Answer:
18/28, or percentage wise, approximately 64.2%
Step-by-step explanation:
Take the seniors and divide it by the total # of students, and you got your probability!
12.25 is the scale factor if the pre image is 12 and the image is 147
It would actually be 62.5
Answer:
The value of g'(10)=![\frac{(-1)}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B%28-1%29%7D%7B16%7D)
Step-by-step explanation:
Given function is f(x)=![\frac{4}{x} + 2](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7Bx%7D%20%2B%202)
Take f(x)=y
y=![\frac{4}{x} + 2](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7Bx%7D%20%2B%202)
Subtract 2 from both side.
y-2=![\frac{4}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7Bx%7D)
x=![\frac{4}{y-2}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7By-2%7D)
The inverse of f(x) is written as ![\frac{4}{y-2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7By-2%7D)
It is said as g is inverse of f
g(y)=\frac{4}{y-2}[/tex]
g(y)=![\frac{4}{y-2}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7By-2%7D)
g(10)=![\frac{4}{10-2}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B10-2%7D)
g(10)=![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Differentiating both sides we get,
g'(y)=![\frac{4(-1)}{(y-2)^{2}}+0](https://tex.z-dn.net/?f=%5Cfrac%7B4%28-1%29%7D%7B%28y-2%29%5E%7B2%7D%7D%2B0)
g'(y)=![\frac{(-4)}{(y-2)^{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%28-4%29%7D%7B%28y-2%29%5E%7B2%7D%7D)
To find g'(10)=![\frac{(-4)}{(10-2)^{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%28-4%29%7D%7B%2810-2%29%5E%7B2%7D%7D)
g'(10)=![\frac{(-1)}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B%28-1%29%7D%7B16%7D)
-5, 50
Explaination: that is the point they connect.