Answer:
and ![x>0,y>0](https://tex.z-dn.net/?f=x%3E0%2Cy%3E0)
Step-by-step explanation:
The number of people is
and the number of hours they are present in the space is
.
Per person entry cost is $8.
Per hour cost of rent is $40.
They plan to earn a minimum of $600.
Donations by all the people entering the space is ![8x](https://tex.z-dn.net/?f=8x)
Total cost of renting the space is
which will be subtracted from the total amount of donations.
The inequality that represents the situation is
and
.
Answer:
D) The product of two rational numbers is rational.
Answer: x = -0.3, x = -25.8
<u>Step-by-step explanation:</u>
(x + 25)(9x + 10) = 180
x(9x+10) + 25(9x+10) = 180
9x² + 10x + 225x + 250 = 180
9x² + 235x + 250 = 180
9x² + 235x + 70 = 0
a=9 b=235 c=70
Use Quadratic Formula to find the roots: ![x = \frac{-b+/-\sqrt{b^{2}-4ac}}{2a}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%2B%2F-%5Csqrt%7Bb%5E%7B2%7D-4ac%7D%7D%7B2a%7D)
![x = \frac{-235+/-\sqrt{235^{2}-4(9)(70)}}{2(9)}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-235%2B%2F-%5Csqrt%7B235%5E%7B2%7D-4%289%29%2870%29%7D%7D%7B2%289%29%7D)
![= \frac{-235+/-\sqrt{55225-2520}}{18}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-235%2B%2F-%5Csqrt%7B55225-2520%7D%7D%7B18%7D)
![= \frac{-235+/-\sqrt{52705}}{18}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-235%2B%2F-%5Csqrt%7B52705%7D%7D%7B18%7D)
![= \frac{-235+/-229.6}{18}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-235%2B%2F-229.6%7D%7B18%7D)
, ![=\frac{-235-229.6}{18}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-235-229.6%7D%7B18%7D)
, ![\frac{-464.6}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B-464.6%7D%7B18%7D)
= -0.3 , -25.8
230 times .30 is 69 so sub that from 230 you get 161