5. The equation R(x) = -5x² + 15x + 20 models the revenue (profit-costs) of a company in hundreds of thousands of dollars for every thousand units sold. Identify all key characteristics. How many units can the company sell and still make a profit? For the following questions, determine the term and apply it to rewrite the expressions as perfect square binomial that may or may not have a constant added to it. Check that your new expression is equivalent to the original expression: a. x² + 2x + 7 b. x²-10x+8 A sketch of p(x) is shown below. POO An equation for p(x) could be (A) r(x) = (x²-9)(x-2) (B) r(x) = -x³-2x² + 9x + 18 (C) r(x) = (x² +9)(x-2) (D) r(x) = x³ + 2x²-9x-18 Which of the following terms, when added to the given polynomial, will change the end behavior? Circle all that apply: y=-2x7 +5x6-24 (A)-x8 (B)-3x5 (C) 5x7 (D) 1000 (E)-300

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.4: Graphs Of Quadratic Equations: The Discriminant
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Answer all the questions shown
5. The equation R(x) = -5x² + 15x + 20 models the revenue (profit - costs) of a company in hundreds of
thousands of dollars for every thousand units sold. Identify all key characteristics. How many units can the company
sell and still make a profit?
For the following questions, determine the ¹ (9) ²₁
term and apply it to rewrite the expressions as perfect square
binomial that may or may not have a constant added to it. Check that your new expression is equivalent to the
original expression:
a. x²+2x+7
b. x²10x+8
A sketch of p(x) is shown below.
p(x)
An equation for p(x) could be
(A) r(x) = (x²-9)(x - 2)
(B) r(x) = -x³-2x² + 9x + 18
(C) r(x) = (x² +9)(x - 2)
(D) r(x) = x³ + 2x²-9x-18
Which of the following terms, when added to the given polynomial, will change the end behavior? Circle all that
apply:
y=-2x² + 5x6 - 24
(A) -x8
(B) -3x5
(C) 5x7
(D) 1000
(E)-300
Transcribed Image Text:5. The equation R(x) = -5x² + 15x + 20 models the revenue (profit - costs) of a company in hundreds of thousands of dollars for every thousand units sold. Identify all key characteristics. How many units can the company sell and still make a profit? For the following questions, determine the ¹ (9) ²₁ term and apply it to rewrite the expressions as perfect square binomial that may or may not have a constant added to it. Check that your new expression is equivalent to the original expression: a. x²+2x+7 b. x²10x+8 A sketch of p(x) is shown below. p(x) An equation for p(x) could be (A) r(x) = (x²-9)(x - 2) (B) r(x) = -x³-2x² + 9x + 18 (C) r(x) = (x² +9)(x - 2) (D) r(x) = x³ + 2x²-9x-18 Which of the following terms, when added to the given polynomial, will change the end behavior? Circle all that apply: y=-2x² + 5x6 - 24 (A) -x8 (B) -3x5 (C) 5x7 (D) 1000 (E)-300
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