graph the vertical and...Ch. 11.2 - In the following exercises, graph the vertical and...Ch. 11.2 - In the following exercises, graph the vertical and...Ch. 11.2 - In the following exercises, graph the vertical and...Ch. 11.2 - In the following exercises, graph the vertical and...Ch. 11.2 - In the following exercises, graph the vertical and...Ch. 11.2 - In the following exercises, graph the vertical and...Ch. 11.2 - In the following exercises, graph each pair of...Ch. 11.2 - In the following exercises, graph each pair of...Ch. 11.2 - In the following exercises, graph each pair of...Ch. 11.2 - In the following exercises, graph each pair of...Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - In the following exercises, graph each equation....Ch. 11.2 - Motor home cost The Robinsons rented a motor home...Ch. 11.2 - Weekly earning At the art gallery where he works,...Ch. 11.2 - Explain how you would choose three x-values to...Ch. 11.2 - What is the difference between the equations of a...Ch. 11.3 - Find the x- and y-intercepts of the graph: x — y =...Ch. 11.3 - Find the x- and y-intercepts of the graph: 2x + 3y...Ch. 11.3 - Find the intercepts: 3x + y = 12Ch. 11.3 - Find the intercepts: x+4y= 8Ch. 11.3 - Find the intercepts of the line: 3x—4y = 12.Ch. 11.3 - Find the intercepts of the line: 2x—4y = 8.Ch. 11.3 - Graph the line using the intercepts: x—2y = 4.Ch. 11.3 - Graph the line using the intercepts: —x + 3y = 6.Ch. 11.3 - Graph the line using the intercepts: 5x—2y = 10.Ch. 11.3 - Graph the line using the intercepts: 3x—4y = 12.Ch. 11.3 - Graph using the intercepts: y = 3x.Ch. 11.3 - Graph using the intercepts: y = - x.Ch. 11.3 - Identify the most convenient method to graph each...Ch. 11.3 - Identify the most convenient method to graph each...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the x- and y-...Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts. ....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts.Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts.Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, find the intercepts....Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, graph using the...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - In the following exercises, identify the most...Ch. 11.3 - Road trip Damien is driving from Chicago to...Ch. 11.3 - Road trip Ozzie filled up the gas tank of his...Ch. 11.3 - How do you find the x-intercept of the graph of...Ch. 11.3 - How do you find the v-intercept of the graph of...Ch. 11.3 - Do you prefer to graph the equation 4x + y = -4 by...Ch. 11.3 - Do you prefer to graph the equation y=23x2 by...Ch. 11.4 - What is the slope of the line on the geoboard...Ch. 11.4 - What is the slope of the line on the geoboard...Ch. 11.4 - What is the slope of the line on the geoboard?Ch. 11.4 - What is the slope of the line on the geoboard?Ch. 11.4 - Use a geoboard to model a line with the given...Ch. 11.4 - Use a geoboard to model a line with the given...Ch. 11.4 - Use a geoboard to model a line with the given...Ch. 11.4 - Use a geoboard to model a line with the given...Ch. 11.4 - Find the slope of the line:Ch. 11.4 - Find the slope of the line:Ch. 11.4 - Find the slope of the line.Ch. 11.4 - Find the slope of the line:Ch. 11.4 - Find the slope of the line:Ch. 11.4 - Find the slope of the line:Ch. 11.4 - Find the slope of the line: x = —4.Ch. 11.4 - Find the slpoe of the line: y=7Ch. 11.4 - Find the slope of the line through the given...Ch. 11.4 - Find the slope of the line through the given...Ch. 11.4 - Find the slope of the line through the pair of...Ch. 11.4 - Find the slope of the line through the pair of...Ch. 11.4 - Graph the line passing through the point with the...Ch. 11.4 - Graph the line passing through the point with the...Ch. 11.4 - Graph the line with the given intercept and slope:...Ch. 11.4 - Graph the line with the given intercept and slope:...Ch. 11.4 - Graph the line with the given intercept and slope:...Ch. 11.4 - Graph the line with the given intercept and slope:...Ch. 11.4 - Find the slope given rise and run: A roof with a...Ch. 11.4 - Find the slope given rise and run: A roof with a...Ch. 11.4 - Find the slope of the pipe: The pipe slopes down -...Ch. 11.4 - Find the slope of the pipe: The pipe slopes down...Ch. 11.4 - In the following exercises, find the slope modeled...Ch. 11.4 - In the following exercises, find the slope modeled...Ch. 11.4 - In the following exercises, find the slope modeled...Ch. 11.4 - In the following exercises, find the slope modeled...Ch. 11.4 - In the following exercises, model each slope. Draw...Ch. 11.4 - In the following exercises, model each slope. Draw...Ch. 11.4 - In the following exercises, model each slope. Draw...Ch. 11.4 - In the following exercises, model each slope. Draw...Ch. 11.4 - In the following exercises, model each slope. Draw...Ch. 11.4 - In the following exercises, model each slope. Draw...Ch. 11.4 - In the following exercises, model each slope. Draw...Ch. 11.4 - In the following exercises, model each slope. Draw...