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andreyandreev [35.5K]
3 years ago
13

Reyna runs a textile company that manufactures T-shirts. The profit, p, made by the company is modeled by the function p=s^2+9s-

142, where s is the number of T-shirts sold. How many T-shirts should be sold to earn a profit of more than $2,000?
s < 42
s > 42
s > 51
s < 51
Mathematics
2 answers:
Elza [17]3 years ago
8 0
S^2 + 9s - 142 > 2000
s^2 + 9s - 142 - 2000 > 0
s^2 + 9s - 2142 > 0
(s-42)(s+51) > 0

s - 42 > 0
s > 42

s + 51 > 0
s > -51.......will not work

answer is : s > 42
slava [35]3 years ago
6 0

Answer: s>42

Step-by-step explanation:

Given: The profit, p, made by the company is modeled by the function

s^2+9s-142.

According to the question, we have

s^2 + 9s - 142 > 2000\\\Rightarrow s^2 + 9s - 142 - 2000 > 0\\\Rightarrow s^2 + 9s - 2142 > 0\\\Rightarrow (s-42)(s+51) > 0\\\Rightarrow s>42\ \ ,\ s>-51

But s>-51 is not possible.

Hence, s>42 is the answer.

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