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3 years ago

100 points if you answer all these questions

Mathematics

2 answers:

Aleksandr [31]3 years ago

5 0

Answers:

<h3>Distributive Property</h3><h3>Addition Property of Equality</h3><h3>Division Property of Equality</h3>

Step-by-step explanation:

Let's solve this problem step-by step to see what we use to solve this.

<h3>Step 1: Distributive Property</h3>

3x - 9 = 12

<h3>Step 2: Addition Property of Equality</h3>

3x = 21

<h3>Step 3: Division Property of Equality</h3>

x = 7

I'm always happy to help :)

almond37 [142]3 years ago

3 0

Distributive Property, Addition Property of Equality, Division Property of Equality

To solve this problem is to see what we have to use to solve this.

First step: Distributive Property: 3x - 9 = 12

Second step: Addition Property of Equality: 3x = 21

Third step: Division Property of Equality: x = 7

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gulaghasi [49]

1) common factors of the variable is x

2) common factors of the constants is 4

3) common factors of the expression is 4x

<em><u>Solution:</u></em>

Given that,

$12x^4 - 20x^2 + 32x$

<em><u>1. Explain how you find the common factors of the variable? </u></em>

The variables are:

$x^4\\\\x^2\\\\x$

Find the factors:

$x^4 = x \times x \times x \times x\\\\x^2 = x \times x\\\\x$

Here, "x" is present in all variables

x is the greatest common factor

Thus common factors of the variable is x

<em><u>2, Explain how you find the common factors of the constants?</u></em>

The constants are 12, 20 and 32

Find the greatest common factor

List down factors of 12, 20 and 32

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 20 are: 1, 2, 4, 5, 10, 20

The factors of 32 are: 1, 2, 4, 8, 16, 32

Then the greatest common factor is 4

The common factors of the constants is 4

<em><u>3. What are the common factors of the expression?</u></em>

Given is:

$12x^4 - 20x^2 + 32x$

Factor out x and 4

$4x(3x^3 - 5x + 8)$

The common factors of the expression is 4x

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3 years ago