I think the answer is 7, Please let me know if im wrong
Answer:
Hope this helps
Step-by-step explanation:
f^-1 (x) = −x + 1
Answer:
It represents growth, and the percentage rate of increase is of 8%
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
![A(t) = A(0)(1 + r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281%20%2B%20r%29%5Et)
In which A(0) is the initial amount and r is the rate of change, as a decimal. If positive, it is growth, if negative, it is decay.
In this question:
![y = 21(1.08)^x](https://tex.z-dn.net/?f=y%20%3D%2021%281.08%29%5Ex)
So
![1 + r = 1.08](https://tex.z-dn.net/?f=1%20%2B%20r%20%3D%201.08)
![r = 0.08](https://tex.z-dn.net/?f=r%20%3D%200.08)
Since r is positive, it represents growth, and the percentage rate of increase is of 0.08*100% = 8%
Answer:
![3.84 * 10^{9}](https://tex.z-dn.net/?f=3.84%20%2A%2010%5E%7B9%7D)
Step-by-step explanation:
![\\\\(1.2 * 10^{4}) * (3.2 * 10^{5}) = 1.2 * 3.2 * 10^{4} * 10^{5} = 3.84 * 10^{4+5} = 3.84 * 10^{9} \\\\](https://tex.z-dn.net/?f=%5C%5C%5C%5C%281.2%20%2A%2010%5E%7B4%7D%29%20%2A%20%283.2%20%2A%2010%5E%7B5%7D%29%20%3D%201.2%20%2A%203.2%20%2A%2010%5E%7B4%7D%20%2A%2010%5E%7B5%7D%20%3D%203.84%20%2A%2010%5E%7B4%2B5%7D%20%3D%203.84%20%2A%2010%5E%7B9%7D%20%5C%5C%5C%5C)
Answer:
![A' = (-2,18)](https://tex.z-dn.net/?f=A%27%20%3D%20%28-2%2C18%29)
Step-by-step explanation:
Given
![A = (-1,9)](https://tex.z-dn.net/?f=A%20%3D%20%28-1%2C9%29)
![k = 2](https://tex.z-dn.net/?f=k%20%3D%202)
Required
The image
Let the point be called A, such that the image is A'.
A' is calculated as:
![A' = k * A](https://tex.z-dn.net/?f=A%27%20%3D%20k%20%2A%20A)
This gives:
![A' = 2 * (-1,9)](https://tex.z-dn.net/?f=A%27%20%3D%202%20%2A%20%28-1%2C9%29)
![A' = (-2,18)](https://tex.z-dn.net/?f=A%27%20%3D%20%28-2%2C18%29)