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Mkey [24]
4 years ago
10

PLEASE HELP. For a given input value v, the function f outputs a value u to satisfy the following equation.

Mathematics
1 answer:
andrey2020 [161]4 years ago
8 0

Answer:

u= -4v+9

Step-by-step explanation:

Let's solve for u.

u−5=−4(v−1)

Step 1: Add 5 to both sides.

u−5+5=−4v+4+5

u=−4v+9

Answer:

u=−4v+9

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\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Simplify ⇨ 1/x(x+a) + 1/x(x-a)

\large \boxed{\mathbb{ANSWER \: WITH \: EXPLANATION} \downarrow}

\sf\frac { 1 } { x ( x + a ) } + \frac { 1 } { x ( x - a ) } \\

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x\left(x+a\right) and x\left(x-a\right) is x\left(x+a\right)\left(x-a\right). Multiply \frac{1}{x\left(x+a\right)} times \frac{x-a}{x-a}. Multiply \frac{1}{x\left(x-a\right)} times \frac{x+a}{x+a}.

\sf\frac{x-a}{x\left(x+a\right)\left(x-a\right)}+\frac{x+a}{x\left(x+a\right)\left(x-a\right)}  \\

Because \frac{x-a}{x\left(x+a\right)\left(x-a\right)} and \frac{x+a}{x\left(x+a\right)\left(x-a\right)} have the same denominator, add them by adding their numerators.

\sf\frac{x-a+x+a}{x\left(x+a\right)\left(x-a\right)}  \\

Combine like terms in x-a+x+a.

\sf\frac{2x}{x\left(x+a\right)\left(x-a\right)}  \\

Cancel out x in both the numerator and denominator.

\sf\frac{2}{\left(x+a\right)\left(x-a\right)}  \\

Expand \left(x+a\right)\left(x-a\right).

\boxed{\boxed{ \bf\frac{2}{x^{2}-a^{2}}}}  \\

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3 years ago
Tyler is building a fish tank in the shape of a sphere that has a diameter of 20 inches. Based on Tyler's research, it is recomm
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Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

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Finally, we have to divide the volume of the fish tank by the volume that each goldfish needs.

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Feel free to ask for more if needed or if you did not understand something.

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