Practice and Problem Solving Extra Practice is on page R3. Example 1 Graph each inequality. 13. y 2x² + 5x + 6 16. -x? + 12x – 36 > y 14. x² – 2r – 8 < y 15. y s-r - 7x + 8 17. y > 2r? – 2r – 3 18. y 2 -4r? + 12r – 7 Examples 2-3 Solve each inequality by graphing. 20. x – 2x – 24 so 23. 0 >-x² + 7x + 12 26. -3x2 – 3x + 9 > 0 29. 0s-4x? + 8x +5 19. x² – 9x + 9 < 0 21. x² + 8x + 16 20 22. x² + 6x + 3 > 0 24. -x² + 2x – 15 < 0 25. 4x² + 12x + 10 < 0 28. 3x² + 12x + 36 < 0 27. 0 > -2r² + 4x + 4 30. –2r? + 3x + 3<0 Example 4 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? 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?
Practice and Problem Solving Extra Practice is on page R3. Example 1 Graph each inequality. 13. y 2x² + 5x + 6 16. -x? + 12x – 36 > y 14. x² – 2r – 8 < y 15. y s-r - 7x + 8 17. y > 2r? – 2r – 3 18. y 2 -4r? + 12r – 7 Examples 2-3 Solve each inequality by graphing. 20. x – 2x – 24 so 23. 0 >-x² + 7x + 12 26. -3x2 – 3x + 9 > 0 29. 0s-4x? + 8x +5 19. x² – 9x + 9 < 0 21. x² + 8x + 16 20 22. x² + 6x + 3 > 0 24. -x² + 2x – 15 < 0 25. 4x² + 12x + 10 < 0 28. 3x² + 12x + 36 < 0 27. 0 > -2r² + 4x + 4 30. –2r? + 3x + 3<0 Example 4 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? 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?
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
![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%2F72cc67c1-6b7d-4aa4-bf05-1d5017385940%2Fj6le4ao_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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