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Anna35 [415]
3 years ago
11

Write a linear function f with f(4)=-3 and f(0)=-2

Mathematics
1 answer:
tiny-mole [99]3 years ago
3 0
Sorry if it’s the wrong answer

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4/3x - 1/2 = 0   Given
4/3x = 1/2   Add 1/2 to both sides
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It is important when doing equations like these to remember that you need to multiply by the reciprocal of the fraction, not divide by it. For example, if another you have 1/2x = 1, you need to multiply by 2/1 or 2, not divide by 1/2.
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What is the mean, median, and mode of 310,540,820,700,650,490,770,380?
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3 years ago
Split <img src="https://tex.z-dn.net/?f=%284ax-a%5E2%29%2F%28x%5E2%2Bax-2a%5E2%29" id="TexFormula1" title="(4ax-a^2)/(x^2+ax-2a^
IRISSAK [1]

The decomposition of the partial fraction is \frac{4ax-a^2}{(x+ 2a)(x-a)} = \frac{A}{x + 2a} + \frac{B}{x - a}

<h3>How to split the fraction?</h3>

The expression is given as:

\frac{4ax-a^2}{x^2+ax-2a^2}

Expand the denominator

\frac{4ax-a^2}{x^2- ax+2ax-2a^2}

Factorize

\frac{4ax-a^2}{x(x- a)+2a(x-a)}

Factor out x - a

\frac{4ax-a^2}{(x+ 2a)(x-a)}

The denominator of the partial fraction is a product of two linear factors.

So, the decomposition can be represented as:

\frac{4ax-a^2}{(x+ 2a)(x-a)} = \frac{A}{x + 2a} + \frac{B}{x - a}

Read more about partial fractions at:

brainly.com/question/18958301

#SPJ1

8 0
2 years ago
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