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:
12%
Step-by-step explanation:
x = 8
Explanation:
AE = 3x - 4
EC = x + 12
SInce diagonals AC and DB intersect at E
it means the lines which meet at the intersection E are equal. A and C meet at E which gives AE and EC
AE = EC
3x - 4 = x + 12
collect like terms:
3x - x = 12 + 4
2x = 16
divide both sides by 2:
2x/2 = 16/2
x = 8
1. The figure is a prism: V = lwh = (12.1)(5.3)(4.2) = 269.3 cu. cm.
2. The figure is also a prism but the base is triangular: V = 1/2*b*h*l = 1/2*(13)*(sqrt(3)/2*13)*24 = 1756.3 cu. yd.
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Answer:
y=-5x-12
y=-0.5x-5
y=-0.5x+0.5
y=-4.5x+3
y=-2x+7
y=2.5x+10
Step-by-step explanation: