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3 years ago

“One third of a number is 12 less than the number itself”

1 answer:

8 0

let 'N' be a substitute for a number example 1/3(n)=n-12 then now we can multiply by 3 so we can get it n=3n-36 now get n onto the same side of the equation so we get 2n=36.after that divide by 2 we get n=18.

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What two rational expressions sum to <img src="https://tex.z-dn.net/?f=%5Cfrac%7B4x%2B2%7D%7Bx%5E%7B2%7D-9%2B8%20%7D" id="TexFor

bulgar [2K]

Answer:

$\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}$

Step-by-step explanation:

Given

$\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}$

Required

Fill in the gaps

Going by the given parameters, we have that

$\frac{4x+2}{x^{2}-9+8 } = \frac{A}{()(x-1)} + \frac{B}{()(x-8)}$

$x^2 - 9x + 8$ , when factorized is $(x-1)(x-8)$

Hence; the expression becomes

$\frac{4x+2}{(x-1)(x-8)} = \frac{A}{(x-8)(x-1)} + \frac{B}{(x-1)(x-8)}$

Combine Fractions

$\frac{4x+2}{(x-1)(x-8)} = \frac{A + B}{(x-8)(x-1)}$

Simplify the denominators

$4x + 2 = A + B$

By direct comparison

$A = 4x$

$B = 2$

Hence, the complete expression is

$\frac{4x+2}{x^2 - 9x + 8} = \frac{4x}{(x-8)(x-1)} + \frac{2}{(x-8)(x-1)}$

3 0

3 years ago

Read 2 more answers

What is the solution 5x-15=-25

IRISSAK [1]

Answer:

x= -2

Step-by-step explanation:

MARK AS BRAINLIEST!!

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2 years ago

−4x+7y=20 y=3x+15 Solve the system of equations.

Dmitry_Shevchenko [17]

Answer:

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3 years ago

Luke earned a salary of 48,048 last year. how much did he earn per month?

viktelen [127]

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