The answer is: 
<u><em>Explanation</em></u>
Given functions are.......
For finding 
, we just <u>need to multiply the two functions</u> 
and 
. So......
![(f*g)(x)= f(x)*g(x)\\ \\ (f*g)(x)= (x^2-7x+12)(\frac{3}{x^2-16})\\ \\ (f*g)(x)= [(x-3)(x-4)][\frac{3}{(x+4)(x-4)}]\\ \\ (f*g)(x)= \frac{3(x-3)}{x+4} = \frac{3x-9}{x+4}](https://tex.z-dn.net/?f=%28f%2Ag%29%28x%29%3D%20f%28x%29%2Ag%28x%29%5C%5C%20%5C%5C%20%28f%2Ag%29%28x%29%3D%20%28x%5E2-7x%2B12%29%28%5Cfrac%7B3%7D%7Bx%5E2-16%7D%29%5C%5C%20%5C%5C%20%28f%2Ag%29%28x%29%3D%20%5B%28x-3%29%28x-4%29%5D%5B%5Cfrac%7B3%7D%7B%28x%2B4%29%28x-4%29%7D%5D%5C%5C%20%5C%5C%20%28f%2Ag%29%28x%29%3D%20%5Cfrac%7B3%28x-3%29%7D%7Bx%2B4%7D%20%3D%20%5Cfrac%7B3x-9%7D%7Bx%2B4%7D)
Answer:
2160 BTU
Step-by-step explanation:
Ben looks at his plan and realizes that his building can be viewed as a triangular prism sitting on a cube.
Calculating the volume of a cube is easy… Length x Width x Height (LWH)… so 12 x 10 x 8 = 120 x 8 = 960 cubic feet for the cube part.
For the prism, it’s almost the same… but divided by 2 : (LWH)/2, so… (12 x 10 x 2) / 2 = (120 x 2) / 2 = 240 / 2 = 120 cubic feet for the prism part.
Total for the building : 960 + 120 = 1080 cubic feet
Since 2 BTU per cubic foot, the power of the unit needs to be at least 1080 x 2 = 2160 BTU.
1. Rational. It is non-terminating but repeating.
2. Irrational. It is non-terminating, non-repeating
3. Irrational. π is irrational
4. Rational. √49 is 7
5. Irrational. 22 is not a square.
