Y= 4x+4
hope this helps :)
![(-1, 9), \ (0, 6), \ (1, 4), \ (2, 2\frac{2}{3} ), \ (1, \frac{7}{9} )](https://tex.z-dn.net/?f=%28-1%2C%209%29%2C%20%5C%20%280%2C%206%29%2C%20%5C%20%281%2C%204%29%2C%20%5C%20%282%2C%202%5Cfrac%7B2%7D%7B3%7D%20%29%2C%20%5C%20%281%2C%20%5Cfrac%7B7%7D%7B9%7D%20%29)
Solution:
Given ![f(x)=6\left(\frac{2}{3}\right)^{x}](https://tex.z-dn.net/?f=f%28x%29%3D6%5Cleft%28%5Cfrac%7B2%7D%7B3%7D%5Cright%29%5E%7Bx%7D)
Domain = {–1, 0, 1, 2, 3}
Substitute the given values in the function.
At x = –1,
![f(-1)=6\left(\frac{2}{3}\right)^{-1}](https://tex.z-dn.net/?f=f%28-1%29%3D6%5Cleft%28%5Cfrac%7B2%7D%7B3%7D%5Cright%29%5E%7B-1%7D)
![=6 \times \frac{3}{2}](https://tex.z-dn.net/?f=%3D6%20%5Ctimes%20%5Cfrac%7B3%7D%7B2%7D)
= 9
![(x, f(x))=(-1, 9)](https://tex.z-dn.net/?f=%28x%2C%20f%28x%29%29%3D%28-1%2C%209%29)
At x = –0,
![f(0)=6\left(\frac{2}{3}\right)^{0}=6](https://tex.z-dn.net/?f=f%280%29%3D6%5Cleft%28%5Cfrac%7B2%7D%7B3%7D%5Cright%29%5E%7B0%7D%3D6)
![(x, f(x))=(0,6)](https://tex.z-dn.net/?f=%28x%2C%20f%28x%29%29%3D%280%2C6%29)
At x = 1,
![f(1)=6\left(\frac{2}{3}\right)^{1}=4](https://tex.z-dn.net/?f=f%281%29%3D6%5Cleft%28%5Cfrac%7B2%7D%7B3%7D%5Cright%29%5E%7B1%7D%3D4)
![(x, f(x))=(1,4)](https://tex.z-dn.net/?f=%28x%2C%20f%28x%29%29%3D%281%2C4%29)
At x = 2,
![f(2)=6\left(\frac{2}{3}\right)^{2}](https://tex.z-dn.net/?f=f%282%29%3D6%5Cleft%28%5Cfrac%7B2%7D%7B3%7D%5Cright%29%5E%7B2%7D)
![=\frac{24}{9}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B24%7D%7B9%7D)
(Cancel the common terms)
![(x, f(x))=(2, 2\frac{2}{3} )](https://tex.z-dn.net/?f=%28x%2C%20f%28x%29%29%3D%282%2C%202%5Cfrac%7B2%7D%7B3%7D%20%29)
At x = 3,
![f(3)=6\left(\frac{2}{3}\right)^{3}](https://tex.z-dn.net/?f=f%283%29%3D6%5Cleft%28%5Cfrac%7B2%7D%7B3%7D%5Cright%29%5E%7B3%7D)
(Cancel the common terms)
![=\frac{16}{9}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B16%7D%7B9%7D)
![(x, f(x))=(3, 1\frac{7}{9} )](https://tex.z-dn.net/?f=%28x%2C%20f%28x%29%29%3D%283%2C%201%5Cfrac%7B7%7D%7B9%7D%20%29)
Plot the points in the graph.
The image of the graph is attached below.
Lolol diophantine equations. Try to use several factoring tricks. Also, search up Simon's Favorite Factoring Trick. Those might help you. Good luck in your competitive mathematical career!
Answer:
3 and 3/5
10 and 2/5
2 and 11/10
Step-by-step explanation:
Answer:
A: (m + p, n + r)
Step-by-step explanation:
![Midpoint \: of \: AC \\ = \bigg( \frac{2m + 2p}{2} \: \: \frac{2n + 2r}{2} \bigg) \\ \\ = \bigg( m + p, \: \: n + r \bigg)](https://tex.z-dn.net/?f=Midpoint%20%5C%3A%20%20of%20%20%5C%3A%20AC%20%20%5C%5C%20%3D%20%20%5Cbigg%28%20%5Cfrac%7B2m%20%2B%202p%7D%7B2%7D%20%20%5C%3A%20%20%5C%3A%20%20%5Cfrac%7B2n%20%2B%202r%7D%7B2%7D%20%20%5Cbigg%29%20%5C%5C%20%20%5C%5C%20%3D%20%20%5Cbigg%28%20m%20%2B%20p%2C%20%5C%3A%20%20%5C%3A%20n%20%2B%20r%20%5Cbigg%29)