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iris [78.8K]
3 years ago
5

The expression 36a+16b factor using the GCF

Mathematics
2 answers:
LenKa [72]3 years ago
8 0
The greatest colon factor is 4 so the answer would be 4(9a+4b)
wel3 years ago
3 0

Answer:

4(9a+4b)

Step-by-step explanation:

the expression 36a+16b. factor using the GCF

Write the factor for each term

36a= 3 \cdot 2 \cdot 3 \cdot 2 \cdot a

16b= 2 \cdot 2 \cdot 2 \cdot 2 \cdot b

GCF is the greatest common factor

GCF is 2 times 2 = 4

When we factor out 4 we divide each term by 4

36a+16b

4(9a+4b)

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Simplify the expression: w2 + 7w2 + 8w - 5 + 9 - 2w2
ololo11 [35]
<h3>6w^2 +8w +4 is the simplified expression</h3>

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

Given that,

We have to simplify

w^2 + 7w^2 + 8w -5+9-2w^2

We can simplify the above expression by combining the like terms

Like terms are terms that has same variable with same exponent and same or different coefficient

From given,

w^2 + 7w^2 + 8w -5+9-2w^2

Group the like terms

w^2 + 7w^2 -2w^2 + 8w - 5+9\\\\Combine\ the\ like\ terms\\\\6w^2 +8w -5+9\\\\Combine\ the\ constants\\\\6w^2 +8w +4

Thus the given expression is simplified

4 0
3 years ago
2. What is an expression for the distance between the origin and a point P(x, y)?
Hunter-Best [27]

Step-by-step explanation:

Using distance formula: { origin is (0,0)}

√(x - 0)² + (y - 0)²

√x² + y²

6 0
2 years ago
If you sell 30 items at $200 a piece and your commission rate is 20%, how much commission do
jarptica [38.1K]

Answer:

$1200

Step-by-step explanation:

There are 2 ways I immediately think about to solving the problem.

1) You multiply 30 and 200 , then multiply the product by .2 (i.e. 20%)

This way, you'll find out what the total amount was($6,000), then you multiply it by your commission rate.(.2 or 20%) to find your total profit($1,200).

2) You multiply 200 by .20 , then multiply the product by 30.

This way, you'll find out what your commission would be for a single item($40), then multiply by the total items sold (30) to find your total profit($1,200).

5 0
3 years ago
How many solutions does the system have? 3x−5y=15 6x−10y=30 ​
34kurt

Answer:

infinite solutions

Step-by-step explanation:

3x−5y=15

6x−10y=30 ​

Multiply the first equation by 2

2(3x-5y) = 2*15

6x -10y =30

The two equations are identical, which means they are the same line

That means they have infinite solutions

4 0
3 years ago
Write an equation in slope intercept form that goes through (-1,6) and (3,-2)
pochemuha
<h2>Answer:</h2>

First, we need to use <u><em>slope formula*</em></u> to find the slope.

m = \frac{-2 - 6}{3 - (-1)} = \frac{-8}{4} = -2

Second, we use the slope we found and <em>ONE</em> of the 2 points listed and plug it into <u><em>slope-intercept form**</em></u> to solve for <u><em>b</em></u>.

Here is what we have so far:

  • m = -2

I'm going to use this point:

  • x = 3
  • y = -2

Here is how to find <em>b</em>:

-2 = -2(3) + b\\\\-2 = -6 + b\\\\4 = b

Finally, we put all of it together and we have our equation.

y = -2x + b

*Slope formula: <em>m = y₂ - y₁/x₂ - x₁</em>

**Slope-intercept form: <em>y = mx + b</em>

<em></em>

5 0
3 years ago
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