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2 years ago

Factor the GCF: 9x4y − 6x3y2 3x2y3. 3x2y(3x2 − 2xy y2) 3xy(3x2 − 2xy y2) 3xy2(3x2 − 2xy y2) 3x2y(3x2 2xy y2).

Mathematics

1 answer:

Papessa [141]2 years ago

5 0

The factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

<h3>What is factored form?</h3>

The product of a constant and two linear expressions in factored form. The roots of the function are the parameters and the x-intercepts of the graph. Often Factoring is referred to as the process of converting a quadratic function to factored form.

We need to write the given expression $9x^4y-6x^3y^2 + 3x^2y^3$ in the factored form, therefore, we will take the common terms out of the given expression,

1. Taking 3 as the common term, we will get,

$9x^4y-6x^3y^2 + 3x^2y^3\\\\= 3 (3x^4y-2x^3y^2 + x^2y^3)$

2. Taking x² as the common term

$= 3 (3x^4y-2x^3y^2 + x^2y^3)\\\\= 3x^2(3x^2y-2xy^2+y^3)\\\\$

3. Taking y as the common term,

$= 3x^2(3x^2y-2xy^2+y^3)\\\\= 3x^2y(3x^2-2xy+y^2)\\\\$

Hence, the factored form of the equation 9x⁴y - 6x³y² + 3x²y³ is 3x²y(3x²-2xy+y²).

Learn more about Factored Form:

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kow [346]

Answer:

<h2>Here's what makes an integer odd:</h2>

It is NOT a multiple of 2.

When divided by 2, the quotient would be a decimal or have a remainder or fraction.

<h2>Here's what makes an integer even:</h2>

It is a multiple of 2.

When divided by 2, the quotient has a whole number.

<em>The odd numbers from one to 10 are: 1, 3, 5, 7, 9.</em>

<em>The even numbers from one to 10 are: 2, 4, 6, 8, 10. </em>

With big numbers, if it ends with any of the odd numbers from one to ten, listed above, it would be odd. This goes for the same with even.

An odd number and even number has a pattern....

[odd, even, odd, even, odd...] [1, 2, 3, 4, 5]

So, if x was an odd number, adding it by 2, 4, 6, etc. will result in another odd number.

Here's an example:

$x= 17\\x + 2 = ?\\(17) + 2 = 19$

<em>See how x is an odd number and the sum of the number and two makes another odd number? </em>

The same can go with an even number:

$x=2\\x + 6 = ?\\(2) + 6= 8$

<em>See how x is an even number and the sum of the number and six makes another even number? </em>

I hope my answer helps you understand even and odd numbers.

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3 years ago

Write the sentence as an inequality.

Bogdan [553]

Answer:

1/2y > 22

Step-by-step explanation:

This can also be written as

y/2 > 22

and

0.5y >22

Hope this helps!

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2 years ago

A city has designed a survey to collect information about residents’ opinions about city services. Which of the following descri

Maslowich

Bias refers to scenarios which might affect the ability of a statistical experiment to generalize, hence affecting the validity of research. Non-response bias occurs when majority of subjects <em>fail to respond during a survey</em>. Hence, a likely scenario is ; <em>surveys were mailed to 500 people, and 200 of the surveys were completed and </em><em>returned</em><em>.</em><em> </em>

Non - response bias has to do with a situation whereby a large percentage of the selected samples from a population do not respond or fail to participate in the experiment or survey.

If 200 surveys were returned, then 300 of the sample participants did not respond. Which means <em>60% of the sample are non-responsive</em>.

Therefore, a scenario where <em>surveys were mailed to 500 people, and 200 of the surveys were completed and </em><em>returned</em><em> </em>exemplifies a non - response bias.

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3 years ago

If RS=TU, then RS+XY=TU+XY

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