All categories

3 years ago

For all positive integers x ,what is the greatest common factor of the numbers 256x and 144x

1 answer:

4 0

First, let's factor both of these numbers.

256x:

$2^{8} * x$

144x:

$3^{2} * 2^{4} * x$

Both of these numbers contain $2^{4} * x$ , so that would be the greatest common factor. This could also be written as 16x.

You might be interested in

What is the estimate of 32034

PSYCHO15rus [73]

The estimate is 32,000.

7 0

3 years ago

What is the slope of the two points (-2,7) and (4,-8)

labwork [276]

Answer:

-15/6

Step-by-step explanation:

If you look at the first number in each point, the x coordinate, you see the 2nd point is 6 forward from the 1st point. Now the 2nd number is the y coordinate, and you can see it goes down 15 from the 1st coordinate. So y/x is the slope.

4 0

3 years ago

Read 2 more answers

Write an equation for a translation 7 units down of y=|x|.

Yanka [14]

Answer:

y=|x|-7

Step-by-step explanation:

When looking at an equation like so the number will stay the same but what changes is the adding or subtracting symbol.

+ = Up(Positive)

- = Down(Negative

5 0

2 years ago

Read 2 more answers

Need help pls<br>thank you in advance

ira [324]

Answer:

<u />

$\textsf{Mean}\:\overline{X}=\sf \dfrac{\textsf{sum of all the data values}}{\textsf{total number of data values}}$

$\implies \sf Mean\:(Nilo)=\dfrac{5+6+14+15}{4}=\dfrac{40}{4}=10$

$\implies \sf Mean\:(Lisa)=\dfrac{8+9+11+12}{4}=\dfrac{40}{4}=10$

<h3><u>Standard Deviation</u></h3>

$\displaystyle \textsf{Standard Deviation }s=\sqrt{\dfrac{\sum X^2-\dfrac{(\sum X)^2}{n}}{n-1}}$

$\begin{aligned}\displaystyle \textsf{Standard Deviation (Nilo)} & =\sqrt{\dfrac{(5^2+6^2+14^2+15^2)-\dfrac{(5+6+14+15)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{482-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{82}{3}}\\\\& = 5.23\end{aligned}$

$\begin{aligned}\displaystyle \textsf{Standard Deviation (Lisa)} & =\sqrt{\dfrac{(8^2+9^2+11^2+12^2)-\dfrac{(8+9+11+12)^2}{4}}{4-1}}\\\\& = \sqrt{\dfrac{410-\dfrac{40^2}{4}}{3}}\\\\& = \sqrt{\dfrac{10}{3}}\\\\& = 1.83\end{aligned}$

<h3><u>Summary</u></h3>

Nilo has a mean score of 10 and a standard deviation of 5.23.

Lisa has a mean score of 10 and a standard deviation of 1.83.

The <u>mean</u> scores are the <u>same</u>.

Nilo's standard deviation is higher than Lisa's. Therefore, Nilo's test scores are more <u>spread out</u> that Lisa's, which means Lisa's test scores are more <u>consistent</u>.

5 0

1 year ago

H(t)=480t-16t^2<br><br> solve for t <br><br> PLEASE SHOW WORK

Andru [333]

Answer:

x = √30 or -√30

Step-by-step explanation:

480 - 16x^2 = 0

divide both sides by 16

30 - x^2 = 0

-x^2 + 30 = 0

-x^2 = -30

X^2 = 30

x = ± √30

x = √30 or -√30

7 0

3 years ago