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antoniya [11.8K]
3 years ago
5

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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10) Solve using any method<br> 10x+2y=42<br> 5x+y=20
KIM [24]

Answer:

no solutions

Step-by-step explanation:

10x+2y=42

5x+y=20

Multiply the second equation by -2 to use elimination

-2(5x+y)=20*-2

-10x -2y = -40

Add this to the first equation

10x+2y=42

-10x -2y = -40

--------------------------

0 = 2

This is never true.  This means there are no solutions

3 0
3 years ago
Read 2 more answers
There are eight shirts in your closet, three blue, two are black, one is green, and two are white. You randomly select one to we
Maru [420]

The probability of wearing blue shirts on both days is 3/28.

<h3>What is probability?</h3>

Probability is the measure of the likelihood of an occurrence.

Given:

8 shirts are available out of which 3 are blue, 1 is green and 2 are white.

P(blue on Monday) = 3/8

Now, 7 shirts are left to wear on Tuesday

P(blue on Tuesday) =2/7

So,

the probability of wearing blue shirts on both days = 3/8 * 2/7 = 3/28

Learn more about probability here:

brainly.com/question/24756209

#SPJ1

4 0
2 years ago
Ava bought a rectangular rug for her hallway. The rug is 23 yards wide and 234 yards long.
Nookie1986 [14]

Answer:

1 5/6

Step-by-step explanation:

4 0
3 years ago
The top row of seats behind home plate at Cincinnati’s Great American Ball Park is 90 ft above the level of the playing field. T
Serggg [28]

Using the slope concept, it is found that the base of the left field wall is 361 feet from a point on level ground directly below the top row.

<h3>What is a slope?</h3>
  • The slope is given by the <u>vertical change divided by the horizontal change.</u>
  • It's also the tangent of the angle of depression.

In this problem:

  • The vertical change is of 90 ft.
  • The horizontal change is of x.
  • The angle of depression is of 14º.

Hence:

\tan{14^{\circ}} = \frac{90}{x}

0.249328 = \frac{90}{x}

0.249328x = 90

x = \frac{90}{0.249328}

x = 361

Hence, the base of the left field wall is 361 feet from a point on level ground directly below the top row.

You can learn more about the slope concept at brainly.com/question/18090623

4 0
2 years ago
A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per secon
ruslelena [56]
The equation for height as a function of time can be written as
.. h(t) = -16t^2 +110t +2
.. = -16(t^2 -55/8t) +2
.. = -16(t^2 -55/8t +(55/16)^2) +2 +55^2/16 . . . . . complete the square
.. = -16(t -55/16)^2 +191 1/16 . . . . . . . . . . . . . . . . . . vertex form

The maximum height the ball will reach is 191 1/16 feet.
7 0
3 years ago
Read 2 more answers
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