Answer:
![y=-35x-2](https://tex.z-dn.net/?f=y%3D-35x-2)
Step-by-step explanation:
![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
m= slope
c= y intercept
therefore,
m=-35
c=-2
![y=-35 x-2](https://tex.z-dn.net/?f=y%3D-35%20x-2)
Answer:
The 2nd choice is correct
Step-by-step explanation:
To know if a dilation is an expansion ( bigger) r a contraction ( smaller) ignore the negative sign.
If the number is larger than 1, it is an expansion, if the number is smaller than 1 it is a contraction.
-4 is an expansion
2.5 is an expansion
2/3 is a contraction
-3/4 is a contraction
The choices are missing, but we can find the right answer by using the given function
The inverse of
is
Step-by-step explanation:
Let us revise the steps of finding the inverse of a function
- Write the function in the form of y = f(x)
- Switch x and y
- Solve to find the new y
∵ ![y=2^{3x}+ 1](https://tex.z-dn.net/?f=y%3D2%5E%7B3x%7D%2B%201)
- Switch x and y
∴ ![x=2^{3y}+1](https://tex.z-dn.net/?f=x%3D2%5E%7B3y%7D%2B1)
- Subtract 1 fro both sides
∴ ![x-1=2^{3y}](https://tex.z-dn.net/?f=x-1%3D2%5E%7B3y%7D)
- Insert ㏒ in both sides
∴ ![log(x-1)=log(2^{3y})](https://tex.z-dn.net/?f=log%28x-1%29%3Dlog%282%5E%7B3y%7D%29)
- Remember ![log(a^{n})=n.log(a)](https://tex.z-dn.net/?f=log%28a%5E%7Bn%7D%29%3Dn.log%28a%29)
∵ ![log(2^{3y})=(3y).log(2)](https://tex.z-dn.net/?f=log%282%5E%7B3y%7D%29%3D%283y%29.log%282%29)
∴ ![log(x-1)=(3y).log(2)](https://tex.z-dn.net/?f=log%28x-1%29%3D%283y%29.log%282%29)
- Divide both sides by ㏒(2)
∴ ![\frac{log(x-1)}{log(2)}=3y](https://tex.z-dn.net/?f=%5Cfrac%7Blog%28x-1%29%7D%7Blog%282%29%7D%3D3y)
- Divide both sides by 3
∴ ![\frac{1}{3}[\frac{log(x-1)}{log(2)}]=y](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5B%5Cfrac%7Blog%28x-1%29%7D%7Blog%282%29%7D%5D%3Dy)
- Switch the two sides
∴ ![y=\frac{1}{3}[\frac{log(x-1)}{log(2)}]](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7D%5B%5Cfrac%7Blog%28x-1%29%7D%7Blog%282%29%7D%5D)
The inverse of
is
Learn more:
You can learn more about the logarithmic function in brainly.com/question/11921476
#LearnwithBrainly
Answer:
she would probably drive 520 miles in she is driving 65 mph for a whole 8 hours
Step-by-step explanation: