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Section 10.5

Chapter 10. Section 10.5. Exercise #19. 25 + 2x. 25 ft. 15 + 2x. 15 ft. x. x. A = 650 ft 2.

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Section 10.5

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  1. Chapter 10 Section 10.5 Exercise #19

  2. 25 + 2x 25 ft 15 + 2x 15 ft x x A = 650 ft2 Construction. A rectangular garden is to be surrounded by a walkway of constant width. The garden’s dimensions are 15 ft by 25 ft. The total area, garden plus walkway, is to be 650 ft2. What must be the width of the walkway?

  3. 25 + 2x 25 ft 15 + 2x x 15 ft x A = 650 ft2 (25 + 2x) (15 + 2x) = 650 375 + 50x + 30x + 4x2 = 650 4x2 + 80x – 275 = 0

  4. 25 + 2x 25 ft 15 + 2x x 15 ft x A = 650 ft2 a = 4 b = 80 c = –275

  5. 25 + 2x 25 ft 15 + 2x x 15 ft x A = 650 ft2

  6. 25 + 2x 25 ft 15 + 2x x 15 ft x A = 650 ft2

  7. Chapter 10 Section 10.5 Exercise #43

  8. Business and finance. Suppose that the profit P, in dollars, of producing and selling xappliances is given by P = –3x2+ 240x – 1800. How many appliances must be produced and sold to achieve a profit of $2325?

  9. P = –3x2+ 240x – 1800 2325 = –3x2+ 240x – 1800 0 = –3x2+ 240x – 4125 0 = x2– 80x + 1375 0 = (x – 25)(x – 55) x = 25 or 55 25 or 55 appliances

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