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, find the slope of each...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, use the slope formula...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, graph the line given a...Ch. 11.4 - In the following exercises, sole these slope...Ch. 11.4 - In the following exercises, solve these slope...Ch. 11.4 - In the following exercises, sole these slope...Ch. 11.4 - In the following exercises, solve these slope...Ch. 11.4 - Wheelchair ramp The rules for wheelchair ramps...Ch. 11.4 - Wheelchair ramp A I-inch rise for a 16-inch run...Ch. 11.4 - What does the sign of the slope tell you about...Ch. 11.4 - How does the graph of a line with slope m=12...Ch. 11.4 - Why is the slope of a vertical line undefined?Ch. 11.4 - Explain how you can graph a line given a point and...Ch. 11 - In the following exercises, plot each point in a...Ch. 11 - In the following exercises, plot each point in a...Ch. 11 - In the following exercises plot each point in a...Ch. 11 - In the following exercises plot each point in a...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, name the ordered pair...Ch. 11 - In the following exercises, name the ordered pair...Ch. 11 - In the following exercises, name the ordered pair...Ch. 11 - In the following exercises, find the ordered pairs...Ch. 11 - In the following exercises, find the ordered pairs...Ch. 11 - In the following exercises, complete the table to...Ch. 11 - In the following exercises, complete the table to...Ch. 11 - In the following exercises, complete the table to...Ch. 11 - In the following exercises, complete the table to...Ch. 11 - In the following exercises, find three solutions...Ch. 11 - In the following exercises, find three solutions...Ch. 11 - In the following exercises, find three solutions...Ch. 11 - In the following exercises, find three solutions...Ch. 11 - In the following exercises, for each ordered pair,...Ch. 11 - In the following exercises, for each ordered pair,...Ch. 11 - In the following exercises, graph by plotting...Ch. 11 - In the following exercises, graph by plotting...Ch. 11 - In the following exercises, graph by plotting...Ch. 11 - In the following exercises, graph the vertical or...Ch. 11 - In the following exercises, graph the vertical or...Ch. 11 - In the following exercises, find the x- and...Ch. 11 - In the following exercises, find the x- and...Ch. 11 - In the following exercises, find the intercepts....Ch. 11 - In the following exercises, find the intercepts....Ch. 11 - In the following exercises, find the intercepts....Ch. 11 - In the following exercises, find the intercepts....Ch. 11 - In the following exercises, graph using the...Ch. 11 - In the following exercises, graph using the...Ch. 11 - In the following exercises, identify the most...Ch. 11 - In the following exercises, identify the most...Ch. 11 - In the following exercises, identify the most...Ch. 11 - In the following exercises, identify the most...Ch. 11 - In the following exercises, identify the most...Ch. 11 - In the following exercises, identify the most...Ch. 11 - In the following exercises, find the slope modeled...Ch. 11 - In the following exercises, find the slope modeled...Ch. 11 - In the following exercises, find the slope modeled...Ch. 11 - In the following exercises, find the slope modeled...Ch. 11 - In the following exercises, model each slope. Draw...Ch. 11 - In the following exercises, model each slope. Draw...Ch. 11 - In the following exercises, model each slope. Draw...Ch. 11 - In the following exercises, model each slope. Draw...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the intercepts....Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, use the slope formula...Ch. 11 - In the following exercises, use the slope formula...Ch. 11 - In the following exercises, use the slope formula...Ch. 11 - In the following exercises, use the slope formula...Ch. 11 - In the following exercises, graph the line given a...Ch. 11 - In the following exercises, graph the line given a...Ch. 11 - In the following exercise, solve the slope...Ch. 11 - Plot and label these points: (a) (2, 5) (b) (—1....Ch. 11 - Name the ordered pair for each point shown.Ch. 11 - Find the x-intercept and y-intercept on the line...Ch. 11 - Find the x-intercept and y-intercept of the...Ch. 11 - Is (1, 3) a solution to the equation x+ 4y= 12?...Ch. 11 - Complete the table to find four solutions to the...Ch. 11 - Complete the table to find three solutions to the...Ch. 11 - In the following exercises, find three solutions...Ch. 11 - In the following exercises, find three solutions...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...Ch. 11 - In the following exercises, find the slope of each...
