Answer:

Step-by-step explanation:
Given.
Two points are given.
and 
An exponential function is in the general form.
-------(1)
We know the points
and 
put the first point value in equation 1


--------(2)
put the second point value in equation 1
----------(3)
Put the a value from equation 2 to equation 3


![b^{4} = 16\\b=\sqrt[4]{16} \\b=2](https://tex.z-dn.net/?f=b%5E%7B4%7D%20%3D%2016%5C%5Cb%3D%5Csqrt%5B4%5D%7B16%7D%20%5C%5Cb%3D2)
Put the b value in equation 2


Put the a and b value in equation 1

So, the exponential function that passes through the points
and
are
.
Answer:
The triangles shown are<u> proportional</u>
Step-by-step explanation:
Two parallel lines are cut by a tranversal so the opposite and corresponding angles are congruent.
B = N
M = M
12 x 2 = 24 , So the sides of the triangle are proportional meaning they are parallel.
Side MN would be 12
Side MP would be 16
The formula d = rt gives the distance traveled in time t at rate r. A bicyclist rides for 1.5 hours and travels 25 miles.
d= D. 37.5 miles per hour
r= 25
t=1.5
25*1.5
=37.5
D.
37.5 miles per hour
Answer:
b. average total cost = total cost/quantity of output
Step-by-step explanation:
The marginal cost is the additional cost of producing one more unit of output and it can be calculated by taking the change in total cost and dividing it by the change in quantity, its formula is:
- <em>Marginal cost = change in total cost/ change in quantity</em>
The average total cost (sometimes referred to simply as average cost) is total cost divided by the quantity of output, its formula is:
- <u><em>Average total cost = total cost / quantity of output</em></u>
The total cost is obtained adding together the fixed costs and the variable costs, its formula is:
- <em>Total cost = fixed cost + variable cost</em>
The average variable cost is obtained when variable cost is divided by quantity of output, its formula is:
- <em>Average variable = variable cost / quantity of output</em>
I hope you find this information useful and interesting! Good luck!
Answer:
x = -1, PR = 38.
Step-by-step explanation:
As Q is the midpoint of PR
PQ = QR
6x + 25 = 16 - 3x
9x = -9
x = -1.
PR
= 6x + 25 + 16 - 3x
= 6(-1) + 25 + 16 - 3(-1)
= -6 + 25 + 16 + 3
= 38.