Answer:
12
Step-by-step explanation:
3 shirts x 2 pants x 2 pair shoes= 12 outfits
Answer:
y = 32
Step-by-step explanation:
![\frac{y}{2}+22=38\\\frac{y}{2}=16\\y=32](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B2%7D%2B22%3D38%5C%5C%5Cfrac%7By%7D%7B2%7D%3D16%5C%5Cy%3D32)
Use proportions , it helps
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)