45. You are building a wooden chest in the shape of a rectangular prism with a square base. The side length x (in feet) of the base and the height y (in feet) of the rectangular prism are related by the inequality y 22-8. The chest has the following additional constraints. • The height must be no more than 2 feet greater than half the side length of the base. • The side length of the base must be at least 2.5 feet. Write and graph a system that represents the situation. Find one possible set of dimensions of a chest you can build.
45. You are building a wooden chest in the shape of a rectangular prism with a square base. The side length x (in feet) of the base and the height y (in feet) of the rectangular prism are related by the inequality y 22-8. The chest has the following additional constraints. • The height must be no more than 2 feet greater than half the side length of the base. • The side length of the base must be at least 2.5 feet. Write and graph a system that represents the situation. Find one possible set of dimensions of a chest you can build.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.6: Systems Of Inequalities
Problem 9CYU
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Question
See attached document and answer problem#45
Transcribed Image Text:3.7 Systems of Inequalities (pp. 157-162)
WATCH
Learning Target: Graph systems of inequalities in two variables.
Graph the system.
42. y 23r-1
43. y-5x ≤ 2
y2x² - 6x +2
0.5x
45. You are building a wooden chest in the shape of a rectangular prism with a square
base. The side length x (in feet) of the base and the height y (in feet) of the
rectangular prism are related by the inequality y 22-8. The chest has the
following additional constraints.
• The height must be no more than 2 feet greater than half the side length of the base.
.The side length of the base must be at least 2.5 feet.
Write and graph a system that represents the situation. Find one possible set of
dimensions of a chest you can build.
1 2
44. y-²<9x - 10
y-4x≤-²2²
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