Simplify the expression: (in the image attached)

Simplify The Expression: (in The Image Attached)

Answers

Answer 1

Step-by-step explanation:

Hey there!

[tex]\tt{\dfrac{\dfrac{1}{x^2} + \dfrac{2}{y}}{\dfrac{5}{x} - \dfrac{6}{y^2}}}[/tex]

So, what we can do here is first take the Least Common Multiple here, on both Numerator and Denominator.

[tex]\tt{\dfrac{\dfrac{y + 2y^2 (1)}{x^2 y (2)}}{\dfrac{5y^2 - 6x (3) }{xy^2 (4)}}}[/tex]

[The number in brackets is for the next step :-

When we will further simplify it, we will multiply 1st with 4th and 2nd with 3rd.

[tex]\tt{\dfrac{y + 2y^2 \times xy^2 }{x^2 y \times 5y^2 - 6x }}[/tex]

[tex]\tt{\dfrac{y + 2y^2 \times y }{x \times 5y^2 - 6x }}[/tex] is the framed answer.

Answer 2

Answer:

[tex]\frac{y(y+2x^2)}{x(5y^2-6x}[/tex]

Step-by-step explanation:

Lets do the numerator and denominator seperately:

Numerator:

1/x^2 + 2/y

Find common denominator and add these 2 fractions:

This is x^2y (I just multiplied the 2 denominators together’

Now, do what you have done to x^2 to make it x^2y, ie. multiplied by y, to the 1. This = y

And do what you have done to y to make it x^2y, ie. multiplied by x^2, to the 2. This = [tex]2^{2}[/tex]

Now, arrange all numbers we have found into the correct order in the fraction. This is:

[tex]\frac{y+2x^{2}}{x^{2} y}[/tex]

Denominator:

5/x - 6/y^2

Find the common denominator  and subtract these two fractions:

This is xy^2

Now, do what you have done to x to make it xy^2, ie. multiply by y^2, to the 5. This = 5y^2

And do what you have done to the y^2 to make it xy^2, ie. multiply by x, to the 6, this is = 6x

Now, arrange all the numbers we have found into the correct order in the fraction

[tex]\frac{5y^{2}-6x}{xy^2}[/tex]

Now that we have the numerator and the denominator, we can solve the equation.

The original question asks us to divide the 2 fractions, so:

[tex]\frac{y+2x^{2}}{x^{2} y}[/tex]  divided by [tex]\frac{5y^{2}-6x}{xy^2}[/tex]

For the division of fractions, you just have to multiply the inverse of the 2nd fraction by the first, so

[tex]\frac{y+2x^{2}}{x^{2} y}[/tex] x [tex]\frac{xy^2}{5y^2-6x}[/tex]

Use cross multiplication to simplify the above expression to:

[tex]\frac{y(y+2x^2)}{x(5y^2-6x}[/tex]

Hope this helps, sorry its long ...


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Answers

Answer:

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Step-by-step explanation:

The cost of 6 CDs are $12, $13, $20, $20, $12.50 and $18.50. What is the median?

Answers

if we put the numbers in order, it would be 12, 12.50, 13, 18.50, 20, 20 we can see the middle numbers would be 13 and 18.50. if only one number is wanted as the median, then we can do (13+18.50) divided by 2 and get 15.75.

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Answers

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Step-by-step explanation:

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Answers

Answer:

-1 = x              1 = x  

Step-by-step explanation:

We want to factor this first

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Answers

Answer:

c=-6

Step-by-step explanation:

I used a calculator and paper and a pencil d---------b yeah :D yr welcome

Ok, so you would want to simplify both sides of the equation

(-1/3)(-12) + (1/3)(-12c)=-20 (here you distribute)

4+4c=-20

Then, subtract 4 from both sides

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

b = 2

Step-by-step explanation:

For the graph to pass through the point, we have it that the coordinates of the point will work in the equation of the line

Hence, by substituting the x value, we can get the y value and by substituting the y value, we can get the x value

where f(x) is same as y in this case

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

note that

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Using the rule of exponents

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Answer:

Are you asking for the definition? If so

Step-by-step explanation:

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Answers

Answer:

This equation has two solutions.

1 solution is: x - 1

Solution #2 is : x - 7

Step-by-step explanation:

1. Move the constant to the left. We end up with x^2 - 8x +7 = 0

2. Rewrite the expression: x^2 - x - 7x + 7 = 0

3. Factor the expressions: x * (x-1) -7(x-1) = 0

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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