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)
Answer:
a) alternate interior angles theorem
b) OXP ≅ XOL
c) XO ≅ OX
d) reflexive property (i'm not sure about this one)
e) ΔXOP ≅ ΔOXL
f) cpctc
make sure to double check the fourth one
Answer:
3
Step-by-step explanation:
First right out all the data in numerical order from left to right.
2, 2, 2, 3, 4, 5, 7
The median is the middle number in the set. If there is an even amount of data points, find the average of the two middle numbers. If there is an odd number of data points, like in this data set, just take the middle number as you median.
There are 7 data points in this set so the fourth number in the set written in numerical order would be your median.
When writing this set out in numerical order, repeated numbers must be repeated, we find that the fourth, or middle, number is 3. Therefore, 3 is the median of this data set.
Answer:
<em>The distance of the line is 10.82</em>
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x1,y1) and B(x2,y2), the distance between them is:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
The graph clearly shows the points (-5,4) (4,-2), thus the distance is:
![d=\sqrt{(4-(-5))^2+(-2-4)^2}=\sqrt{9^2+(-6)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%284-%28-5%29%29%5E2%2B%28-2-4%29%5E2%7D%3D%5Csqrt%7B9%5E2%2B%28-6%29%5E2%7D)
![d=\sqrt{81+36}=\sqrt{117}=10.82](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B81%2B36%7D%3D%5Csqrt%7B117%7D%3D10.82)
The distance of the line is 10.82