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3 years ago

Help plssssssss, thank you

Mathematics

1 answer:

IRINA_888 [86]3 years ago

6 0

Answer:

x = 14

Step-by-step explanation:

Given

- $\frac{1}{5}$ (x - 4) = - 2

Multiply both sides by 5 to eliminate the fraction

- (x - 4) = - 10 ← distribute parenthesis by - 1

- x + 4 = - 10 ( subtract 4 from both sides )

- x = - 14 ( multiply both sides by - 1 )

x = 14

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3 years ago

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Answer:

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Step-by-step explanation:

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The difference of the expression $\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}$ is $\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}$

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

The expression is given as:

$\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}$

Factor the denominators of the expressions:

$\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x^2 - 9)}$

Apply the difference of two squares to x² - 9

$\frac{2x^5}{x(x - 3)} - \frac{3x^5}{x(x - 3)(x + 3)}$

Take LCM

$\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}$

Hence, the difference of the expression $\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}$ is $\frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}$

Read more about expressions at:

brainly.com/question/723406

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2 years ago

What property was used on 14k + 2 (3k+5) -5 = 10 to obtain 14k + 6k +10 - 5 =10

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$\boxed{\text{The distributive property}}\\\\\text{In order to solve the equation, you would have to first use the }\\\text{distributive property:}\\\\14k + 2 (3k+5) -5 = 10\\\\\text{Distribute the 2 to the variables inside the parenthesis}\\\\14k+6k+10-5=10\\\\\text{You can see that your outcome matches the equation in the question}\\\\\text{Therefore, the distributive property would be your answer}$

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