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MaRussiya [10]
3 years ago
13

Solve the inequality Show your work-5/2(3x+4)<6-3x

Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0

Answer:

The answer to your question is:   x > - 32/9

Step-by-step explanation:

                                            -5/2(3x+4)<6-3x

Multiply by 2                      -5(3x + 4) < 12 - 6x

Simplify                             -15x - 20 < 12 - 6x

Add +6x                            -15x + 6x -20 < 12 - 6x + 6x

Simplify                            - 9x - 20 < 12

Add + 20                          -9x -20 + 20 < 12 + 20

Simplify                            -9x  <  32

Divide by -9                     -9/-9 x > 32/-9

Simplify                             x > - 32/9

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R = 230 m
v = 17 m/s

Formula: |Ac| = v^2 / r

Point A

|Ac| = v^2 / r = (17m/s)^2 / (230m) = 1.257 m/s^2

Components:

cos(25) = - [ x-component / |Ac| ] => x-component = -|Ac|*cos(25)
sin(25)  = - [y-component / |Ac| ] => y-component = - |Ac|*sin(25)

x-component = - 1.256 * cos(25) m/s^2 = - 1.139 m/s^2
y-component =  -1.256 * sin (25) m/s^2 = - 0.531 m/s^2

Point B

|Ac| = 1.256

x-component = - 1.256 cos(58) = - 0.666 m/s^2
y-component = + 1.256 sin(58) = + 1.065 m/s^2

 

 
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