Answer:
![y-1=5x+20](https://tex.z-dn.net/?f=y-1%3D5x%2B20)
Step-by-step explanation:
First we find the slope:
![\frac{1+9}{-4+6} = \frac{10}{2} = 5](https://tex.z-dn.net/?f=%5Cfrac%7B1%2B9%7D%7B-4%2B6%7D%20%3D%20%5Cfrac%7B10%7D%7B2%7D%20%3D%205)
Then we substitute:
![y-1=5(x+4)\\y-1=5x+20\\](https://tex.z-dn.net/?f=y-1%3D5%28x%2B4%29%5C%5Cy-1%3D5x%2B20%5C%5C)
Answer:
9/4
Step-by-step explanation:
if you use cross multiplication you can see that it would cross eachother out and becom one plz vote brainliest
Answer:
![f^{-1}(x) = \frac{cos(2x+6)}{\pi }](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Cfrac%7Bcos%282x%2B6%29%7D%7B%5Cpi%20%7D)
Step-by-step explanation:
![y = \frac{1}{2} cos^{-1} (\pi x)-3](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20cos%5E%7B-1%7D%20%28%5Cpi%20x%29-3)
Firstly, we've to interchange the variables.
![x = \frac{1}{2} cos^{-1}(\pi y)-3](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20cos%5E%7B-1%7D%28%5Cpi%20y%29-3)
Solving for y
![x = \frac{cos^{-1} \pi y}{2} -3](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7Bcos%5E%7B-1%7D%20%5Cpi%20y%7D%7B2%7D%20-3)
Adding 3 to both sides
![x+3 = \frac{cos^{-1}(\pi y)}{2}](https://tex.z-dn.net/?f=x%2B3%20%3D%20%5Cfrac%7Bcos%5E%7B-1%7D%28%5Cpi%20y%29%7D%7B2%7D)
Multiplying 2 to both sides
![2(x+3) = cos^{-1} (\pi y)\\2x+6 = cos^{-1} (\pi y)](https://tex.z-dn.net/?f=2%28x%2B3%29%20%3D%20cos%5E%7B-1%7D%20%28%5Cpi%20y%29%5C%5C2x%2B6%20%3D%20cos%5E%7B-1%7D%20%28%5Cpi%20y%29)
Taking cosine on both sides
![\pi y = cos (2x+6)](https://tex.z-dn.net/?f=%5Cpi%20y%20%3D%20cos%20%282x%2B6%29)
Dividing both sides by y
![y = \frac{cos(2x+6)}{\pi }](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bcos%282x%2B6%29%7D%7B%5Cpi%20%7D)
Replace y by ![f^{-1}(x)](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29)
=> ![f^{-1}(x) = \frac{cos(2x+6)}{\pi }](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Cfrac%7Bcos%282x%2B6%29%7D%7B%5Cpi%20%7D)
Answer:
B. 11/18
Step-by-step explanation:
Solve using algebra.
x = 0.611111...
10x = 6.111111...
10x - x = 6.111111.. - 0.61111111..
9x = 5.5
x = 5.5/9
x = 11/18
Answer:
2/7
Step-by-step explanation:
From 8 am to 3 pm, there are 7 hours, and the price changed $2 (52 - 50 = 2)
In order to find the Change in price per hour, divide the total price change by the number of hours. (in most questions with the word "per", it is a division problem)
2$ / 7hrs = 2/7 dollars per hour