How to factor this problem?

What is the difference of the rational expressions below?

Stolb23 [73]

Answer: A

Step-by-step explanation:

We need to get the denominators to be same first before we can do anything to the numerator.

The LCD (lowest common denominator) is $3x^{3}$ . To find the LCD, multiply the denominators together: $x^{3}$ · $3x$ = $3x^{3$ .

Below, we are trying to get the denominators to equal the same or to $3x^{3}$ .

$\frac{3}{3} (\frac{4}{x^{3} } ) - \frac{x^{2} }{x^{2} } (\frac{2x-1}{3x} )$

$\frac{12}{3x^{3} } - \frac{2x^{3}-x^{2} }{3x^{3} }$

Now that the denominators are the same, we can subtract the numerators from each other.

$\frac{ 12 - (2x^{3} -x^{2})\\}{3x^{3} } \\$

$\frac{12-2x^{3} +x^{2} }{3x^{3} }$

Now, we can just reorganize the variables.

Answer: A or $\frac{-2x^{3} + x^{2}+12 }{3x^{3} }$

7 0

4 years ago

Simplify \sqrt{50} for maths please quick

Kryger [21]

Hello,

$\sqrt{50} = \sqrt{2 \times 25} = \sqrt{2 \times 5 {}^{2} } = 5 \sqrt{2}$

7 0

2 years ago

A random variable X has a mean of 10 and a standard deviation of 3. If 2 is added to each value of X, what will the new mean and

dlinn [17]

Answer:

New mean will be 12

And no change in standard deviation

Step-by-step explanation:

We know the relationship between the two mean and standard deviation

$\sigma=\frac{\sqrt{x-x_i}}^2{n}$

$\sigma=\text{standard deviation},x=mean,n=\text{number of observations}$

If we add 2 to each value of x that means the mean will become n will become 2n and since we are adding 2 to each value

The new mean will become 12

And there will be no change in the standard deviation because of equal change in the each data.

6 0

3 years ago

The U.S. federal government conducts a sampling survey of high school seniors concerning their plans for future education and em

VARVARA [1.3K]

Answer:

The correct answer is A. That fifty percent is a statistic.

Step-by-step explanation:

Statistics is the science that studies the collection of objective data from reality and its subsequent analysis for the extraction of specific information on the group from which the data were obtained. Thus, statistics obtains different samples (such as opinions, personal characteristics, etc.) of a certain group, and compares their results with the purpose of establishing objective parameters applicable to the entire society.

In this way, the fact that in a survey 50% of the respondents answer in a specific way constitutes a specific statistic regarding that sample, which can in turn be transferred to society as a whole.

5 0

3 years ago

I NEEDDD HELPPPP

Rashid [163]

Answer:

thshajvdhsuuwhwhhehehshdvvehwisbbdhsuwjbbgyausbgdhsbwvs

6 0

3 years ago