Answer:
for question #1) 6 times n + 12 = 60
Step-by-step explanation:
it works trust me
ps. im in high school in a GT math class
From the given f(x) and g(x), the value of (g-f)(2)=1
Given :
The functions are
![f(x)=\frac{x+3}{x^2-x-12} \\g(x)=log_4(x)](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7Bx%2B3%7D%7Bx%5E2-x-12%7D%20%5C%5Cg%28x%29%3Dlog_4%28x%29)
Lets evaluate (g-f)(2)
![(g-f)(2)=g(2)-f(2)](https://tex.z-dn.net/?f=%28g-f%29%282%29%3Dg%282%29-f%282%29)
To find out g(2), replace 2 for x in g(x) and then replace 2 for x in f(x)
![f(x)=\frac{x+3}{x^2-x-12} \\g(x)=log_4(x)\\x=2\\f(2)=\frac{2+3}{2^2-2-12}=\frac{5}{-10}=-\frac{1}{2} \\\\g(2)=log_4(2)=\frac{1}{2}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7Bx%2B3%7D%7Bx%5E2-x-12%7D%20%5C%5Cg%28x%29%3Dlog_4%28x%29%5C%5Cx%3D2%5C%5Cf%282%29%3D%5Cfrac%7B2%2B3%7D%7B2%5E2-2-12%7D%3D%5Cfrac%7B5%7D%7B-10%7D%3D-%5Cfrac%7B1%7D%7B2%7D%20%20%5C%5C%5C%5Cg%282%29%3Dlog_4%282%29%3D%5Cfrac%7B1%7D%7B2%7D)
Now we find g(2)-f(2)
![(g-f)(2)=g(2)-f(2)=\frac{1}{2}-\frac{-1}{2} =1](https://tex.z-dn.net/?f=%28g-f%29%282%29%3Dg%282%29-f%282%29%3D%5Cfrac%7B1%7D%7B2%7D-%5Cfrac%7B-1%7D%7B2%7D%20%20%3D1)
Learn more : brainly.com/question/15038769
Answer:
answer is 1
Step-by-step explanation:
I personally think Natalie's bill is the greatest because $24.25 × 10 =x
Your slope would be -1/4x. If you look at the y-intercept on your graph, which is -2, you would start to count up one box and over 4 boxes to the left. We call this rise/run. So knowing what the slope is now, your entire equation would be y= -1/4x - 2. (Also, if the line is going up towards the left it is a negative slope, if it's to the right it is positive.) I hope this helps love! :)