All categories

3 years ago

Simplify the expression below (assuming x and y are non-zero numbers).

Mathematics

1 answer:

Yuri [45]3 years ago

4 0

Answer: Option 2

Step-by-step explanation:

$\frac{15x^4y^-^2}{3x^2y^3}$

Divide 15 by 3 and substract the variables's exponents.

$5x^4^-^2y^-^2^-^3$

Solve;

$5x^2y^-^5$

$\frac{5x^2}{y^5}$

You might be interested in

You repay a bank $480 in three months for a loan. What are your monthly payments to the bank?

insens350 [35]

Answer:

160 dollars per month

Step-by-step explanation:

Well you know the total amount paid is 480 dollars and payments are made once a month for three months.

Divide 480 by three to find the amount paid per month

480/3=160

160 dollars per month

7 0

3 years ago

PLEASE HELP VERY URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

diamong [38]

Q1. Look at the picture.

$C.\\y=-\dfrac{1}{3}x+3\\\\y=2x-4$

Q2. Look at the picture.

$A.\ 4-t$

Q3.

Put the value of x = 2 to the equation 3x + y = 5:

$3(2)+y=5$

$6+y=5$ subtract 6 from both sides

$y=-1\\\\F.\ -1$

Q4.

$\left\{\begin{array}{ccc}n=3m-11&(*)\\2m+3n=0&(**)\end{array}\right$

Substitute (*) to (**):

$2m+3(3m-11)=0$ use distributive property

$2m+(3)(3m)+(3)(-11)=0$

$2m+9m-33=0$ add 33 to both sides

$11m=33$ divide both sides by 11

$m=3$

Put the value of m to (*):

$n=3(3)-11\\\\n=9-11\\\\n=-2$

$C. (3,\ -2)$

Q5.

w - width

3w - length

24 in - the sum of length and width

The equation:

$w+3w=24$

$4w=24$ divide both sides by 4

$w=6\ in$

$3w=3(6)=18\ in$

$J.\ 18\ inches$

7 0

2 years ago

Read 2 more answers

A personal balance sheet

Bingel [31]

A personal balance sheet provides an overall snapshot of your wealth at a specific period in time. It is a summary of your assets (what you own), your liabilities (what you owe) and your net worth (assets minus liabilities).

8 0

2 years ago

A sample was taken of the salaries of four employees from a large company. the following are their salaries, in thousands of dol

Free_Kalibri [48]

For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

The formula for the variance is,

$S^2=\frac{\sum (x_i - \bar{x})^2}{n-1}$

where,

$S^2$ = sample variance

$x_i$ = the value of the one observation

$\bar{x}$ = the mean value of all observations

n = the number of observations

For given question,

n = 4

First we find the mean of their salaries.

(33 + 31 + 24 + 36 ) / 4 = 31

So, $\bar{x}=31$

Using the formula for variance ,

$S^2=\frac{(33-31)^2}{4-1}+\frac{(31-31)^2}{4-1}+\frac{(24-31)^2}{4-1}+\frac{(36-31)^2}{4-1}\\\\ S^2=\frac{4}{3} + \frac{0}{3} + \frac{49}{3} + \frac{25}{3} \\\\S^2= \frac{4+49+25}{3}\\\\S^2=\frac{78}{3} \\\\S^2=26$