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The owner of a resale shop is analyzing the revenue for the year. Profit is modeled by the function p(x) = x² – 14x + 485, where p(x) represents profit and x represents the number of items sold. How many items must he sell in order for his profit to be $605?

Respuesta :

Answer:

20

Step-by-step explanation:

We first plug in 605 for p(x)

[tex]605 = {x}^{2} - 14x + 485[/tex]

We then equal equation to zero

[tex]{x}^{2} - 14x + 485 - 605 = 0[/tex]

Factor

[tex](x + 6)(x - 20)[/tex]

Set each factor equal to zero and solve

x = -6

x = 20

We then select the positive answer because we can't sell negative items.

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