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Nady [450]
3 years ago
14

SOLVE 3/4 +(1/3/1/6) -(1/2)

Mathematics
1 answer:
jarptica [38.1K]3 years ago
8 0

Answer:9/4

Step-by-step explanation:

3/4 + (1/3/1/6) - (1/2)

3/4 + (1/3 ➗ 1/6) - 1/2

3/4 + (1/3 x 6/1) - 1/2

3/4 + ((1x6)/(3x1)) - 1/2

3/4 + (6/3) - 1/2

3/4 + 2 - 1/2

(3+8-2)/4

9/4

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What is the partial fraction decomposition of StartFraction 8 x + 19 Over (x + 8) (x minus 1) EndFraction? StartFraction 3 Over
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The partial fraction decomposition is \frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}

<h3>How to determine the decomposition?</h3>

The fraction is given as:

\frac{8x + 19}{(x + 8)(x - 1)}

Split the fraction as follows:

\frac{8x + 19}{(x + 8)(x - 1)} = \frac{A}{x + 8} + \frac{B}{x - 1}

Take the LCM

\frac{8x + 19}{(x + 8)(x - 1)} = \frac{Ax -A + Bx + 8B}{(x + 8)(x -1)}

Cancel the common factors

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\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}

Hence, the partial fraction decomposition is \frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}

Read more about partial fraction at:

brainly.com/question/12783868

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