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3 years ago

What is the answer to 8x^3+125 by factoring the perfect cube?

Mathematics

1 answer:

expeople1 [14]3 years ago

3 0

Answer:

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

Step-by-step explanation:

$8x^3+125=2^3x^3+5^3=(2x)^3+5^3\\\\\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+5)((2x)^2-(2x)(5)+5^2)\\\\=(2x+5)(4x^2-10x+25)$

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What are the solutions to 3x^2 = 8x — 6?

Bond [772]

Answer:

First, let's move all terms to one side,

$\sf x^2-8x+6=0$

When given this form (ax^2+bx+c=0), there will be two solutions at the end.

1) $\sf x=\frac{-b+\sqrt{b^2-4ab} }{2b}$

2) $\sf x=\frac{-b-\sqrt{b^2-4ab} }{2b}$

where, a=1, b=-8, c=6

$\sf x=\frac{8+\sqrt{(-8)^2-4\times6} }{2} ,\frac{8-\sqrt{(-8)^2-4\times6} }{2}$

Simplify,

$\sf x=\frac{8+2\sqrt{10} }{2} ,\frac{8-2\sqrt{10} }{2}$

Simplify,

$\sf x=4+\sqrt{10}, 4-\sqrt{10}$

Hope it helps!

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2 years ago

April jumps rope 1/3 hours each day how many minutes does April jump in a week?

timofeeve [1]

Answer:

140 minutes

Step-by-step explanation:

60/3 is 20.

20*7 is 140 minutes.

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3 years ago

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Penny divides 1 by 8 and that the quotient is 0.125. What is the quotient rounded to the nearest hundred

zheka24 [161]

The two is in the hundreth place
Look at the number next to it, it's a five. Five rounds 2 to 3.
Your answer is 0.13

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3 years ago

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ΔHAT is similar to ΔCAN.

LenKa [72]

In similar triangles, the ratios of corresponding sides are equal.

This means

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Cross multiply

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3 years ago

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Plz help. Simplifying simplify the answers

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1/9
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3 years ago

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