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4. If a car moving at a constant rate travels (2x3-x2-4x + 3) km in (x2 - 2x + 1) hours, what is the rate of the car in km per hour? 5. Suppose the area of a rectangle is (6x2-7x + 14) square units. If ils width is (2x -5) units, what expression represents its length? How about Its perimeter?

4. If a car moving at a constant rate travels (2x3-x2-4x + 3) km in (x2 - 2x + 1) hours, what is the rate of the car in km per hour? 5. Suppose the area of a rectangle is (6x2-7x + 14) square units. If ils width is (2x -5) units, what expression represents its length? How about Its perimeter?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.4: Special Products
Problem 65PFA
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D. Read and analyze the following problems. Then, solve the polynomial function/equation and state the answer to each problem. 4. If a car moving at a constant rate travels (2x3-x2 - 4x + 3) km in (x2-2x+ 1) hours, what is the rate of the car in km per hour? 5. Suppose the area of a rectangle is (6x2-7x + 14) square units. If ils width is (2x -5) units, what expression represents its length? How about Its perimeter? 6. The world's highest bridge, the Millau Viaduct in France, is 1125 feet above the River Tarm. An object is dropped from the top of this bridge. Neglecting air resistance, the height of the object at time t seconds is given by the polynomial function P(t) = -1612 + 1125. Find the height of the object when t=1 second and when t = 8 seconds. 7. The total revenues (in pesos) for MCD, Inc., Manufacturing Company to produce x blank audio cassette tapes per week is given by the polynomial function R(x) = 2x. Find the total revenue from selling 200, 000 tapes per week. 8. The function f(x) = 0.07x2-0.8x + 3.6 can be used to approximate the amazing growth of the number of Web logs (Blogs) dippearing on the intemet from January 2004 to October 2006, where January, 2004 = 1 for x, February 2004 = 2 for x, and so on, and y is the number of logs (in millions). Approximate the number of Web logs on the internet in October 2006. Round answers to the nearest tenth million. 9. The function f(x) = 0.39x2 + 2.49x + 38.7 can be used to approximate the number of people under age 65 without health insurance during the period 1999-2005, where x is the nurmber of years after 1999 and f(x) is the number in millions of people. Round answers to the nearest tenth of a million. %3D a. Approximate the number of people under 65 without health insurance in 2003. b. Use the function to predict the number of people under 65 without health insurance in 2008.
Transcribed Image Text:D. Read and analyze the following problems. Then, solve the polynomial function/equation and state the answer to each problem. 4. If a car moving at a constant rate travels (2x3-x2 - 4x + 3) km in (x2-2x+ 1) hours, what is the rate of the car in km per hour? 5. Suppose the area of a rectangle is (6x2-7x + 14) square units. If ils width is (2x -5) units, what expression represents its length? How about Its perimeter? 6. The world's highest bridge, the Millau Viaduct in France, is 1125 feet above the River Tarm. An object is dropped from the top of this bridge. Neglecting air resistance, the height of the object at time t seconds is given by the polynomial function P(t) = -1612 + 1125. Find the height of the object when t=1 second and when t = 8 seconds. 7. The total revenues (in pesos) for MCD, Inc., Manufacturing Company to produce x blank audio cassette tapes per week is given by the polynomial function R(x) = 2x. Find the total revenue from selling 200, 000 tapes per week. 8. The function f(x) = 0.07x2-0.8x + 3.6 can be used to approximate the amazing growth of the number of Web logs (Blogs) dippearing on the intemet from January 2004 to October 2006, where January, 2004 = 1 for x, February 2004 = 2 for x, and so on, and y is the number of logs (in millions). Approximate the number of Web logs on the internet in October 2006. Round answers to the nearest tenth million. 9. The function f(x) = 0.39x2 + 2.49x + 38.7 can be used to approximate the number of people under age 65 without health insurance during the period 1999-2005, where x is the nurmber of years after 1999 and f(x) is the number in millions of people. Round answers to the nearest tenth of a million. %3D a. Approximate the number of people under 65 without health insurance in 2003. b. Use the function to predict the number of people under 65 without health insurance in 2008.
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