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- 4. [9 points] Assume that B, C, E are all 3 x 3 matrices such that BC == -64 -1 0 3 4 4 4 -2 2 CB=-1-2 4 BE -2 1 3 EC = 1 3 2 -7, 1 6 -6 2-5 -7 -2 Explicitly compute the following by hand. (I.e., write out the entries of the 3 × 3 matrix.) (a) [3 points] B(E+C) (b) [3 points] (E+B)C (c) [3 points] ETBTarrow_forward6. Consider the matrices G = 0 (3) -3\ -3 2 and H = -1 2 0 5 0 5 5 noting that H(:, 3) = 2H(:,1) + H(:, 2). Is G invertible? Explain your answer. Is H invertible? Explain your answer. Use co-factor expansion to find the determinant of H. (Hint: expand the 2nd or 3rd row)arrow_forwardFor the matrix A = = ( 6 }) . explicitly compute by hand (with work shown) the following. I2A, where I2 is the 2 × 2 identity matrix. A-1 solving the following linear systems by using A-¹: c+y= 1 y = 1 (d) (e) (f) A² find the diagonal entries of Aarrow_forward
- If 3x−y=12, what is the value of 8x / 2y A) 212B) 44C) 82D) The value cannot be determined from the information given.arrow_forwardC=59(F−32) The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true? A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 59 degree Celsius. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit. A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius. A) I onlyB) II onlyC) III onlyD) I and II onlyarrow_forward(1) Let F be a field, show that the vector space F,NEZ* be a finite dimension. (2) Let P2(x) be the vector space of polynomial of degree equal or less than two and M={a+bx+cx²/a,b,cЄ R,a+b=c),show that whether Mis hyperspace or not. (3) Let A and B be a subset of a vector space such that ACB, show that whether: (a) if A is convex then B is convex or not. (b) if B is convex then A is convex or not. (4) Let R be a field of real numbers and X=R, X is a vector space over R show that by definition the norms/II.II, and II.112 on X are equivalent where Ilxll₁ = max(lx,l, i=1,2,...,n) and llxll₂=(x²). oper (5) Let Ⓡ be a field of real numbers, Ⓡis a normed space under usual operations and norm, let E=(2,5,8), find int(E), b(E) and D(E). (6) Write the definition of bounded linear function between two normed spaces and write with prove the relation between continuous and bounded linear function between two normed spaces.arrow_forward
- ind → 6 Q₁/(a) Let R be a field of real numbers and X-P(x)=(a+bx+cx²+dx/ a,b,c,dER},X is a vector space over R, show that is finite dimension. (b) Let be a bijective linear function from a finite dimension vector ✓ into a space Yand Sbe a basis for X, show that whether f(S) basis for or not. (c) Let be a vector space over a field F and A,B)affine subsets of X,show that whether aAn BB, aAU BB be affine subsets of X or not, a,ẞ EF. (12 Jal (answer only two) (6) Let M be a non-empty subset of a vector space X and tEX, show that M is a hyperspace of X iff t+M is a hyperplane of X and tЄt+M. (b) State Jahn-Banach theorem and write with prove an application of Hahn-arrow_forward(b) Let A and B be two subset of a linear space X such that ACB, show that whether if A is affine set then B affine or need not and if B affine set then A affine set or need not. Qz/antonly be a-Show that every hyperspace of a vecor space X is hyperplane but the convers need not to be true. b- Let M be a finite dimension subspace of a Banach space X show that M is closed set. c-Show that every two norms on finite dimension vector space are equivant (1) Q/answer only two a-Write the definition of bounded set in: a normed space and write with prove an equivalent statement to a definition. b- Let f be a function from a normed space X into a normed space Y, show that f continuous iff f is bounded. c-Show that every finite dimension normed space is a Banach. Q/a- Let A and B two open sets in a normed space X, show that by definition AnB and AUB are open sets. (1 nood truearrow_forwardlog (6x+5)-log 3 = log 2 - log xarrow_forward
- 1 The ratio of Argan to Potassium from a sample found sample found in Canada is .195 Find The estimated age of the sample A In (1+8.33 (+)) t = (1-26 × 109) en (1 In aarrow_forward7. Find the doubling time of an investment earning 2.5% interest compounded a) semiannually b) continuouslyarrow_forward6. Find the time it will take $1000 to grow to $5000 at an interest rate of 3.5% if the interest is compounded a) quarterly b) continuouslyarrow_forward
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