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plve each inequality by graphing. a. x² – 9x +9 < 0 2. x² + 6x + 3 > 0 5. 4x? + 12x + 10<0 B. 3x2 + 12x + 36 < 0 20. x2 – 2x – 24<0 21. x2 + 8x + 16 2 0 23. 0> -x? + 7x+ 12 24. -x? + 2x – 15 < 0 26. -3x2 – 3x + 9 >0 29. 0s-4x + 8r + 5 27. 0 > -2r² + 4x + 4 30. -2r2 + 3x + 3<0 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? 2 MANUIEACTURING A

plve each inequality by graphing. a. x² – 9x +9 < 0 2. x² + 6x + 3 > 0 5. 4x? + 12x + 10<0 B. 3x2 + 12x + 36 < 0 20. x2 – 2x – 24<0 21. x2 + 8x + 16 2 0 23. 0> -x? + 7x+ 12 24. -x? + 2x – 15 < 0 26. -3x2 – 3x + 9 >0 29. 0s-4x + 8r + 5 27. 0 > -2r² + 4x + 4 30. -2r2 + 3x + 3<0 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? 2 MANUIEACTURING A

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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