9514 1404 393
Answer:
A f(n)=8(0.75)^n
Step-by-step explanation:
After the first bounce, the height is 8·0.75 = 6 ft. Each subsequent bounce multiplies the previous height by 0.75, so the height after n bounces is ...
f(n) = 8·0.75^n . . . . matches choice A
Let’s solve this step by step. :)
First, let’s assign variables for the missing number: x and y.
so the 3 numbers would be x, y and 28
then we have 3 scenarios:
28 + x = 61
28 + y = 76
x + y = 81
Using the first equation, we can get x = 61-28 = 33
Using the 2nd equation, we can get y = 76-28 = 48
then, we can verify if our answer is right by substituting these values in the 3rd equation:
x + y = 81
33 + 48 = 81
81 = 81 ✔️
So the 3 numbers are 28, 33 and 48.
The library is in the 4th quadrant (+x,-y)
So the English class must have a positive x and a negative y
(4,-5) is the only point that fits
Answer:
Step-by-step explanation:
Mark any two point on the line
(-1 , 0) & (-3 , -1)
Slope = 
![= \frac{-1-0}{-3-[-1]}\\\\= \frac{-1}{-3+1}\\\\= \frac{-1}{-2}\\\\= \frac{1}{2}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-1-0%7D%7B-3-%5B-1%5D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-1%7D%7B-3%2B1%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-1%7D%7B-2%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7B2%7D)
m = 1/2 ; (-1 , 0)
Equation: 
![y - 0 = \frac{1}{2}(x - [-1])\\\\y = \frac{1}{2}(x + 1)\\\\y = \frac{1}{2}x + \frac{1}{2}](https://tex.z-dn.net/?f=y%20-%200%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28x%20-%20%5B-1%5D%29%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28x%20%2B%201%29%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20%2B%20%5Cfrac%7B1%7D%7B2%7D)
