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Alexandra [31]
3 years ago
14

Solve. −24 − 4(x + 2) = 4x

Mathematics
2 answers:
KengaRu [80]3 years ago
6 0
-24 -4x -8= 4x
-24 - 8= 4x+4x
-32=8x
-32/8 =8x/8
-4 = x
aliina [53]3 years ago
4 0
-24 - 4(x + 2) = 4x   Use the Distributive Property
   -24 - 4x - 8 = 4x   Combine like terms (-24 and -8)
        -32 - 4x = 4x   Add 4x to both sides
               -32 = 8x   Divide both sides by 8
                 -4 = x      Switch the sides to make it easier to read
                   x = -4
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Answer:

The equation that represents the motion of the string is given by:

y =Ae^{-kt}\cos(2\pi ft)     .....[1] where t represents the time in second.

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Substitute the given values in [1] we get;

y =0.6e^{-1.8t}\cos(2\pi 105t)  

or

y =0.6e^{-1.8t}\cos(210\pi t)  

(a)

The trigonometric function that models the motion of the string is given by:

y =0.6e^{-1.8t}\cos(210\pi t)

(b)

Determine the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24

Using graphing calculator for the equation

y =0.6e^{-1.8x}\cos(210\pi x)

let x = t (time in sec)  

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that -0.24\leq y \leq0.24 is, 0.5 sec


4 0
3 years ago
What multiplys to -90 and adds to 9?
vagabundo [1.1K]
The answer would be 3
3 0
3 years ago
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