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2 years ago

Simplify (9y²-x² )÷ (xy+3y²)

Mathematics

1 answer:

alexdok [17]2 years ago

6 0

Step-by-step explanation:

$\cfrac{(9y²-x² )}{ (xy+3y²)}$
$\cfrac{3 {}^{2} (y) {}^{2} - x}{3(y {})^{2} + xy }$
$3 {}^{2 - 1} y {}^{2 - 2 - 1} - x {}^{2 - 1}$
$3 y { }^{ - 1} - x$

$\cfrac{3}{y} - x$

Therefore,the answer is $\cfrac{3}{y} - x$ .

[Some of the steps I didn't show,try by yourself,to find!]

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Which expression has the same GCF as 15x2 - 21x?

Mice21 [21]

Answer:

$15x^2 +21 x$

Step-by-step explanation:

We have the following expression:

$15x^2 -21 x$

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are -21,-7,-3,-1,1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

If we consider the new expression:

$15x^2 +21x$

We can find the GCF with the following steps.

1. Find the GCF for the numerical part 15 and -21

The factors for 15 are : 1,3,5,15

The factors for -21 are 1,3,7,21

And the common factors are 1,3

The GCF for the numerical part is 3*1 = 3

2. Find the GCF for the variable

The factors of x^2 are : x*x

The factors of x are: x

The common factors are x for this case, so then the GCF for the variable part is x

3. Multiply the two results from steps 1 and 2

GCf= 3*x = 3x

And as we can see both GCF are equal. So then we satisfy the condition required.

5 0

3 years ago

Read 2 more answers

SOMEONE PLEASE HELP!<br>Set up an inequality showing that the radicand cannot be negative.

Stolb23 [73]

Answer:

3t-9 >= 0

Step-by-step explanation:

Original function f(t)= square root 3t-9

There cannot be a negative in the radicand therefore 3t-9 cannot equal a negative number.

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3 years ago

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What is the exact distance from (−4, −2) to (4, 6)? square root of 24. units square root of 88. units square root of 100. units

Mrrafil [7]

Thank you for posting your question here at brainly. The exact distance from (−4, −2) to (4, 6) is the forth one which is <span>square root of 128. units. I hope the answer will help you. Feel free to ask more question. </span>

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3 years ago

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What is 9 /29/40 as a decimal

Luden [163]

9.725 would be the answer

4 0

3 years ago

Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in thi

mamaluj [8]

Answer:

Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario?

First, calculate the rate of change (Slope, once it is a linear function):

I will take the points: $(0, 100)$ and $(1, 80)$

$m=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}= \frac{100-80}{0-1}=-20$

Let's understand the graph!

This linear graph is about songs being downloaded in a period of 5 weeks.

In the beginning, we have 100 songs to be downloaded. As the weeks past, the number of songs remaining decreases, that's why the graph's slope is negative. In week 5, all songs were downloaded.

The initial value (100) represents the number of songs.

Part B: Write an equation in slope-intercept form to model the relationship between x and y.

The Slope-intercept form of linear equations is $y=mx+b$

where, m is the slope and b is the y-intercept.

In this case, we have

$y=-20x+100$

3 0

3 years ago

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