Same question thank you sir
Luis is wrong because 8 to the third power is not 24, but is 512. He multiplied 8 by 3 instead of doing 8x8x8, so Luis made an incorrect claim.
Answer:
![y = 4(0.5) {}^{x}](https://tex.z-dn.net/?f=y%20%3D%204%280.5%29%20%7B%7D%5E%7Bx%7D%20)
Step-by-step explanation:
By looking at your graph, The y intercept is (0,4).
This is an exponential function so it is represented by
![y = ab {}^{x}](https://tex.z-dn.net/?f=y%20%3D%20ab%20%7B%7D%5E%7Bx%7D%20)
where a is the vertical stretched and b is the constant rate and x is the nth power.
let plug in 0,4
![4 = ab {}^{0}](https://tex.z-dn.net/?f=4%20%3D%20ab%20%7B%7D%5E%7B0%7D%20)
![b {}^{0} = 1](https://tex.z-dn.net/?f=b%20%7B%7D%5E%7B0%7D%20%20%3D%201)
since anything to the 0 power is 1.
![4 = a \times 1](https://tex.z-dn.net/?f=4%20%3D%20a%20%5Ctimes%201)
![4 = a](https://tex.z-dn.net/?f=4%20%3D%20a)
Know let plug it in to this equation.
![y = 4b {}^{x}](https://tex.z-dn.net/?f=y%20%3D%204b%20%7B%7D%5E%7Bx%7D%20)
Let use 2,1 another point on the graph
![1 = 4b {}^{2}](https://tex.z-dn.net/?f=1%20%3D%204b%20%7B%7D%5E%7B2%7D%20)
Divide 4 by both sides
![0.25 = {b}^{2}](https://tex.z-dn.net/?f=0.25%20%3D%20%20%7Bb%7D%5E%7B2%7D%20)
take sqr root of 0.25
![0.5 = b](https://tex.z-dn.net/?f=0.5%20%3D%20b)
So
the answer is
![y = 4(0.5) {}^{x}](https://tex.z-dn.net/?f=y%20%3D%204%280.5%29%20%7B%7D%5E%7Bx%7D%20)
Answer:
C
Step-by-step explanation:
Because a unit fraction is like 1/1 1/2 1/3 1/4 1/5
and all of those start with 1 so it is C. 1/32
-1/9 + 2/9 = 1/9
Eg. -0.11... + 0.22... = 0.11