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r-ruslan [8.4K]
2 years ago
9

What does the following expression mean? 7! This is permutations.

Mathematics
1 answer:
nevsk [136]2 years ago
5 0
It’s 7x6x5x4x3x2x1
permutation is multiplying
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Step-by-step explanation:

-6x-2y+8

-6x -6x

÷-2 (-2y=-6x+8)

3x=-4

x= 3x

y= -4

y=-4-3x

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For 10 points, Which of the following containers is the most likely to have a capacity of 38 L?
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ki77a [65]

-31=3w+9-8w\\\\-5w+9=-31 \ \ /-9\\\\-5w=-40 \ \ /:(-5)\\\\\huge\boxed{w=8}

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Mkey [24]

\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}}}}  \\

3 0
3 years ago
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