Answer:
![P(x) = -0.004x^2 - 3.7x - 50](https://tex.z-dn.net/?f=P%28x%29%20%3D%20-0.004x%5E2%20-%203.7x%20-%2050)
Step-by-step explanation:
We have to find profit
.
This can be easily found using a formula for Profit given the Revenue and Cost.
![Profit = Revenue - Cost](https://tex.z-dn.net/?f=Profit%20%3D%20Revenue%20-%20Cost)
![P(x) = R(x) - C(x)](https://tex.z-dn.net/?f=P%28x%29%20%3D%20R%28x%29%20-%20C%28x%29)
Given that:
![R(x) = 6x](https://tex.z-dn.net/?f=R%28x%29%20%3D%206x)
![C(x) = 0.004x^2 + 2.3x + 50](https://tex.z-dn.net/?f=C%28x%29%20%3D%200.004x%5E2%20%2B%202.3x%20%2B%2050)
to find P(x) we can simply subtract R(x) by C(x).
![P(x) = R(x) - C(x)](https://tex.z-dn.net/?f=P%28x%29%20%3D%20R%28x%29%20-%20C%28x%29)
![P(x) = (6x) - (0.004x^2 + 2.3x + 50)](https://tex.z-dn.net/?f=P%28x%29%20%3D%20%286x%29%20-%20%280.004x%5E2%20%2B%202.3x%20%2B%2050%29)
![P(x) = 6x - 0.004x^2 - 2.3x - 50](https://tex.z-dn.net/?f=P%28x%29%20%3D%206x%20-%200.004x%5E2%20-%202.3x%20-%2050)
and finally, after simplify this equation subtracting 6x by 2.3x.
this is the equation for the profit ![P(x)](https://tex.z-dn.net/?f=P%28x%29)
![P(x) = -0.004x^2 - 3.7x - 50](https://tex.z-dn.net/?f=P%28x%29%20%3D%20-0.004x%5E2%20-%203.7x%20-%2050)
Three between the x values and four between the y values
Answer:
The measure of an arc is equal to the angle opposite it
Therefore the answer is C. 100°
Hope this helps!