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sdas [7]
3 years ago
11

Solve using the distributed property -4(2x-5)=4

Mathematics
2 answers:
finlep [7]3 years ago
8 0
-4(2x-5)=4

-8x+20=4

-8x=4-20

-8x/-8= -16/-8

x=2
Scorpion4ik [409]3 years ago
7 0
First you multiply -4 times 2x=-8x.
Then you multiply -4 and -5=20
so -8x+20=4
You subtract 20 on outside of the equal sign.(Because if you do something on one side of the equal sign you have to do it to the other side.)
-8x=-16
then you divide -8 on both sides of the equal sign 
x=2
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Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.
Bas_tet [7]

Answer:

The function touches the damping factor

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Step-by-step explanation:

Given function is f(x)=e^{-3x} sin(x) and damping factor as y=e^{-3x} and y=(-1)e^{-3x}

To find when function touches the damping factor:

For f(x)=e^{-3x} sin(x) and y=e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=e^{-3x}

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For f(x)=e^{-3x} sin(x) and y=(-1)e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=(-1)e^{-3x}

sin(x)=(-1)

x=\frac{(4n-1)\pi}{2}

Therefore, The function touches the damping factor x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

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For x-intercept, y=0

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e^{-3x} sin(x)=0

Hence, e^{-3x} is always greater than zero.

Therefore,sin(x)=0

x=n\pi

Thus,

The x-intercept of f(x) is at x=n\pi

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