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3 years ago

9

2(3n+4)-2(2n+5) simplified

2 answers:

bekas [8.4K]3 years ago

8 0

6n+8-4n-10
2n-2

=2n-2
hope it helps :)

defon3 years ago

3 0

Let's simplify step-by-step.<span><span>2<span>(<span><span>3n</span>+4</span>)</span></span>−<span>2<span>(<span><span>2n</span>+5</span>)</span></span></span>Distribute:<span>=<span><span><span><span><span>(2)</span><span>(<span>3n</span>)</span></span>+<span><span>(2)</span><span>(4)</span></span></span>+<span><span>(<span>−2</span>)</span><span>(<span>2n</span>)</span></span></span>+<span><span>(<span>−2</span>)</span><span>(5)</span></span></span></span><span>=<span><span><span><span><span><span>6n</span>+8</span>+</span>−<span>4n</span></span>+</span>−10</span></span>Combine Like Terms:<span>=<span><span><span><span>6n</span>+8</span>+<span>−<span>4n</span></span></span>+<span>−10</span></span></span><span>=<span><span>(<span><span>6n</span>+<span>−<span>4n</span></span></span>)</span>+<span>(<span>8+<span>−10</span></span>)</span></span></span><span>=<span><span>2n</span>+<span>−<span>2</span></span></span></span>

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3 years ago

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3 years ago

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3 years ago

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Fudgin [204]

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3 years ago

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Viktor [21]

<u><em>Answer:</em></u>

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2- The constant of variation is $\frac{4}{3}$

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When two variables are in direct variation, this means that when one of them increases, the other increases and vice versa

<u>A direct variation relation is represented as follows:</u>

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Now, to get the constant of variation, all we have to do is substitute with the given x and y variables and solve for k

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<u>2- $y = 4\ when\ x=3$ </u>

<u>Therefore:</u>

$y = kx\\ 4 = 3k\\ k = \frac{4}{3}$

Hope this helps :)

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3 years ago