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galina1969 [7]
3 years ago
6

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?
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
8 0

Answer:

20

Step-by-step explanation:

We first plug in 605 for p(x)

605 =  {x}^{2}  - 14x + 485

We then equal equation to zero

{x}^{2}  - 14x + 485 - 605 = 0

Factor

(x + 6)(x - 20)

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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