Multiply, then divide, Add, then subtract. PEMDAS, Please, Excuse, My, Dear, Aunt, Sally. Thats the order of operstions
Answer:
E) ![f(x)=|x-8|+2](https://tex.z-dn.net/?f=f%28x%29%3D%7Cx-8%7C%2B2)
Step-by-step explanation:
We will check each of the given choices by finding
of the given functions.
In order to find
, we plugin
in the function.
A) ![f(x)=2x+1](https://tex.z-dn.net/?f=f%28x%29%3D2x%2B1)
![f(2)=2(2)+1](https://tex.z-dn.net/?f=f%282%29%3D2%282%29%2B1)
![f(2)=4+1](https://tex.z-dn.net/?f=f%282%29%3D4%2B1)
![f(2)=5](https://tex.z-dn.net/?f=f%282%29%3D5)
B) ![f(x)=3x-2](https://tex.z-dn.net/?f=f%28x%29%3D3x-2)
![f(2)=3(2)-2](https://tex.z-dn.net/?f=f%282%29%3D3%282%29-2)
![f(2)=6-2](https://tex.z-dn.net/?f=f%282%29%3D6-2)
![f(2)=4](https://tex.z-dn.net/?f=f%282%29%3D4)
C) ![f(x)=x(5x-2)](https://tex.z-dn.net/?f=f%28x%29%3Dx%285x-2%29)
![f(2)=2(5(2)-2)](https://tex.z-dn.net/?f=f%282%29%3D2%285%282%29-2%29)
![f(2)=2(10-2)](https://tex.z-dn.net/?f=f%282%29%3D2%2810-2%29)
![f(2)=2(8)](https://tex.z-dn.net/?f=f%282%29%3D2%288%29)
![f(2)=16](https://tex.z-dn.net/?f=f%282%29%3D16)
D) ![f(x)=3x-2x+4](https://tex.z-dn.net/?f=f%28x%29%3D3x-2x%2B4)
![f(2)=3(2)-2(2)+4](https://tex.z-dn.net/?f=f%282%29%3D3%282%29-2%282%29%2B4)
![f(2)=6-4+4](https://tex.z-dn.net/?f=f%282%29%3D6-4%2B4)
![f(2)=6](https://tex.z-dn.net/?f=f%282%29%3D6)
E) ![f(x)=|x-8|+2](https://tex.z-dn.net/?f=f%28x%29%3D%7Cx-8%7C%2B2)
![f(2)=|2-8|+2](https://tex.z-dn.net/?f=f%282%29%3D%7C2-8%7C%2B2)
![f(2)=|-6|+2](https://tex.z-dn.net/?f=f%282%29%3D%7C-6%7C%2B2)
[Since absolute value of any number is positive]
![f(2)=8](https://tex.z-dn.net/?f=f%282%29%3D8)
So, the function in E has value =8 for ![f(2)](https://tex.z-dn.net/?f=f%282%29)
Answer:
D
The X Axis is the time, the Y Axis is the amount of pages being read.
It's the top one.
vertex moves left 3 down 4 from the origin.
Answer:
Third placer consumed 24 hot dogs.
Winner consumed 48 hot dogs.
Step-by-step explanation:
Lets assume that the third runner up eats x hot dogs.
The total time for the contest is 15x seconds.
Given is that the winner ate (x+24) hot dogs
The winner's rate of eating is 1 hot dog per 7.5 seconds.
And we know the rate = ![\frac{totaltime}{number of hot dogs eaten}](https://tex.z-dn.net/?f=%5Cfrac%7Btotaltime%7D%7Bnumber%20of%20hot%20dogs%20eaten%7D)
We get;
![\frac{15x}{x+24} =7.5](https://tex.z-dn.net/?f=%5Cfrac%7B15x%7D%7Bx%2B24%7D%20%3D7.5)
![(x+24)7.5=15x](https://tex.z-dn.net/?f=%28x%2B24%297.5%3D15x)
![7.5x+180=15x](https://tex.z-dn.net/?f=7.5x%2B180%3D15x)
![7.5x=180](https://tex.z-dn.net/?f=7.5x%3D180)
x = 24 (third placer)
And the winner consumed
hot dogs.