We need to follow PEMDAS.
We need to do the division before we can do the subtract (which becomes into addition because of the signs).
12 - 16/-4
12 - (-4)
12 + 4
16
Your final answer is C. 16.
Answer:
Step-by-step explanation:
Step 1: Convert into improper fractions
Step 2: Find least common denominator and find equivalent fractions
Step 3 : Do the required operation
![3\frac{1}{2}+2\frac{1}{4}-1\frac{1}{2}=\frac{7}{2}+\frac{9}{4}-\frac{3}{2}\\](https://tex.z-dn.net/?f=3%5Cfrac%7B1%7D%7B2%7D%2B2%5Cfrac%7B1%7D%7B4%7D-1%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B7%7D%7B2%7D%2B%5Cfrac%7B9%7D%7B4%7D-%5Cfrac%7B3%7D%7B2%7D%5C%5C)
Least common denominator of 2 , 4 = 4
![=\frac{7*2}{2*2}+\frac{9}{4}-\frac{3*2}{2*2}\\\\=\frac{14}{4}+\frac{9}{4}-\frac{6}{4}\\\\=\frac{14+9-6}{4}\\\\=\frac{17}{4}\\\\=4\frac{1}{4}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B7%2A2%7D%7B2%2A2%7D%2B%5Cfrac%7B9%7D%7B4%7D-%5Cfrac%7B3%2A2%7D%7B2%2A2%7D%5C%5C%5C%5C%3D%5Cfrac%7B14%7D%7B4%7D%2B%5Cfrac%7B9%7D%7B4%7D-%5Cfrac%7B6%7D%7B4%7D%5C%5C%5C%5C%3D%5Cfrac%7B14%2B9-6%7D%7B4%7D%5C%5C%5C%5C%3D%5Cfrac%7B17%7D%7B4%7D%5C%5C%5C%5C%3D4%5Cfrac%7B1%7D%7B4%7D)
We have a function,
![f(x)=x^2-1](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-1)
and we are asked to find its inverse function.
An inverse function essentially gets you the original value that was dropped into a function.
For example,
If I put 5 into
I will get 24. Now If I take 24 and put it into the inverse function I have to get number 5 back.
The way to determine the inverse function swap the x and the
, then solve for
,
![x=f(x)^2-1](https://tex.z-dn.net/?f=x%3Df%28x%29%5E2-1)
![f(x)^2=x+1](https://tex.z-dn.net/?f=f%28x%29%5E2%3Dx%2B1)
![f(x)=\pm\sqrt{x+1}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cpm%5Csqrt%7Bx%2B1%7D)
Of course the notation demands that the obtained function be called,
![f^{-1}(x)=\pm\sqrt{x+1}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Cpm%5Csqrt%7Bx%2B1%7D)
Hope this helps :)
Answer: 4/7
Find the greatest common factor between 8 and 14, which is 2. Then divide both numbers by 2 and u get 4 and 7. Thus 8/14=4/7