Answer:
19.6
Step-by-step explanation:
21+3=24
24-7.20=16.8
4+2=6
6-8.80=-2.8
19.6
Answer:
x= 10
Step-by-step explanation:
If line m is parallel to line n,
(8x +50)°= 130° (corr. ∠s, m//n)
8x +50= 130
Bring constants to one side:
8x= 130 -50
8x= 80
Divide both sides by 8:
x= 80 ÷8
x= 10
<h2>
Answer:</h2><h2 />
If we have two functions
such that
for every
in the domain of
, and
for every for every
in the domain of
. If we prove this, then
is the invers function of
and denoted by ![f^{-1}](https://tex.z-dn.net/?f=f%5E%7B-1%7D)
1. We need to prove whether
. So:
![f(x)=\frac{4}{5}x+1 \\ \\ g(x)=\frac{5x-5}{4} \\ \\ So: \\ \\ f(g(x))=\frac{4}{5}\left(\frac{5x-5}{4})+1 \therefore f(g(x))=\frac{4}{5}\left(\frac{5x-5}{4})+1](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B4%7D%7B5%7Dx%2B1%20%5C%5C%20%5C%5C%20g%28x%29%3D%5Cfrac%7B5x-5%7D%7B4%7D%20%5C%5C%20%5C%5C%20So%3A%20%5C%5C%20%5C%5C%20f%28g%28x%29%29%3D%5Cfrac%7B4%7D%7B5%7D%5Cleft%28%5Cfrac%7B5x-5%7D%7B4%7D%29%2B1%20%5Ctherefore%20f%28g%28x%29%29%3D%5Cfrac%7B4%7D%7B5%7D%5Cleft%28%5Cfrac%7B5x-5%7D%7B4%7D%29%2B1)
![\therefore f(g(x))=x-1+1 \\ \\ \boxed{f(g(x))=x}](https://tex.z-dn.net/?f=%5Ctherefore%20f%28g%28x%29%29%3Dx-1%2B1%20%5C%5C%20%5C%5C%20%5Cboxed%7Bf%28g%28x%29%29%3Dx%7D)
2. We need to prove whether
. So:
![g(f(x))=\frac{5(\frac{4x}{5}+1)-5}{4} \\ \\ \\ g(f(x))=\frac{4x+5-5}{4} \\ \\ \\ g(f(x))=\frac{4x}{4} \\ \\ \\ g(f(x))=x](https://tex.z-dn.net/?f=g%28f%28x%29%29%3D%5Cfrac%7B5%28%5Cfrac%7B4x%7D%7B5%7D%2B1%29-5%7D%7B4%7D%20%5C%5C%20%5C%5C%20%5C%5C%20g%28f%28x%29%29%3D%5Cfrac%7B4x%2B5-5%7D%7B4%7D%20%5C%5C%20%5C%5C%20%5C%5C%20g%28f%28x%29%29%3D%5Cfrac%7B4x%7D%7B4%7D%20%5C%5C%20%5C%5C%20%5C%5C%20g%28f%28x%29%29%3Dx)
Since
, then:
are inverses to each other.
I think it's (h= $6.25) because if you divide all y's by x you will get 6.25 every time. so the answer is most likely $6.25
(X-4)^2 + (y+2) ^2 = 25 that’s in standard form I’m trying to figure out the other ones