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mixer [17]
3 years ago
7

Solve for x, -6x > 72

Mathematics
1 answer:
Vika [28.1K]3 years ago
7 0

Answer:

x < -12

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define</u>

-6x > 72

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Divide -6 on both sides:                    x < -12

Here we see that any value <em>x</em> smaller than -12 would work as a solution to the inequality.

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Parameterize the paths

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The work done by \vec F over each segment (call them C_1,\ldots,C_4) is

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\displaystyle\int_{C_3}\vec F\cdot\mathrm d\vec r_3=\int_0^2(\vec\imath+(24-12t)\,\vec\jmath+32\,\vec k)\cdot(-\vec\imath)\,\mathrm dr=-\int_0^2\mathrm dt=-2

\displaystyle\int_{C_4}\vec F\cdot\mathrm d\vec r_4=\int_0^1((1-t)^2\,\vec\imath+2(4-4t)^2\,\vec k)\cdot(-4\,\vec\jmath-\vec k)\,\mathrm dt=-2\int_0^1(4-4t)^2\,\mathrm dt=-\frac{32}3

Then the total work done by \vec F over the particle's path is 46.

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