Answer:
<em>B: Jupiter</em>
Step-by-step explanation:
hope this helps
Answer:
75 miles
Step-by-step explanation:
36x100/48
I hope this was helpful!! :)
Answer:
Caitlin can buy no more than 4 bracelets.
Step-by-step explanation:
Let b represent the number of bracelets
4.75b <= 22
4.75b/4.75 <= 22/ 4.75
b<= 4.63
Answer:
44
Step-by-step explanation:
Given:
![f(x) = 4x^2 - 3](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%204x%5E2%20-%203%20)
Required:
Average range of change from 3 to 9
SOLUTION:
Step 1:
Find f(3) and f(9):
To find f(3), replace x with 3 in the given function
![f(3) = 4(3)^2 - 3](https://tex.z-dn.net/?f=%20f%283%29%20%3D%204%283%29%5E2%20-%203%20)
![f(3) = 4(9) - 3](https://tex.z-dn.net/?f=%20f%283%29%20%3D%204%289%29%20-%203%20)
![f(3) = 36 - 3](https://tex.z-dn.net/?f=%20f%283%29%20%3D%2036%20-%203%20)
![f(3) = 33](https://tex.z-dn.net/?f=%20f%283%29%20%3D%2033%20)
To find f(9), replace x with 9 in the given function
![f(9) = 4(9)^2 - 3](https://tex.z-dn.net/?f=%20f%289%29%20%3D%204%289%29%5E2%20-%203%20)
![f(9) = 4(81) - 3](https://tex.z-dn.net/?f=%20f%289%29%20%3D%204%2881%29%20-%203%20)
![f(9) = 324 - 3](https://tex.z-dn.net/?f=%20f%289%29%20%3D%20324%20-%203%20)
![f(9) = 321](https://tex.z-dn.net/?f=%20f%289%29%20%3D%20321%20)
Average rate of change = ![\frac{f(b) - f(a)}{b - a}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bf%28b%29%20-%20f%28a%29%7D%7Bb%20-%20a%7D%20)
Where,
![a = 3, f(a) = 33](https://tex.z-dn.net/?f=%20a%20%3D%203%2C%20f%28a%29%20%3D%2033%20)
![b = 9, f(b) = 321](https://tex.z-dn.net/?f=%20b%20%3D%209%2C%20f%28b%29%20%3D%20321%20)
Plug in the values into the formula for average rate of change.
![= \frac{321 - 33}{9 - 3}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B321%20-%2033%7D%7B9%20-%203%7D%20)
![= \frac{288}{6}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B288%7D%7B6%7D%20)
![= 44](https://tex.z-dn.net/?f=%20%3D%2044%20)
Average rate of change = 44