Write a quadratic equation in standard form with the given root(s). 58. 1 25 43 7' 8 57. 3.4, 0.6

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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number 56,57,58
Solve each equation by factoring.
49. 12x2-4x 5
50. 5x2 15x
52. 75x2-60x=-12
51. 16r + 36 -48x
53. 4x2-144 0
54.-7x +6 20x
55 MOVIE THEATER A company plans to build a large multiplex theater. The
financial analyst told her manager that the profit function for their theater was
P(x) = -x² + 48x -512, where x is the number of movie screens, and P(x) is the profit
earned in thousands of dollars. Determine the range of production of movie screens
that will guarantee that the company will not lose money.
Write a quadratic equation in standard form with the given root(s).
56. -
43
58. 2 5
11 9
57. 3.4, 0.6
Solve each equation by factoring.
59. 10x2 + 25x = 15
60. 27x2 +5 = 48x
61. x2 +0.25x = 1.25
62. 48x2 - 15 = -22x
63. 3x2 + 2x = 3.75
64. -32x2 + 56x = 12
65. DESIGN A square is cut out of the figure at the right. Write an
expression for the area of the figure that remains, and then
factor the expression.
66. CCSS PERSEVERANCE After analyzing the market, a company
that sells Web sites determined the profitability of their
product was modeled by P(x) = –16x² + 368x – 2035,
where x is the price of each Web site and P(x) is the
company's profit. Determine the price range of the Web
sites that will be profitable for the company.
6.
67. PAINTINGS Enola wants to add a border to her
painting, distributed evenly, that has the same area
as the painting itself. What are the dimensions of
the painting with the border included?
Transcribed Image Text:Solve each equation by factoring. 49. 12x2-4x 5 50. 5x2 15x 52. 75x2-60x=-12 51. 16r + 36 -48x 53. 4x2-144 0 54.-7x +6 20x 55 MOVIE THEATER A company plans to build a large multiplex theater. The financial analyst told her manager that the profit function for their theater was P(x) = -x² + 48x -512, where x is the number of movie screens, and P(x) is the profit earned in thousands of dollars. Determine the range of production of movie screens that will guarantee that the company will not lose money. Write a quadratic equation in standard form with the given root(s). 56. - 43 58. 2 5 11 9 57. 3.4, 0.6 Solve each equation by factoring. 59. 10x2 + 25x = 15 60. 27x2 +5 = 48x 61. x2 +0.25x = 1.25 62. 48x2 - 15 = -22x 63. 3x2 + 2x = 3.75 64. -32x2 + 56x = 12 65. DESIGN A square is cut out of the figure at the right. Write an expression for the area of the figure that remains, and then factor the expression. 66. CCSS PERSEVERANCE After analyzing the market, a company that sells Web sites determined the profitability of their product was modeled by P(x) = –16x² + 368x – 2035, where x is the price of each Web site and P(x) is the company's profit. Determine the price range of the Web sites that will be profitable for the company. 6. 67. PAINTINGS Enola wants to add a border to her painting, distributed evenly, that has the same area as the painting itself. What are the dimensions of the painting with the border included?
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