Answer:
![x=\frac{M-Hy}{B}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7BM-Hy%7D%7BB%7D)
Step-by-step explanation:
Bx+Hy=M
Bx=M-Hy
![x=\frac{M-Hy}{B}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7BM-Hy%7D%7BB%7D)
a.
has an average value on [5, 11] of
![f_{\rm ave}=\displaystyle\frac1{11-5}\int_5^{11}(x-7)^2\,\mathrm dx=\frac{(x-7)^3}{18}\bigg|_5^{11}=\frac{4^3-(-2)^3}{18}=4](https://tex.z-dn.net/?f=f_%7B%5Crm%20ave%7D%3D%5Cdisplaystyle%5Cfrac1%7B11-5%7D%5Cint_5%5E%7B11%7D%28x-7%29%5E2%5C%2C%5Cmathrm%20dx%3D%5Cfrac%7B%28x-7%29%5E3%7D%7B18%7D%5Cbigg%7C_5%5E%7B11%7D%3D%5Cfrac%7B4%5E3-%28-2%29%5E3%7D%7B18%7D%3D4)
b. The mean value theorem guarantees the existence of
such that
. This happens for
![(c-7)^2=4\implies c-7=\pm2\implies c=9\text{ or }c=5](https://tex.z-dn.net/?f=%28c-7%29%5E2%3D4%5Cimplies%20c-7%3D%5Cpm2%5Cimplies%20c%3D9%5Ctext%7B%20or%20%7Dc%3D5)
Answer:
75
Step-by-step explanation:
5x-9+9x-6=111
14x-15=111
14x= 126
x=9
-6+9(9)= 75
Answer:
i dunno
Step-by-step explanation:
Im a middle schooler lol