Answer:
8
Step-by-step explanation:
Vertical angles are congruent, so 9n=8n+8. It follows that n=8.
The length of side bc is 28
To find how long it takes to complete the order, it will take 9 times of 2/3 of a day to complete an order. 2/3 times 9 equals 18/3 which equals 6 days.
Answer:
Average rate of change: ![-3](https://tex.z-dn.net/?f=-3)
Step-by-step explanation:
<u>Remember:</u>
The average rate of change of a function over an interval
is ![\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
<u>Given:</u>
![[a,b]=[1,7]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D%3D%5B1%2C7%5D)
![f(b)=f(7)](https://tex.z-dn.net/?f=f%28b%29%3Df%287%29)
![f(a)=f(1)](https://tex.z-dn.net/?f=f%28a%29%3Df%281%29)
<u>Calculation:</u>
![f(b)=f(7)=-(7)^2+5(7)+14=-49+35+14=-49+49=0](https://tex.z-dn.net/?f=f%28b%29%3Df%287%29%3D-%287%29%5E2%2B5%287%29%2B14%3D-49%2B35%2B14%3D-49%2B49%3D0)
![f(a)=f(1)=-(1)^2+5(1)+14=-1+5+14=4+14=18](https://tex.z-dn.net/?f=f%28a%29%3Df%281%29%3D-%281%29%5E2%2B5%281%29%2B14%3D-1%2B5%2B14%3D4%2B14%3D18)
![\frac{f(b)-f(a)}{b-a}=\frac{0-18}{7-1}=\frac{-18}{6}=-3](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D%3D%5Cfrac%7B0-18%7D%7B7-1%7D%3D%5Cfrac%7B-18%7D%7B6%7D%3D-3)
Therefore, the average rate of change of the function
over the interval
is
.
Answer:
![x = 16](https://tex.z-dn.net/?f=x%20%3D%2016)
Step-by-step explanation:
5x-12=3x+20
plus 12 both sides
5x=3x+32
-3x both sides
2x=32
divide by 2 both sides
x=16