Answer: 1597x-60/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
![y=f(x)=\dfrac 19 x +2\\\\\text{Replace x with y and then solve for y,}\\\\~~~~~~~x = \dfrac 19 y+2\\\\\implies 9x =y + 18~~~~~~~~~~~~~~~;[\text{Multiply both sides by 9}]\\ \\\implies y = 9x -18\\\\\implies f^{-1}(x) = 9x -18\\\\\text{Hence, the inverse of the given function is}~ f^{-1}(x) = 9x -18.](https://tex.z-dn.net/?f=y%3Df%28x%29%3D%5Cdfrac%2019%20x%20%2B2%5C%5C%5C%5C%5Ctext%7BReplace%20x%20with%20y%20and%20then%20solve%20for%20y%2C%7D%5C%5C%5C%5C~~~~~~~x%20%3D%20%5Cdfrac%2019%20y%2B2%5C%5C%5C%5C%5Cimplies%209x%20%3Dy%20%2B%2018~~~~~~~~~~~~~~~%3B%5B%5Ctext%7BMultiply%20both%20sides%20by%209%7D%5D%5C%5C%20%5C%5C%5Cimplies%20y%20%3D%209x%20-18%5C%5C%5C%5C%5Cimplies%20f%5E%7B-1%7D%28x%29%20%3D%209x%20-18%5C%5C%5C%5C%5Ctext%7BHence%2C%20the%20inverse%20of%20the%20given%20function%20is%7D~%20%20f%5E%7B-1%7D%28x%29%20%3D%209x%20-18.)
Answer:
1/3
Step-by-step explanation:
To find the slope subtract the second y-coordinate from the first y-coordinate and divide it by the result of the second x-coordinate from the first.
-2 - -1 = -1
-12 - -8= -3
-1/-3 = 1/3
Answer:
There were 120 employees prior to the layoffs.
Step-by-step explanation:
x is original amount of employees
0.7x=84
divide by 0.7 both sides
x=120 employees
downsize 30% is 36, 120-36=84
She should have added 2 to both sides of the equation instead of subtracting 2.
2x -2 = 14
Add 2 to both sides:
2x = 16
Divide both sides by 2:
x = 8
