3 years ago

What is 5x-(x-2)>2x-4(x-8)

Mathematics

1 answer:

Dafna11 [192]3 years ago

3 0

Answer:

x > 5

Step-by-step explanation:

Step 1 :

Equation at the end of step 1 :

(4x + 2) - (2x - 4 • (x - 8)) > 0

Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

6x - 30 = 6 • (x - 5)

Equation at the end of step 3 :

6 • (x - 5) > 0

Step 4 :

4.1 Divide both sides by 6

Solve Basic Inequality :

4.2 Add 5 to both sides

x > 5

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When a particular mass-spring system is started by stretching the spring 3 cm, one complete oscillation takes 4 seconds.

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Answer:

A. 5.16 s.

B. 5.66 s.

Step-by-step explanation:

For a simple harmonic motion,

T = 2pi (sqrt * (l/g))

Given:

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T2 = ?

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g = 7.4

At, L2,

T2 = 2pi*sqrt(5/7.4)

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M1 = M1

M2 = 2*M1

For a simple harmonic motion,

T = 2pi (sqrt * (m/k))

4 = 2pi (sqrt * (M1/k))

M1/k = 0.405

Inputting the above values,

T2 = 2pi (sqrt * (2*M1/k))

= 2pi (sqrt * (2 * 0.405))

= 5.66 s.

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Answer:

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