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3 years ago

Brainliest for anyone if they get this CORRECT.

Mathematics

2 answers:

ioda3 years ago

7 0

Answer:

D) x + 8

Step-by-step explanation:

factor. Find factors of x² & -48, in that, when combined, it will give 2x.

x² + 2x - 48

x -6

x 8

(x - 6)(x + 8)

Check. Follow FOIL method. Combine the first, outside, Inside, & Last terms:

(x * x) = x²

(x * 8) = 8x

(x * -6) = -6x

(-6 * 8) = -48

x² + 8x - 6x - 48

x² + 2x - 48 (√)

Your answer choices:

(x - 6) & (x + 8)

x + 8 shows up as a choice, so D) x + 8 is your answer.

steposvetlana [31]3 years ago

3 0

(x + 8)(x - 6)

to factorise consider the factors of - 48 which sum to + 2

These are + 8 and - 6 thus

x² + 2x - 48 = (x + 8)(x - 6)

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Step-by-step explanation:

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2 years ago

Rewrite the radical expression as an expression with a rational exponent. the seventh root of x to the third power

kherson [118]

The expression with a rational exponent of the seventh root of x to the third power is x to the three sevenths power ⇒ answer A

Step-by-step explanation:

Let us explain how to change the radical expression as an expression

with a rational exponent

1. Find the number of the root and make it the denominator of the

fraction exponent

2. Find the power of the term under the radical and make it the

numerator of the fraction exponent

Examples:

$\sqrt{x^{n}}=x^{\frac{n}{2}}$

$\sqrt[3]{x^{n}}=x^{\frac{n}{3}}$

$\sqrt[5]{x^{n}}=x^{\frac{n}{5}}$

So $\sqrt[m]{x^{n}}=x^{\frac{n}{m}}$

∵ the radical expression is the seventh root of x to the third power

∵ seventh root = $\sqrt[7]{}$

∵ x to the third power = x³

∴ seventh root of x to the third power = $\sqrt[7]{x^{3}}$

Let us change it to the rational exponent

∵ $\sqrt[m]{x^{n}}=x^{\frac{n}{m}}$

∵ $\sqrt[7]{x^{3}}$

∴ m = 7 and n = 3

∴ $\sqrt[7]{x^{3}}$ = $x^{\frac{3}{7}}$

∵ $x^{\frac{3}{7}}$ is x to the three sevenths power

∴ $\sqrt[7]{x^{3}}$ is x to the three sevenths power

The expression with a rational exponent of the seventh root of x to the third power is x to the three sevenths power

Learn more:

You can learn more about radical equation is brainly.com/question/7153188

#LearnwithBrainly

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