Answer:
47
Step-by-step explanation:
Answer:
![- {x}^{2} + x + 24](https://tex.z-dn.net/?f=%20-%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%20x%20%2B%2024)
Step-by-step explanation:
Subtract the functions:
![f - g = (36 - {x}^{2} ) - (8 - x)](https://tex.z-dn.net/?f=f%20-%20g%20%3D%20%2836%20-%20%20%7Bx%7D%5E%7B2%7D%20%29%20-%20%288%20-%20x%29)
Simplify:
![(36 - {x}^{2} ) - (8 - x) \\ 36 - {x}^{2} - 8 + x \\ - {x}^{2} + x + 24](https://tex.z-dn.net/?f=%2836%20-%20%20%7Bx%7D%5E%7B2%7D%20%29%20-%20%288%20-%20x%29%20%5C%5C%2036%20-%20%20%7Bx%7D%5E%7B2%7D%20%20-%208%20%2B%20x%20%5C%5C%20%20-%20%7Bx%7D%5E%7B2%7D%20%20%2B%20x%20%2B%2024)
Answer:
the mean of A and C is 10
Step-by-step explanation:
Given;
mean of A and B = 20
mean of B and C = 24
mean of A, B and C = 18
![\frac{A + B}{2} = 20\\\\A+ B = 40 ---- (1)\\\\\frac{B + C}{2} = 24\\\\B+ C = 48----(2)\\\\\frac{A+ B+ C}{3} = 18\\\\A+ B+ C= 54---(3)\\\\From (1); \ A = 40 - B\\\\From(2); \ C = 48 - B\\\\\Substitute \ the \ values \ of \ A \ and \ C \ into \ (3)\\\\(40-B) + B + (48-B) = 54\\\\simplify;\\\\(40 + 48) + (B-B-B)= 54\\\\88 -B = 54\\\\-B = 54-88\\\\-B = -34\\\\B = 34](https://tex.z-dn.net/?f=%5Cfrac%7BA%20%2B%20B%7D%7B2%7D%20%3D%2020%5C%5C%5C%5CA%2B%20B%20%3D%2040%20----%20%281%29%5C%5C%5C%5C%5Cfrac%7BB%20%2B%20C%7D%7B2%7D%20%3D%2024%5C%5C%5C%5CB%2B%20C%20%3D%2048----%282%29%5C%5C%5C%5C%5Cfrac%7BA%2B%20B%2B%20C%7D%7B3%7D%20%3D%2018%5C%5C%5C%5CA%2B%20B%2B%20C%3D%2054---%283%29%5C%5C%5C%5CFrom%20%281%29%3B%20%5C%20A%20%3D%2040%20-%20B%5C%5C%5C%5CFrom%282%29%3B%20%5C%20C%20%3D%2048%20-%20B%5C%5C%5C%5C%5CSubstitute%20%5C%20the%20%5C%20values%20%5C%20of%20%5C%20A%20%5C%20and%20%5C%20C%20%5C%20into%20%5C%20%283%29%5C%5C%5C%5C%2840-B%29%20%2B%20B%20%2B%20%2848-B%29%20%3D%2054%5C%5C%5C%5Csimplify%3B%5C%5C%5C%5C%2840%20%2B%2048%29%20%2B%20%28B-B-B%29%3D%2054%5C%5C%5C%5C88%20-B%20%3D%2054%5C%5C%5C%5C-B%20%3D%2054-88%5C%5C%5C%5C-B%20%3D%20-34%5C%5C%5C%5CB%20%3D%2034)
Recall; A = 40 - B
A = 40 - 34
A = 6
Also, C = 48 - B
C = 48 - 34
C = 14
Therefore, the mean of A and C is calculated as;
![= \frac{A + C}{2} \\\\= \frac{6 + 14}{2} \\\\= 10](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7BA%20%2B%20C%7D%7B2%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B6%20%2B%2014%7D%7B2%7D%20%5C%5C%5C%5C%3D%2010)
(n+11)(n-4) is your answer