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BARSIC [14]
3 years ago
12

Identify the GCF of 10x4y3 − 5x3y2 + 20x2y.

Mathematics
2 answers:
viktelen [127]3 years ago
8 0
<h2>Answer:</h2>

The GCF of the given expression is:

                          5x^2y

<h2>Step-by-step explanation:</h2>

The GCF ( greatest common factor ) is the greatest divisor which divides all the terms completely.

Here we have the expression as:

10x^4y^3-5x^3y^2+20x^2y

Here we see that the factors of the first term are:

10x^4y^3=2\times 5\times x\times x\times x\times x\times y\times y\times y

The factor of the second term is:

-5x^3y^2=-1\times 5\times x\times x\times x\times y\times y

and the factor of the third term is:

20x^2y=2\times 2\times 5\times x\times x\times y

i.e. the factor which is common to all the three terms are:

5\times x\times x\times y=5x^2y

Hence, the GCF is:   5x^2y

Agata [3.3K]3 years ago
7 0
The GCF, or greatest common factor, is the greatest positive integer that evenly multiplies to make the numbers in the set. For simple numbers, GCF(12, 80, 44) is 4.

The strategy for expressions with variables is still to factor out the greatest term.

For 10x^4y^3-5x^3y^2+20x^2y, we look for the largest factor in each term.

For 10x^4y^3, the largest factors are x^4 and y^3. We'll come back to the coefficients in a minute.

For -5x^3y^2, the largest factors are x^3 and y^2. Now, looking back to the previous term and also considering the coefficients, the largest factor of the two is 5x^3y^2. You could rewrite the first term as (5x^3y^2)(2xy) and the second term as -1(5x^3y^2).

Now, we consider the last term, 20x^2y. The largest factor common to the two other terms is 5x^2y.

And that's our final answer for the GCF (answer D).
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What is the GCF and LCM for 15,55,52
jonny [76]

Answer:

LCM = 8580

GCF = 1

Step-by-step explanation:

15 = 3 × 5

55 = 5 × 11

52 = 2 × 2 × 13

LCM(15, 55, 52)

= 2 × 2 × 3 × 5 × 11 × 13

= 8580

---------------------------------------------------

GCF  explanation

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

The factors of 52 are: 1, 2, 4, 13, 26, 52

The factors of 55 are: 1, 5, 11, 55

Then the greatest common factor is 1.

3 0
3 years ago
Read 2 more answers
What is x-4y=28 2x+y=2 on a graph
trasher [3.6K]
<span>-4y + x = 28
<span>  y + 2x = 2

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3 years ago
The probability that a lab specimen contains high levels of contamination is 0.15. A group of 4 independent samples are checked.
Lady bird [3.3K]

Answer:

0.5220

Step-by-step explanation:

Since the probability of contamination is 0.15, the probability of no contamination is 1 - 0.15 = 0.85

The probability that they are all contaminated will be 0.85 * 0.85 0.85 * 0.85 = 0.52200625

This is 0.5220 to four decimal

5 0
3 years ago
Luis put out
solniwko [45]

Answer:

<u><em>2 1/4 pies</em></u>

Step-by-step explanation:

Find out how much pie was leftover from each pie:

Apple pie: 3/4, 4 - 3 = 1, 1/4

Blackberry: 1/2, 2 - 1 = 1, 1/2

Blueberry: 1/8, 8 - 1 = 7, 7/8

Cherry: 5/8, 8 - 5 = 3, 3/8

Peach: 3/4, 4 - 3 = 1, 1/4

There are 1/4, 1/2, 7/8, 3/8, and 1/4 pies left. The LCD if these numbers is 8, since 2*4 = 8, 4*2 = 8, and 8*1 = 8

1/4 = 2/8

1/2 = 4/8

7/8 = 7/8

3/8 = 3/8

1/4 = 2/8

2 + 4 + 7 + 3 + 2 = 18, so 18/8 pies, or 2 2/8, or 2 1/4

5 0
3 years ago
Read 2 more answers
2x -3y=8 solve for y
brilliants [131]
2x-3y=8\ \ \ \ \ \ |subtract\ 2x\\\\-3y=8-2x\ \ \ \ \ \ \ \ \ |:-3\\\\y=\frac{8-2x}{-3}
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