Answer:
x=-3/2 or x=0
Step-by-step explanation:
Subtract 8 from both sides
3|4x+3|+8-8=17-8
Simplify
3|4x+3| = 9
Divide both sides by 3
3|4x+3|/3 = 9/3
Simplify
|4x+3|=3
Apply absolute rule
4x+3=-3 or 4x+3=3
Solve
x=-3/2 or x=0
Answer:
Midline is ![d=-0.6](https://tex.z-dn.net/?f=d%3D-0.6)
Final equation is ![f(x)=4.6cos(x+3)-0.6](https://tex.z-dn.net/?f=f%28x%29%3D4.6cos%28x%2B3%29-0.6)
Step-by-step explanation:
<u>General Sinusodal Function</u>
<u />![f(x)=a*cos(bx+c)+d](https://tex.z-dn.net/?f=f%28x%29%3Da%2Acos%28bx%2Bc%29%2Bd)
- Amplitude:
![a](https://tex.z-dn.net/?f=a)
- Period:
![\frac{2\pi}{|b|}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%7D%7B%7Cb%7C%7D)
- Phase Shift:
![-\frac{c}{b}](https://tex.z-dn.net/?f=-%5Cfrac%7Bc%7D%7Bb%7D)
- Midline:
![Max-a=d](https://tex.z-dn.net/?f=Max-a%3Dd)
<u>Given Information</u>
- Amplitude:
![a=4.6](https://tex.z-dn.net/?f=a%3D4.6)
- Period:
![\frac{2\pi}{|b|}=\frac{2\pi}{|1|}=\frac{2\pi}{1}=2\pi](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%7D%7B%7Cb%7C%7D%3D%5Cfrac%7B2%5Cpi%7D%7B%7C1%7C%7D%3D%5Cfrac%7B2%5Cpi%7D%7B1%7D%3D2%5Cpi)
- Phase Shift:
![-\frac{c}{b}= -\frac{-3}{1}=-(-3)=3](https://tex.z-dn.net/?f=-%5Cfrac%7Bc%7D%7Bb%7D%3D%20-%5Cfrac%7B-3%7D%7B1%7D%3D-%28-3%29%3D3)
- Midline:
![d=Max-a=4-4.6=-0.6](https://tex.z-dn.net/?f=d%3DMax-a%3D4-4.6%3D-0.6)
<u>Final equation</u>
<u />![f(x)=4.6cos(x+3)-0.6](https://tex.z-dn.net/?f=f%28x%29%3D4.6cos%28x%2B3%29-0.6)
(n+2)/4=7 multiply both sides by 4
n+2=28 subtract 2 from both sides
n=26
The answer is 2,666.66666
Place value of 4 is 4/100