All categories

3 years ago

Factor the expression 100w^2x^2-64y^2z^2

1 answer:

6 0

Notice that this is the difference of 2 squares

a^2 - b^2 = (a + b)(a - b)

Here we have a^2 = 100w^2x^2 and b^2 = 64y^2z^2

so a = 10wx and b = 8yz and the factors are

(10wx + 8yz)(10wx - 8yz)

You might be interested in

In a certain year, when she was a high school senior, Idonna scored 671 on the mathematics part of the SAT. The distribution of

goldfiish [28.3K]

Answer:

Idonna's standardized score is 1.41.

Jonathan's standardized score is 0.55.

A.) Idonna's score is higher than Jonathan's

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Idonna scored 671 on the mathematics part of the SAT. The distribution of SAT math scores in that year was Normal with mean 509 and standard deviation 115.

This means that her standardized score is Z when $X = 671, \mu = 509, \sigma = 115$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{671 - 509}{115}$

$Z = 1.41$

Idonna's standardized score is 1.41.

Jonathan took the ACT and scored 24 on the mathematics portion. ACT math scores for the same year were Normally distributed with mean 21.1 and standard deviation 5.3 .

This means that his standardized score is Z when $X = 24, \mu = 21.1, \sigma = 5.3$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{24 - 21.1}{5.3}$

$Z = 0.55$

Jonathan's standardized score is 0.55.

Due to the higher z-score, Iddona's has a higher score.

5 0

2 years ago

Matt and Ming are selling fruit for a school fundraiser. Customers can buy small boxes and large boxes of apples. Matt sold 5 sm

BartSMP [9]

Mind helping me on this? brainly.com/question/23506969 thanks!

7 0

2 years ago

A second-hand car costs $2400. The price falls by 25% when it is sold again. How much is it sold for?

nlexa [21]

Answer:

1,800$

Step-by-step explanation:

25% is 1/4th of the total amount. So...

Divide 2,400$ by 4 and get 600

Now, subtract 600 from 2,400.

Note:

Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.

<em>-kiniwih426</em>

8 0

2 years ago

Let Upper A equals left bracket Start 2 By 2 Matrix 1st Row 1st Column negative 2 2nd Column 4 2nd Row 1st Column 1 2nd Column 3

Anastaziya [24]

Answer:

See explanation

Step-by-step explanation:

Given:

$A=\left[\begin{array}{cc}-2&4\\1&3\end{array}\right]$

$B=\left[\begin{array}{cc}-2&1\\3&7\end{array}\right]$

A. Find AB:

$AB=\left[\begin{array}{cc}-2&4\\1&3\end{array}\right]\cdot \left[\begin{array}{cc}-2&1\\3&7\end{array}\right]=\left[\begin{array}{cc}-2\cdot (-2)+4\cdot 3&-2\cdot 1+4\cdot 7\\1\cdot (-2)+3\cdot 3&1\cdot 1+3\cdot 7\end{array}\right]=\left[\begin{array}{cc}16&26\\7&22\end{array}\right]$

B. Find BA:

$BA=\left[\begin{array}{cc}-2&1\\3&7\end{array}\right]\cdot \left[\begin{array}{cc}-2&4\\1&3\end{array}\right]=\left[\begin{array}{cc}-2\cdot (-2)+1\cdot 1&-2\cdot 4+1\cdot 3\\3\cdot (-2)+7\cdot 1&3\cdot 4+7\cdot 3\end{array}\right]=\left[\begin{array}{cc}5&-5\\1&33\end{array}\right]$

C. Answers are not the same

D. Matrices multiplication is not commutastive in general, so

$AB\neq BA$

7 0

3 years ago

4(2x+7)-3(x-1) binomial in simplest form

Marysya12 [62]

(8x+28)-(3x-2)
combine the variables and numbers.
5x+30

7 0

2 years ago

Read 2 more answers