A company models its net income, in thousands of dollars, with the function f(x) = 9x2 - 54x - 144, where x is the number of units of its product sold.
How many units of its product does the company need to sell in order for the net income to equal $0?

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zrh2sfo zrh2sfo · Answer 1 · 2019-06-05T22:29:22+02:00

Answer:

x=9 and x=-2

Step-by-step explanation:

GFC = 9 => 9(x²-6x-16) =0

9(x-8)(x+2) = 0

x-b=0 x+2= 0

x=8 and x = -2

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joaobezerra joaobezerra · Answer 2 · 2022-05-06T13:04:43+02:00

Solving the quadratic equation, it is found that the company needs to sell 8 products for the net income to be equal $0.

It is given by:

f(x) = 9x² - 54x - 144.

It can be simplified as follows:

f(x) = 9(x² - 6x - 16)

Then:

f(x) = 9[(x + 2)(x - 8)]

It has a net income equals to 0 when:

f(x) = 0, hence:

The amount of products sold is positive, hence, the company needs to sell 8 products for the net income to be equal $0.

More can be learned about quadratic equations at https://brainly.com/question/24737967

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