Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 5.6, Problem 323E
Tickets for an American Baseball League game for 3 adults and 3 children cost less than $75, while tickets for 2 adults and 4 children cost less than $62.
(a) Write a system of inequalities to model this problem.
(b) Graph the system.
(c) Could the tickets cost $20 for adults and $8 for children?
(d) Could the tickets cost $15 for adults and $5 for children?
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Chapter 5 Solutions
Elementary Algebra
Ch. 5.1 - Determine whether the ordered pair is a solution...Ch. 5.1 - Determine whether the ordered pair is a solution...Ch. 5.1 - Solve each system by graphing: {x3y=3x+y=5 .Ch. 5.1 - Solve each system by graphing: {x+y=13x+2y=12 .Ch. 5.1 - Solve each system by graphing: {y=2x+2y=x4 .Ch. 5.1 - Solve each system by graphing: {y=3x+3y=x+7 .Ch. 5.1 - Solve each system by graphing: {x+y=12x+y=10 .Ch. 5.1 - Solve each system by graphing: {2x+y=6x+y=1 .Ch. 5.1 - Solve each system by graphing: {x+y=6xy=2 .Ch. 5.1 - Solve each system by graphing: {x+y=2xy=8 .
Ch. 5.1 - Solve each system by graphing: {y=1x+3y=6 .Ch. 5.1 - Solve each system by graphing: {x=43x2y=24 .Ch. 5.1 - Solve each system by graphing: {y= 1 4x+2x+4y=8 .Ch. 5.1 - Solve each system by graphing: {y=3x16x2y=6 .Ch. 5.1 - Solve each system by graphing: {y=3x66x+2y=12 .Ch. 5.1 - Solve each system by graphing: {y= 1 2x42x4y=16 .Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Without graphing, determine the number of...Ch. 5.1 - Manny is making 12 quarts of orange juice from...Ch. 5.1 - Alisha is making an 18 ounce coffee beverage that...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, determine if the...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - In the following exercises, solve the following...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - Without graphing the following systems of...Ch. 5.1 - In the following exercises, solve. 63. Molly is...Ch. 5.1 - In the following exercises, solve. 64. Jamal is...Ch. 5.1 - In the following exercises, solve. 65. Enrique is...Ch. 5.1 - In the following exercises, solve. 66. Owen is...Ch. 5.1 - Leo is planning his spring flower garden. He wants...Ch. 5.1 - A marketing company surveys 1,200 people. They...Ch. 5.1 - In a system of linear equations, the two equations...Ch. 5.1 - In a system of linear equations, the two equations...Ch. 5.2 - Solve the system by substitution. {2x+y=11x+3y=9Ch. 5.2 - Solve the system by substitution. {x+3y=104x+y=18Ch. 5.2 - Solve the system by substitution. {x+y=6y=3x2Ch. 5.2 - Solve the system by substitution. {2xy=1y=3x6Ch. 5.2 - Solve the system by substitution. {4x+y=23x+2y=1Ch. 5.2 - Solve the system by substitution. {x+y=44xy=2Ch. 5.2 - Solve the system by substitution. {x5y=134x3y=1Ch. 5.2 - Solve the system by substitution. {x6y=62x4y=4Ch. 5.2 - Solve the system by substitution. {y=3x16y= 1 3xCh. 5.2 - Solve the system by substitution. {y=x+10y= 1 4xCh. 5.2 - Solve the system by substitution. {x4y=43x+4y=0Ch. 5.2 - Solve the system by substitution. {4xy=02x3y=5Ch. 5.2 - Solve the system by substitution....Ch. 5.2 - Solve the system by substitution....Ch. 5.2 - Solve the system by substitution. {3x+2y=9y= 3...Ch. 5.2 - Solve the system by substitution. {5x3y=2y= 5 3x4Ch. 5.2 - The sum of two numbers is 10. One number is 4 less...Ch. 5.2 - The sum of two number is 6 . One number is 10 less...Ch. 5.2 - The perimeter of a rectangle is 40. The length is...Ch. 5.2 - The perimeter of a rectangle is 58. The length is...Ch. 5.2 - The measure of one of the small angles of a right...Ch. 5.2 - The measure of one of the small angles of a right...Ch. 5.2 - Geraldine has been offered positions by two...Ch. 5.2 - Kenneth currently sells suits for company A at a...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, solve the systems of...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - In the following exercises, translate to a system...Ch. 5.2 - When Gloria spent 15 minutes on the elliptical...Ch. 5.2 - Stephanie left Riverside, California, driving her...Ch. 5.2 - Solve the system of equations {x+y=10xy=6 (a)by...Ch. 5.2 - Solve the system of equations {3x+y=12x=y8 by...Ch. 5.3 - Solve the system by elimination. {3x+y=52x3y=7Ch. 5.3 - Solve the system by elimination. {4x+y=52x2y=2Ch. 5.3 - Solve the system by elimination. {2x+y=5xy=4Ch. 5.3 - Solve the system by elimination. {x+y=32xy=1Ch. 5.3 - Solve the system by elimination. {4x3y=15x9y=4Ch. 5.3 - Solve the system by elimination. {3x+2y=26x+5y=8Ch. 5.3 - Solve the system by elimination. {3x4y=95x+3y=14Ch. 5.3 - Solve the system by elimination. {7x+8y=43x5y=27Ch. 5.3 - Solve the system by elimination. { 1 3x 1 2y=1 3...Ch. 5.3 - Solve the system by elimination. {x+ 3 5y= 1 5 1...Ch. 5.3 - Solve the system by elimination. {5x3y=15y=5+ 5 3xCh. 5.3 - Solve the system by elimination. {x+2y=6y= 1 2x+3Ch. 5.3 - Solve the system by elimination. {3x+2y=89x6y=13Ch. 5.3 - Solve the system by elimination. {7x3y=214x+6y=8Ch. 5.3 - The sum of two numbers is 42. Their difference is...Ch. 5.3 - The sum of two numbers is 15 . Their difference is...Ch. 5.3 - Malik stops at the grocery store to buy a bag of...Ch. 5.3 - To get her daily intake of fruit for the day,...Ch. 5.3 - For each system of linear equations, decide...Ch. 5.3 - For each system of linear equations, decide...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - In the following exercises, solve the systems of...Ch. 5.3 - 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Determine whether the ordered pair is a solution...Ch. 5.6 - Solve the system by graphing. {y3x+2yx1Ch. 5.6 - Solve the system by graphing. {y 1 2x+3y3x4Ch. 5.6 - Solve the system by graphing. {x+y2y 2 3x1Ch. 5.6 - Solve the system by graphing. {3x2y6y 1 4x+5Ch. 5.6 - Solve the system by graphing. {y3x2y1Ch. 5.6 - Solve the system by graphing. {x4x2y4Ch. 5.6 - Solve the system by graphing. {3x2y12y 3 2x+1Ch. 5.6 - Solve the system by graphing. {x+3y8y 1 3x2Ch. 5.6 - Solve the system by graphing. {y3x+13x+y4Ch. 5.6 - Solve the system by graphing. {y 1 4x+2x+4y4Ch. 5.6 - A trailer can carry a maximum weight of 160 pounds...Ch. 5.6 - Mary needs to purchase supplies of answer sheets...Ch. 5.6 - Tension needs to eat at least an extra 1,000...Ch. 5.6 - Philip’s doctor tells him he should add at least...Ch. 5.6 - In the following exercises, determine whether each...Ch. 5.6 - In the following exercises, determine whether each...Ch. 5.6 - In the following exercises, determine whether each...Ch. 5.6 - 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- What is the vertex, axis of symmerty, all of the solutions, all of the end behaviors, the increasing interval, the decreasing interval, describe all of the transformations that have occurred EXAMPLE Vertical shrink/compression (wider). or Vertical translation down, the domain and range of this graph EXAMPLE Domain: x ≤ -1 Range: y ≥ -4.arrow_forward4. Select all of the solutions for x²+x - 12 = 0? A. -12 B. -4 C. -3 D. 3 E 4 F 12 4 of 10arrow_forward2. Select all of the polynomials with the degree of 7. A. h(x) = (4x + 2)³(x − 7)(3x + 1)4 B h(x) = (x + 7)³(2x + 1)^(6x − 5)² ☐ Ch(x)=(3x² + 9)(x + 4)(8x + 2)ª h(x) = (x + 6)²(9x + 2) (x − 3) h(x)=(-x-7)² (x + 8)²(7x + 4)³ Scroll down to see more 2 of 10arrow_forward
- 1. If all of the zeros for a polynomial are included in the graph, which polynomial could the graph represent? 100 -6 -2 0 2 100 200arrow_forward3. Select the polynomial that matches the description given: Zero at 4 with multiplicity 3 Zero at −1 with multiplicity 2 Zero at -10 with multiplicity 1 Zero at 5 with multiplicity 5 ○ A. P(x) = (x − 4)³(x + 1)²(x + 10)(x — 5)³ B - P(x) = (x + 4)³(x − 1)²(x − 10)(x + 5)³ ○ ° P(x) = (1 − 3)'(x + 2)(x + 1)"'" (x — 5)³ 51 P(r) = (x-4)³(x − 1)(x + 10)(x − 5 3 of 10arrow_forwardMatch the equation, graph, and description of transformation. Horizontal translation 1 unit right; vertical translation 1 unit up; vertical shrink of 1/2; reflection across the x axis Horizontal translation 1 unit left; vertical translation 1 unit down; vertical stretch of 2 Horizontal translation 2 units right; reflection across the x-axis Vertical translation 1 unit up; vertical stretch of 2; reflection across the x-axis Reflection across the x - axis; vertical translation 2 units down Horizontal translation 2 units left Horizontal translation 2 units right Vertical translation 1 unit down; vertical shrink of 1/2; reflection across the x-axis Vertical translation 2 units down Horizontal translation 1 unit left; vertical translation 2 units up; vertical stretch of 2; reflection across the x - axis f(x) = - =-½ ½ (x − 1)²+1 f(x) = x²-2 f(x) = -2(x+1)²+2 f(x)=2(x+1)²-1 f(x)=-(x-2)² f(x)=(x-2)² f(x) = f(x) = -2x²+1 f(x) = -x²-2 f(x) = (x+2)²arrow_forward
- What is the vertex, increasing interval, decreasing interval, domain, range, root/solution/zero, and the end behavior?arrow_forwardThe augmented matrix of a linear system has been reduced by row operations to the form shown. Continue the appropriate row operations and describe the solution set of the original system. 1 -1 0 1 -2 00-4 0-6 0 0 1 - 3 3 0 001 4arrow_forwardSolve the system. X1 - 3x3 = 10 4x1 + 2x2 + 3x3 = 22 ×2 + 4x3 = -2arrow_forward
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