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goldenfox [79]
3 years ago
12

A car dealership manager has determined that the profit, in thousands of dollars, of the dealership can be determined by the exp

ression LaTeX: x^2-4xL a T e X : x 2 − 4 x, where LaTeX: xL a T e X : x is the number of cars sold. A different manager states that the profit of the dealership can be determined by the function LaTeX: 5xL a T e X : 5 x. What number of cars sold makes the equation LaTeX: x^2-4x=5xL a T e X : x 2 − 4 x = 5 x true? Select all that apply.
Mathematics
1 answer:
ss7ja [257]3 years ago
5 0

Answer:

The number of cars that brings the same profit is 9 and 0

Step-by-step explanation:

Given

x^2 - 4x = 5x

Required

Determine the possible values of x

x^2 - 4x = 5x

Subtract 5x from both sides

x^2 - 4x - 5x = 5x - 5x

x^2 - 9x = 0

Factorize

x(x - 9)= 0

Split the equation

x = 0         or        x - 9 = 0

x = 0         or        x = 9

<em>Hence, the number of cars that brings the same profit is 9 and 0</em>

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