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3 years ago

Perform the indicated operation. x^2-y^2/3x * 3y/x+y

Mathematics

1 answer:

Aneli [31]3 years ago

3 0

Answer:

xy-y^2/x

Step-by-step explanation:

you factor the expression and reduce the gcf 3:

(x-y)*(x+y)/x *y/x+y

reduce the expression with x+y:

x-y/x*y

calculate the product:

y*(x-y)/x

remove parenthesis:

xy-y^2/x

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The domain and f^1(x)

TEA [102]

To solve for the inverse, just swap the x and y and solve for the new y.

$y=\sqrt{x} -8$

$x=\sqrt{y}-8$

$x+8=\sqrt{y}$

$(x+8)^2=y$

Then inspect both functions for the domain.

In the original function, x has to be greater than or equal to 0 or else you would have a negative square root which is impossible.

The inverse function has no limitations as any x could make that true.

The main things that will limit domain is square root of negative or divide by zero.

Therefore, x>=0 is the only domain restriction.

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2 years ago

Simplify. 24÷(–8–(–4))<br> a. –6<br> b. –2<br> c. 2<br> d. 6

yawa3891 [41]

(by order of operation, you do the parantheses first)

24÷(–8–(–4)) [-8-(-4) = -8+4 = -4)

24÷–4

- 6

The answer is A. -6

7 0

3 years ago

Read 2 more answers

How to round o.175 thousands

Sliva [168]

It has a bunch of zeroes after the five so it is rounded unless you want to go to .18

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3 years ago

A chemist mixes a 10% hydrogen peroxide solution with a 25% hydrogen peroxide solution to create 30 liters of a 15% hydrogen per

FromTheMoon [43]

Your two equations are at the top, in the box is what each variable represents. Below the box is total liters of the 15%, which is going to equal the total liters for 10% plus the total liters for 25%. Make your percentages into decimals. There’s a total of 30 liters so, x+y needs to equal 30. Isolate a variable, I chose y, you can do either or (isolating x would be more math). Y is going to equal 30-x, substitute that for the Y in the second equation, then you need to distribute 0.25 into 30-x. Then it’s simple math, subtract 7.50 from both sides, add like gets, divide both sides by -0.15, making x=20.

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2 years ago

Ricky has 3/4 of a bag of Skittles. He wants to split the rest between between his 5 friends. What fraction of the bag will each

Wittaler [7]

Answer:

3/20, with the assumptions below.

Explanation:

The question seems incomplete.

In order to show you the procedure, I make some assumptions.

Assuming that Ricky wants to split the full content of the 3/4 of a bag between his 5 friends, to find what fraction of the bag will each friend receive you must divide 3/4 by 5.

The operation is:

$\dfrac{3}{4}\div 5$

Convert the whole number 5 into fraction using 1 as denominator:

$\dfrac{3}{4}\div \dfrac{5}{1}$

Transform the division into multiplication changing the divisor into its reciprocal:

$\dfrac{3}{4}\times \dfrac{1}{5}$

Multiply numerator with numerator and denominator with denominator:

$\dfrac{3\times 1}{4\times 5}=\dfrac{3}{20}\leftarrow answer$

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3 years ago