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when p = 60 dollars. 70. A manufacturer of the latest basketball shoes has found that the revenue received from selling the shoes at a cost of p dollars each is given by the polynomial R (p) = -4p² +420p. Find the revenue received when p= 90 dollars. 00 stanquer container whose

when p = 60 dollars. 70. A manufacturer of the latest basketball shoes has found that the revenue received from selling the shoes at a cost of p dollars each is given by the polynomial R (p) = -4p² +420p. Find the revenue received when p= 90 dollars. 00 stanquer container whose

Algebra and Trigonometry (6th Edition)
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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70,73,74,76
**Educational Content on Polynomial Functions** --- **Problem 70:** A manufacturer of the latest basketball shoes has found that the revenue received from selling the shoes at a cost of \( p \) dollars each is given by the polynomial \( R(p) = -4p^2 + 420p \). Find the revenue received when \( p = 90 \) dollars. --- **Problem 71:** The polynomial \( C(x) = 6x^2 + 90x \) gives the cost, in dollars, of producing a rectangular container whose top and bottom are squares with side \( x \) feet and height 6 feet. Find the cost of producing a box with \( x = 4 \) feet. --- **Problem 72:** The polynomial \( C(x) = 6x^2 + 90x \) gives the cost, in dollars, of producing a rectangular container whose top and bottom are squares with side \( x \) feet and height 4 feet. Find the cost of producing a box with \( x = 6 \) feet. --- **Add and Subtract Polynomial Functions** In each example, find: a. \( (f + g)(x) \) b. \( (f + g)(2) \) c. \( (f - g)(x) \) d. \( (f - g)(-3) \). **Problem 73:** \( f(x) = 2x^2 - 4x + 1 \) and \( g(x) = 5x^2 + 8x + 3 \) **Problem 74:** \( f(x) = 4x^2 - 7x + 3 \) and \( g(x) = 4x^2 + 2x - 1 \) **Problem 75:** \( f(x) = 3x^3 - x^2 - 2x + 3 \) and \( g(x) = 3x^3 - 7x \) **Problem 76:** \( f(x) = 5x^3 - x^2 + 3x + 4 \) and \( g(x) = 8x^3 - 1 \) --- **Writing Exercises** (No content provided for description) --- These exercises focus on understanding polynomial functions and involve tasks of evaluating polynomial expressions, as well
Transcribed Image Text:**Educational Content on Polynomial Functions** --- **Problem 70:** A manufacturer of the latest basketball shoes has found that the revenue received from selling the shoes at a cost of \( p \) dollars each is given by the polynomial \( R(p) = -4p^2 + 420p \). Find the revenue received when \( p = 90 \) dollars. --- **Problem 71:** The polynomial \( C(x) = 6x^2 + 90x \) gives the cost, in dollars, of producing a rectangular container whose top and bottom are squares with side \( x \) feet and height 6 feet. Find the cost of producing a box with \( x = 4 \) feet. --- **Problem 72:** The polynomial \( C(x) = 6x^2 + 90x \) gives the cost, in dollars, of producing a rectangular container whose top and bottom are squares with side \( x \) feet and height 4 feet. Find the cost of producing a box with \( x = 6 \) feet. --- **Add and Subtract Polynomial Functions** In each example, find: a. \( (f + g)(x) \) b. \( (f + g)(2) \) c. \( (f - g)(x) \) d. \( (f - g)(-3) \). **Problem 73:** \( f(x) = 2x^2 - 4x + 1 \) and \( g(x) = 5x^2 + 8x + 3 \) **Problem 74:** \( f(x) = 4x^2 - 7x + 3 \) and \( g(x) = 4x^2 + 2x - 1 \) **Problem 75:** \( f(x) = 3x^3 - x^2 - 2x + 3 \) and \( g(x) = 3x^3 - 7x \) **Problem 76:** \( f(x) = 5x^3 - x^2 + 3x + 4 \) and \( g(x) = 8x^3 - 1 \) --- **Writing Exercises** (No content provided for description) --- These exercises focus on understanding polynomial functions and involve tasks of evaluating polynomial expressions, as well
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