3 years ago

Write an expression that is equivalent to (3x-2)-x^2+2x+5), combing like terms

Mathematics

1 answer:

ss7ja [257]3 years ago

4 0

Answer:

-x^2+5x+3

Step-by-step explanation:

Remove unnecessary parenthesis.

3x-2-x^2+2x+5

Collect like terms.

5x+3-x^2

Use the commutative property to reorder the terms.

-x^2+5x+3

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Answer:

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Step-by-step explanation:

Given

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$x_2 = 60cm$

Required

The work done

First, we calculate the spring constant (k)

$F = kx_1$

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The work done using Hooke's law is:

$W =\int\limits^a_b {F(x)} \, dx$

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$W =\int\limits^{60}_{30} {15x} \, dx$

Rewrite as:

$W =15\int\limits^{60}_{30} {x} \, dx$

Integrate

$W =15 \frac{x^2}{2}|\limits^{60}_{30}$

This gives:

$W =15 *\frac{60^2 - 30^2}{2}$

$W =15 *\frac{2700}{2}$

$W =15 *1350$

$W =20250N-cm$

Convert to Nm

$W =\frac{20250Nm}{100}$

$W =202.50Nm$

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