Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.7: Graphing Linear Inequalities
Problem 17WE
Related questions
Question
answer #18.
not graded
(show steps)
![Practice and Problem Solving
Extra Practice is on page R3.
Example 1
Graph each inequality.
13. y 2x? + 5x + 6
14. x² – 2r – 8 < y
15. y s-x? – 7x + 8
16. -x? + 12r – 36 > y
17. y > 2r? – 2x – 3
18. y 2 -4x2 + 12r – 7
Examples 2-3 Solve each inequality by graphing.
19. x2 – 9x + 9 < o
20. x2 – 2x – 24<0
21. x2 + 8x + 16 2 0
22. x2 + 6x + 3 > 0
23. 0 > -x? + 7x + 12
24. -x2 + 2x – 15 < 0
27. 0 >-2r? + 4x + 4
30. -2r? + 3x + 3<0
25. 4x² + 12r + 10 < 0
26. -3x? – 3x + 9 > 0
28. 3x2 + 12x + 36 < 0
29. 0s -4x2 + 8x + 5
31 ARCHITECTURE An arched entry of a room is shaped like a parabola that can be
represented by the equation f(x) = -x² + 6x + 1. How far from the sides of the
arch is its height at least 7 feet?
Example 4
32. MANUFACTURING A box is formed by cutting 4-inch
squares from each corner of a square piece of cardboard
and then folding the sides. If V(x) = 4x² – 64x + 256 represents
the volume of the box, what should the dimensions of the
original piece of cardboard be if the volume of the box
cannot exceed 750 cubic inches?
4
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba04d8ca-1c72-4fa7-841f-7e6bd69c0a9f%2Ffc7af8f2-276d-4ec2-8213-07115d361c9b%2Fn45qmx8_processed.png&w=3840&q=75)
Transcribed Image Text:Practice and Problem Solving
Extra Practice is on page R3.
Example 1
Graph each inequality.
13. y 2x? + 5x + 6
14. x² – 2r – 8 < y
15. y s-x? – 7x + 8
16. -x? + 12r – 36 > y
17. y > 2r? – 2x – 3
18. y 2 -4x2 + 12r – 7
Examples 2-3 Solve each inequality by graphing.
19. x2 – 9x + 9 < o
20. x2 – 2x – 24<0
21. x2 + 8x + 16 2 0
22. x2 + 6x + 3 > 0
23. 0 > -x? + 7x + 12
24. -x2 + 2x – 15 < 0
27. 0 >-2r? + 4x + 4
30. -2r? + 3x + 3<0
25. 4x² + 12r + 10 < 0
26. -3x? – 3x + 9 > 0
28. 3x2 + 12x + 36 < 0
29. 0s -4x2 + 8x + 5
31 ARCHITECTURE An arched entry of a room is shaped like a parabola that can be
represented by the equation f(x) = -x² + 6x + 1. How far from the sides of the
arch is its height at least 7 feet?
Example 4
32. MANUFACTURING A box is formed by cutting 4-inch
squares from each corner of a square piece of cardboard
and then folding the sides. If V(x) = 4x² – 64x + 256 represents
the volume of the box, what should the dimensions of the
original piece of cardboard be if the volume of the box
cannot exceed 750 cubic inches?
4
4
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