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g100num [7]
3 years ago
14

What is the completely factored form of x^3 – 64x?

Mathematics
1 answer:
givi [52]3 years ago
4 0
x^3 - 64x \\ \\ gcf = x \\ \\ x( \frac{x^3}{x} +  \frac{-64x}{x} ) \\ \\ x(x^2 - 64) \\ \\ x(x^2 - 8^2) \\ \\ x(x + 8)(x - 8) \\ \\

The final result is: C) x(x - 8)(x + 8).
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A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 48 specimens and counts the number of
baherus [9]

Answer: The open interval would be (31.4,42.5).

Step-by-step explanation:

Since we have given that

mean = 36.9

Standard deviation = 16.5

n = 48

At 98% confidence interval, z = 2.33

So, Interval would be

\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=36.9\pm 2.33\dfrac{16.5}{\sqrt{48}}\\\\=36.9\pm 5.549\\\\=(36.9-5.5,36.9+5.6\\\\=(31.4,42.5)

Hence, the open interval would be (31.4,42.5).

5 0
3 years ago
Whats the inequality c−12>−4
marshall27 [118]

Answer:

c>16

Step-by-step explanation:

c-12>4

c> 4+12

c> 16

8 0
3 years ago
Someone help me answer this and show work please!
timurjin [86]

Answer:

Simple

Rise/Run

for one week they run 10 miles

2 weeks 20 miles

3 weeks 30 miles

4 weeks 40 miles

the rate of change would be 10/1 (Why? Because you rise +10 each time per week.)

divide that it would be 10 (:

gOoD lUCk

second answer copied me so.

7 0
3 years ago
Which point is a solution to the system of linear equations?
Sloan [31]

The ordered pair which is a solution to the system of linear equations is: A. (3, 0).

<h3>How to determine the solution?</h3>

In order to determine a solution to the system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;

For ordered pair (3, 0), we have:

y = −x + 3

0 = -3 + 3

0 = 0 (True).

2x − y = 6

2(3) - 0 = 6

6 - 0 = 6

6 = 6 (True).

For ordered pair (3, -1), we have:

y = −x + 3

-1 = -3 + 3

-1 = 0 (False).

For ordered pair (0, 3), we have:

y = −x + 3

3 = 0 + 3

3 = 3 (True).

2x − y = 6

2(0) - 3 = 6

0 - 3 = 6

-3 = 6 (False).

For ordered pair (-1, 3), we have:

y = −x + 3

3 = -1 + 3

3 = 2 (False).

Read more on ordered pairs here: brainly.com/question/12179097

#SPJ1

6 0
1 year ago
Find the location of the center of a circle if the endpoints of the diameter are at (-10,
Artyom0805 [142]

Answer:

(- 1, - \frac{1}{2} )

Step-by-step explanation:

The centre is located at the midpoint of the diameter.

Using the midpoint formula , then

centre = \frac{-10+8}{2}, \frac{-5+4}{2} ) = ( \frac{-2}{2}, \frac{-1}{2} ) = (- 1, - \frac{1}{2} )

7 0
3 years ago
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