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algol [13]
3 years ago
15

-(5-3)squareof2+(8)-(-2)-3[(4)+(-1)squareof2

Mathematics
1 answer:
Dovator [93]3 years ago
8 0

-(5-3)² + (8) - (-2) - 3 [4 + (-1)²]

Remember to follow PEMDAS

Simplify

5 - 3 = 2

2² = 4

-4 + 8 - (-2) - 3[4 + (-1)²]

Note that two negatives = 1 positive. Simplify

4 + 2 - 3[4 + (-1)²]

-1² = -1 x -1 = 1

4 + 2 - 3(4 + 1)

4 + 2 - 3(5)

6 - 15

-9

-9 is your answer

hope this helps

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Correct answer is D.

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Which word best describes the slope of the line?
kramer

Answer:

B

Step-by-step explanation:

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What is the simplified form of the following expression?
USPshnik [31]

Option C:

$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}

Solution:

Given expression is

$\sqrt[3]{\frac{4 x}{5}}

Note: \sqrt[3]{125}=\sqrt[3]{{5^3}}  = 5

To find the correct expression for the above simplified expression.

Option A: \frac{\sqrt[3]{4 x}}{5}

5 can be written as \sqrt[3]{125}.

$\frac{\sqrt[3]{4 x}}{5}=\frac{\sqrt[3]{4 x}}{\sqrt[3]{125} }

       $=\sqrt[3]{\frac{4x}{125} }

It is not the given simplified expression.

Option B: \frac{\sqrt[3]{20 x}}{5}

$\frac{\sqrt[3]{20 x}}{5}=\frac{\sqrt[3]{20 x}}{\sqrt[3]{125} }

         $=\sqrt[3]{\frac{20x}{125} }

Cancel the common factor in both numerator and denominator.

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It is not the given simplified expression.

Option C: \frac{\sqrt[3]{100 x}}{5}

$\frac{\sqrt[3]{100 x}}{5}=\frac{\sqrt[3]{100 x}}{\sqrt[3]{125} }

           $=\sqrt[3]{\frac{100x}{125} }

Cancel the common factor in both numerator and denominator.

           $=\sqrt[3]{\frac{4 x}{5}}

It is the given simplified expression.

Option D: \frac{\sqrt[3]{100 x}}{125}

$\frac{\sqrt[3]{100 x}}{125}=\frac{\sqrt[3]{100 x}}{5^3}

It is not the given simplified expression.

Hence Option C is the correct answer.

$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}

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