A car dealership manager has determined that the prot, in thousands of dollars, of the dealership can be determined by the expression , where is the number of cars sold. A dierent manager states that the prot of the dealership can be determined by the function . What number of cars sold makes the equation true? Select all that apply

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

x = 0 ; x = 9

Step-by-step explanation:

Given that:

Manager 1 's profit function:

x² - 4x ; x = number of cars sold

Manager 2's profit function:

5x ; x = number of cars sold

Nunbers That makes the equation:

x² - 4x = 5x true

x² - 4x = 5x

Subtract 5x from both sides to make right hand side =. 0

X² - 4x - 5x = 5x - 5x

x² - 9x = 0

Using factorization to equate separate the x values.

x(x - 9) = 0

x = 0 or (x - 9) = 0

Hence,

x = 0 ; or

x - 9 = 0 ; x = 9

x = 0 OR x = 9

Number of cars sold which makes both managers have the same profit from the functions are either 0 or 9

a

step-by-step explanation: