3 years ago

Simplify. 4n + 12 + 7n

Mathematics

2 answers:

QveST [7]3 years ago

5 0

11n+12- combined like terms

34kurt3 years ago

5 0

11n + 12 combined like terms.

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2 years ago

You use 4 gallons of water on 30 plants in your garden at the rate how mush water will it take to water 45 plants

Lemur [1.5K]

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Step-by-step explanation:

4 gallons of water for 30 plants

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2 years ago

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svp [43]

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2 years ago

Find the derivative dy / dx for y = x^3 - 5x / x^2 - 1

soldier1979 [14.2K]

$Use\\\\\left(\dfrac{h(x)}{g(x)}\right)'=\dfrac{h'(x)g(x)-h(x)g'(x)}{[g(x)]^2}\\\\\text{We have}\\\\h(x)=x^3-5x\to h'(x)=3x^2-5\\\\g(x)=x^2-1\to g'(x)=2x\\\\f(x)=\dfrac{x^3-5x}{x^2-1}\to f'(x)=\left(\dfrac{x^3-5x}{x^2-1}\right)'\\\\=\dfrac{(x^3-5x)'(x^2-1)-(x^3-5x)(x^2-1)'}{(x^2-1)^2}\\\\=\dfrac{(3x^2-5)(x^2-1)-(x^3-5x)(2x)}{(3x^2-5)^2}\\\\=\dfrac{3x^4-3x^2-5x^2+5-2x^4+10x^2}{(x^2-1)^2}\\\\=\dfrac{x^4+2x^2+5}{(x^2-1)^2}\\\\Answer:\ \left(\dfrac{x^3-5x}{x^2-1}\right)'=\dfrac{x^4+2x^2+5}{(x^2-1)^2}$