Answer:
-3/2
Step-by-step explanation:
Given two points, we can find the slope by
m = (y2-y1)/(x2-x1)
= (-7 - -1)/ (5-1)
= (-7+1)/(5-1)
= -6/4
= -3/2
Answer:
$68
Step-by-step explanation:
We have been given the demand equation for Turbos as
, where q is the number of buggies the company can sell in a month if the price is $p per buggy.
Let us find revenue function by multiplying price of p units by demand function as:
Revenue function: 

Since revenue function is a downward opening parabola, so its maximum point will be vertex.
Let us find x-coordinate of vertex using formula
.



The maximum revenue would be the y-coordinate of vertex.
Let us substitute
in revenue formula.




Therefore, the company should sell each buggy for $68 to get the maximum revenue of $18,496.
Answer:

Step-by-step explanation:
Apply the Midsegment Theorem:
![\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B2%7D%5B96%20-%204x%5D%C2%B0%20%3D%20%5B5x%20%2B%206%5D%C2%B0%20%E2%86%92%20%5B48%20-%202x%5D%C2%B0%20%3D%20%5B5x%20%2B%206%5D%C2%B0%20%E2%86%92%20-42%20%3D%20-7x%3B%206%20%3D%20x%20%5C%5C%20%5C%5C%20%5B48%20-%202%286%29%5D%C2%B0%20%3D%20%5B48%20-%2012%5D%C2%B0%20%3D%2036%C2%B0%20%5C%5C%20%5C%5C%20AND%2FOR%20%5C%5C%20%5C%5C%20%5B5%286%29%20%2B%206%5D%C2%B0%20%3D%20%5B30%20%2B%206%5D%C2%B0%20%3D%2036%C2%B0)
I am joyous to assist you at any time.
First, we start with the equation that the problem told us, which is:
R + 6 = 2 * (x + 6)
Then, we distribute the two:
R + 6 = 2x + 12
Now, we put R on its own side.
R = 2x +6
So, the answer must be C, 2x + 6
Answer:
2.2 hr
Step-by-step explanation:
Let t = time
95t = distance of westbound train
105t = distance of eastbound train
95t + 105t = 440
200t = 440
t = 2.2 hr.