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guadalupemarlene2001
01.12.2020 •
Mathematics
1/3 of a number is 4 less than 1/2 of the number, the number is
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Ответ:
12
Step-by-step explanation:
1/2x=3/4x−3⇒2x=3x−12⇒x=12
Ответ:
The question is incomplete:
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
Reyna needs to sell more than 42 T-shirts.
Step-by-step explanation:
Given that you have to find the amount of T-shirts that should be sold to earn a profit of more than $2,000, you have to find the amount required to earn $2,000 by replacing p with 2,000 and solving for s:
s^2+9s-142=2000
s^2+9s-2142=0
(s+
)^2-2142-(
)^2=0
(s+
)^2=2142+(
)^2
(s+
)^2=2142+![\frac{81}{4}](/tpl/images/0730/7611/86104.png)
(s+
)^2=![\frac{8649}{4}](/tpl/images/0730/7611/f9c61.png)
s+
=![\frac{93}{2}](/tpl/images/0730/7611/88e43.png)
s=![\frac{93}{2}- \frac{9}{2}](/tpl/images/0730/7611/6fe88.png)
s=![\frac{186-18}{4}](/tpl/images/0730/7611/12ea5.png)
s=![\frac{168}{4}](/tpl/images/0730/7611/6aa06.png)
s=42
According to this, Reyna needs to sell more than 42 T-shirts to earn a profit of more than $2,000.