Answer:
The answer is (2,-2)
You just distribute the 2 into (1,1) and same with the -4 into (0,1) and add them together
Step-by-step explanation:
11.
Every handshake takes 2. If no one shakes hands twice with another, there are 10+1 total people shaking hands (11).
Name them 1 thru 11. Make a line and 11 goes down the line and shakes 10 hands and then leaves. 10 then shakes 9 hands and leaves. 8 then shakes 7 hands and leaves. Etc. 2 shakes hands with 1 and leaves. 1 just leaves.
11— 10 hs
10— 9 hs
9— 8 hs
8— 7 hs
7— 6 hs
6— 5 hs
5— 4 hs
4— 3 hs
3— 2 hs
2— 1 hs
1— leaves
Total handshakes 55, total people 11.
The given function is,
.
Or, ![y= \frac{2x-1}{x+5}](https://tex.z-dn.net/?f=%20y%3D%20%5Cfrac%7B2x-1%7D%7Bx%2B5%7D%20)
To find the inverse of a function, first step is to switch x and y. Therefore,
![x= \frac{2y-1}{y+5}](https://tex.z-dn.net/?f=%20x%3D%20%5Cfrac%7B2y-1%7D%7By%2B5%7D%20)
Next stpe is to solve the above equation for y t get the inverse f f(x). Hence, multiply each sides by y + 5 to get rid of fraction form. So,
![x*(y+5)= \frac{2y-1}{y+5}*(y+5)](https://tex.z-dn.net/?f=%20x%2A%28y%2B5%29%3D%20%5Cfrac%7B2y-1%7D%7By%2B5%7D%2A%28y%2B5%29%20)
xy + 5x = 2y - 1
xy = 2y - 1 - 5x Subtract 5x from each sides to isolate y.
xy - 2y = -5x - 1 Subtract 2y from each sides.
y(x - 2) = -5x -1 Take out the common factor y.
Divide each sides by x-2.
![y=\frac{(-5x-1)}{(x-2)}](https://tex.z-dn.net/?f=%20y%3D%5Cfrac%7B%28-5x-1%29%7D%7B%28x-2%29%7D%20)
So, ![f^-1(x)=\frac{-5x-1}{x-2}](https://tex.z-dn.net/?f=%20f%5E-1%28x%29%3D%5Cfrac%7B-5x-1%7D%7Bx-2%7D%20%20)
Now when we will compare
with
then we will get a = -5, b = -1, c = 1 and d=-2
So, ![\frac{a}{c} =\frac{-5}{1} =-5](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%7D%7Bc%7D%20%3D%5Cfrac%7B-5%7D%7B1%7D%20%3D-5%20)
Hope this helps you!
The trick to changing percent to decimal and decimal to present is simple
From percent to decimal : move the decimal place two places to the left and remove percent sign.
From decimal to percent: Move the decimal place two places to the right and put a percent sign.
Sooooo....
When you move the decimal - 79.2% - to the left two time - .792 - the answer left would be
A. 0.792