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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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter5: Linear Inequalities
Section5.6: Graphing Ineualities In Two Variables
Problem 43PFA
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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
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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