Answer:
It goes in one direction and indefinitely.
It consist one endpoint.
Step-by-step explanation:
A ray is a straight line that emerges out of a start point and moves in a direction. The line begins with the start point and moves in one direction. The start point and the other side are named with capital letters. It is denoted by writing the two letters and placing an arrow above the letters. There is no endpoint in a ray.
Answer:
![y = 3(7)^x](https://tex.z-dn.net/?f=y%20%3D%203%287%29%5Ex)
Step-by-step explanation:
Given
![(x_1,y_1) = (0,3)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%280%2C3%29)
![(x_2,y_2) = (4,7203)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%284%2C7203%29)
Required
Determine an exponential function
Substitute 0 for x and 3 for y in ![y=ab^x](https://tex.z-dn.net/?f=y%3Dab%5Ex)
![3 = ab^0](https://tex.z-dn.net/?f=3%20%3D%20ab%5E0)
![3 = a*1](https://tex.z-dn.net/?f=3%20%3D%20a%2A1)
![3 = a](https://tex.z-dn.net/?f=3%20%3D%20a)
![a = 3](https://tex.z-dn.net/?f=a%20%3D%203)
Substitute 4 for x and 7203 for y in ![y=ab^x](https://tex.z-dn.net/?f=y%3Dab%5Ex)
![7203= ab^4](https://tex.z-dn.net/?f=7203%3D%20ab%5E4)
Substitute 3 for a
![7203= 3*b^4](https://tex.z-dn.net/?f=7203%3D%203%2Ab%5E4)
Divide both sides by 3
![2401= b^4](https://tex.z-dn.net/?f=2401%3D%20b%5E4)
Take 4th root of both sides
![\sqrt[4]{2401} = b](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2401%7D%20%3D%20b)
![7 = b](https://tex.z-dn.net/?f=7%20%3D%20b)
![b = 7](https://tex.z-dn.net/?f=b%20%3D%207)
Substitute 3 for a and 7 for b in ![y=ab^x](https://tex.z-dn.net/?f=y%3Dab%5Ex)
![y = 3(7)^x](https://tex.z-dn.net/?f=y%20%3D%203%287%29%5Ex)
Finding the inverse function of
![\mathsf{f(x)=10-x^2}](https://tex.z-dn.net/?f=%5Cmathsf%7Bf%28x%29%3D10-x%5E2%7D)
Remember that when you compose
![f](https://tex.z-dn.net/?f=f)
with its inverse
![\mathsf{f^{-1}},](https://tex.z-dn.net/?f=%5Cmathsf%7Bf%5E%7B-1%7D%7D%2C)
you'll get the identity function:
![\mathsf{(f\circ f^{-1})(x)=x}\\\\ \mathsf{f\big[f^{-1}(x)\big]=x}\\\\](https://tex.z-dn.net/?f=%5Cmathsf%7B%28f%5Ccirc%20f%5E%7B-1%7D%29%28x%29%3Dx%7D%5C%5C%5C%5C%20%5Cmathsf%7Bf%5Cbig%5Bf%5E%7B-1%7D%28x%29%5Cbig%5D%3Dx%7D%5C%5C%5C%5C)
So if
![\mathsf{f(x)=10-x^2}](https://tex.z-dn.net/?f=%5Cmathsf%7Bf%28x%29%3D10-x%5E2%7D)
then
![\mathsf{f\big[f^{-1}(x)\big]=10-[f^{-1}(x)]^2}\\\\ \mathsf{x=10-[f^{-1}(x)]^2}\\\\ \mathsf{[f^{-1}(x)]^2=10-x}\\\\ \mathsf{f^{-1}(x)=\pm \sqrt{10-x}}\\\\ \mathsf{f^{-1}(x)=-\sqrt{10-x}~~~or~~~f^{-1}(x)=\sqrt{10-x}}](https://tex.z-dn.net/?f=%5Cmathsf%7Bf%5Cbig%5Bf%5E%7B-1%7D%28x%29%5Cbig%5D%3D10-%5Bf%5E%7B-1%7D%28x%29%5D%5E2%7D%5C%5C%5C%5C%20%5Cmathsf%7Bx%3D10-%5Bf%5E%7B-1%7D%28x%29%5D%5E2%7D%5C%5C%5C%5C%20%5Cmathsf%7B%5Bf%5E%7B-1%7D%28x%29%5D%5E2%3D10-x%7D%5C%5C%5C%5C%20%5Cmathsf%7Bf%5E%7B-1%7D%28x%29%3D%5Cpm%20%5Csqrt%7B10-x%7D%7D%5C%5C%5C%5C%20%5Cmathsf%7Bf%5E%7B-1%7D%28x%29%3D-%5Csqrt%7B10-x%7D~~~or~~~f%5E%7B-1%7D%28x%29%3D%5Csqrt%7B10-x%7D%7D)
The sign of the inverse depends on the domain of
![\mathsf{f(x)}](https://tex.z-dn.net/?f=%5Cmathsf%7Bf%28x%29%7D)
itself, and where it's invertible.
If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2198197 I hope this helps.
Tags: <em>inverse function definition identity domain algebra</em>
Answer: 5000000
Step-by-step explanation:
0.55 x 1
975 = 5000000
Answer:
If this is the only information you have, the answer would be somewhere around 125. Usually, you would find the third quartile by first finding the median. Then find the median of all of the numbers between the median and the largest number, which is the third quartile.
Step-by-step explanation: