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igomit [66]
3 years ago
6

What expressions are equivalent to -3.5(2-3n)-2.5n?

Mathematics
1 answer:
docker41 [41]3 years ago
6 0
<span><span>−<span>3.5<span>(<span>2−<span>3n</span></span>)</span></span></span>−<span>2.5n</span></span>Distribute:<span>=<span><span><span><span><span>(<span>−3.5</span>)</span><span>(2)</span></span>+<span><span>(<span>−3.5</span>)</span><span>(<span>−<span>3n</span></span>)</span></span></span>+</span>−<span>2.5n</span></span></span><span>=<span><span><span><span>−7</span>+<span>10.5n</span></span>+</span>−<span>2.5n</span></span></span>Combine Like Terms:<span>=<span><span><span>−7</span>+<span>10.5n</span></span>+<span>−<span>2.5n</span></span></span></span><span>=<span><span>(<span><span>10.5n</span>+<span>−<span>2.5n</span></span></span>)</span>+<span>(<span>−7</span>)</span></span></span><span>=<span><span>8n</span>+<span>−<span>7</span></span></span></span>
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Which of the following is the product of the rational expressions shown below? 7x/x-4•x/x+7
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<h2>The product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}</h2>

Step-by-step explanation:

We have,

\dfrac{7x}{x-4}.\dfrac{x}{x+7}

To find, the product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = ?

∴ \dfrac{7x}{x-4}.\dfrac{x}{x+7}

= \dfrac{7x.x}{(x-4)(x+7)}

= \dfrac{7x^2}{(x(x+7)-4(x+7)}

= \dfrac{7x^2}{x^2+7x-4x-28}

= \dfrac{7x^2}{x^2+3x-28}

Thus, the product of the rational expressions \dfrac{7x}{x-4}.\dfrac{x}{x+7} = \dfrac{7x^2}{x^2+3x-28}

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