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3 years ago

1. What does it mean to find the cube root of a number?

Mathematics

2 answers:

Goshia [24]3 years ago

4 0

Answer:

You multiply that number by the 3rd power

Step-by-step explanation:

oof

Alex3 years ago

3 0

You find three times that number.

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What is the quotient (125 – 8x3) ÷ (25 + 10x + 4x2)? –2x + 5 2x – 5 –2x – 5 2x + 5

juin [17]

ANSWER

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = - 2x+5$

EXPLANATION

We have been given the quotient,

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} }$
to simplify.

We need to rewrite the numerator as difference of two cubes.

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ {5}^{3} - ( {2x})^{3} }{ 25 + 10x + 4 {x}^{2} }$

We need to make use of the difference of cubes formula,

${a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )$

We now let,
$a = 5 \: and \: b = 2x$

Then the numerator becomes,

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ (5 - 2x)(25 + 5 (2x) + {(2x)}^{2}) }{ 25 + 10x + 4 {x}^{2} }$

This simplifies to,

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ (5 - 2x)(25 + 10x + 4 {x}^{2}) }{ 25 + 10x + 4 {x}^{2} }$

We cancel out common factors to obtain,

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = \frac{ (5 - 2x)}{ 1}$

$\frac{125 - 8 {x}^{3} }{ 25 + 10x + 4 {x}^{2} } = 5 - 2x$

8 0

3 years ago

Read 2 more answers

Which number sentence is NOT an inequality?

Nostrana [21]

Answer:

B. 14 (x-5) = 13

Step-by-step explanation:

Inequalities does not contain an equal sign. I hope this help, can't promise my answer is 100%. Good luck on your question.

6 0

3 years ago

Read 2 more answers

How much interest is gained if $250 is deposited in your bank account at the end of the year for each of the next 7 years? savin

PIT_PIT [208]

Compounded Interest after 7 years will be $744.50

3 0

3 years ago

The product of my number and twice my number is 98.What is half my number how you solved the problem

fomenos

Product means multiply. I will be representing your number with x

x * 2(x) = 98
2x^2 = 98
x^2 = 49
x = 7
your number is 7. half of your number is 3.5

3 0

3 years ago

On Tuesday afternoon at camp, Connor did archery and sailing before dinner. Archery started at 12:00 P.M. Connor spent 1 hour an

horsena [70]

Answer:

Sailing end at 3:15 AM

Step-by-step explanation:

Connor did archery and sailing before dinner (in that order).

He started at 12:00 PM

We know that:

In archery, Connor spent 1 hour and 15 minutes

In sailing, Connor spent 2 hours.

The total time spent is:

1 hour + 15 minutes + 2 hours

3 hours + 15 minutes.

Then sailing end 3 hours and 15 minutes after 12:00 pm = 0:00 am, this is:

3:15 AM

Sailing end at 3:15 AM

8 0

2 years ago