Answer:
x=15
Step-by-step explanation:
3(x-5)=30
First, you would distribute the three to the x and the negative five.
3x-15=30
Then you would add 15 to the 15 to cancel it and to the 30 to make it even.
3x-15=30
+15=+15=
3x=45
Finally, you would divide 3 into both sides, cancelling out the three and fiving you,
x=15
Hope this helped!
Answer:
17 loaves of bread/hour
Step-by-step explanation:
136/8= 17
The answer is 160. U multiply all. PUT ME AS BEST
Answer:
The function touches the damping factor
at x=
and x=![\frac{(4n-1)\pi}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%284n-1%29%5Cpi%7D%7B2%7D)
The x-intercept of f(x) is
at x=![n\pi](https://tex.z-dn.net/?f=n%5Cpi)
Step-by-step explanation:
Given function is f(x)=
and damping factor as y=
and y=
To find when function touches the damping factor:
For f(x)=
and y=![e^{-3x}](https://tex.z-dn.net/?f=e%5E%7B-3x%7D)
Equating the both the equation,
![e^{-3x} sin(x)=e^{-3x}](https://tex.z-dn.net/?f=e%5E%7B-3x%7D%20sin%28x%29%3De%5E%7B-3x%7D)
![sin(x)=1](https://tex.z-dn.net/?f=%20sin%28x%29%3D1)
x=![\frac{(4n-3)\pi}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%284n-3%29%5Cpi%7D%7B2%7D)
For f(x)=
and y=![(-1)e^{-3x}](https://tex.z-dn.net/?f=%28-1%29e%5E%7B-3x%7D)
Equating the both the equation,
![e^{-3x} sin(x)=(-1)e^{-3x}](https://tex.z-dn.net/?f=e%5E%7B-3x%7D%20sin%28x%29%3D%28-1%29e%5E%7B-3x%7D)
![sin(x)=(-1)](https://tex.z-dn.net/?f=%20sin%28x%29%3D%28-1%29)
x=![\frac{(4n-1)\pi}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%284n-1%29%5Cpi%7D%7B2%7D)
Therefore, The function touches the damping factor x=
and x=![\frac{(4n-1)\pi}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%284n-1%29%5Cpi%7D%7B2%7D)
To find x-intercept of f(x):
For x-intercept, y=0
f(x)=![e^{-3x} sin(x)](https://tex.z-dn.net/?f=e%5E%7B-3x%7D%20sin%28x%29)
y=![e^{-3x} sin(x)](https://tex.z-dn.net/?f=e%5E%7B-3x%7D%20sin%28x%29)
![e^{-3x} sin(x)=0](https://tex.z-dn.net/?f=e%5E%7B-3x%7D%20sin%28x%29%3D0)
Hence,
is always greater than zero.
Therefore,![sin(x)=0](https://tex.z-dn.net/?f=sin%28x%29%3D0)
x=![n\pi](https://tex.z-dn.net/?f=n%5Cpi)
Thus,
The x-intercept of f(x) is at x=![n\pi](https://tex.z-dn.net/?f=n%5Cpi)
Answer:
5 81/100
Step-by-step explanation: