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3 years ago

Solve each one variable equation.

Mathematics

1 answer:

uranmaximum [27]3 years ago

8 0

Answer:

See below in bold.

Step-by-step explanation:

a. |x| = 6

x = 6, -6.

b. |x − 5| = 4

x - 5 = 4

x = 9.

x - 5 = -4

x = 1.

c. 2|x + 3| = −10

No solution because |x + 3| is an absolute value so is always positive.

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Write the form of the partial fraction decomposition of the rational expression. Do not solve for the constants. 37 x2 − 6x

Dvinal [7]

Answer:

$\dfrac{A}{x}+\dfrac{B}{x-6}$

Step-by-step explanation:

Given the function $\dfrac{37}{x(x-6)}$ , to write the form of its partial fraction on decomposition, we will separate the two functions separated by an addition sign. The numerator of each function will be constants A and b and the denominator will be the individual factors of each function at the denominator. The partial fraction of the rational function is as shown below.

$= \dfrac{37}{x(x-6)}\\\\= \dfrac{A}{x}+\dfrac{B}{x-6}$

<em>Since we are not to solve for the constants, hence the partial fraction is </em> $\dfrac{A}{x}+\dfrac{B}{x-6}$

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