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Vilka [71]
3 years ago
9

Students in a pre-algebra class are given the polynomial 12x2y−6xy+18y2 and told to factor out the greatest common factor. Which

student has made the correct​ choice?(1 point)
Mathematics
1 answer:
serg [7]3 years ago
3 0

This question is not complete

Complete Question

Students in a pre-algebra class are given the polynomial 12x²y - 6xy +18y² and told to factor out the greatest common factor.

Which student has made the correct choice? (1 point)

a) Delia chose 3y because she said that it was a factor of every term.

b) Pedro chose y because he said that the greatest common factor can be found only by looking at the variable terms.

c) Mike chose 6y because he said that it was the largest factor of every term. d) Marisol chose 6 because she said that it was the only greatest common factor in each term.

Answer:

c) Mike chose 6y because he said that it was the largest factor of every term.

Step-by-step explanation:

Step 1

Identify the GCF of the coefficients.

12x²y - 6xy + 18y²

Coefficients are :

12, 6, 18

The Greatest Common Factor for 12, 6, 18 =

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

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

The factors of 18 are: 1, 2, 3, 6, 9, 18

Then the greatest common factor is 6.

Step 2

Identify the GCF of the variables.

x²y , xy, y²

The GCF of these variables is y

Step 3

Combine to both GCF's to obtain the GCF of the expression.

= 6 × y

= 6y

The Greatest Common Factor for the expression 12x²y−6xy + 18y² is 6y

Step 4

We factorise

= 12x²y−6xy + 18y²

= 6y(2x² - x + 3y)

Therefore, Option c) Mike chose 6y because he said that it was the largest factor of every term is the correct option.

Mike is correct.

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The number can be divided by the least common multiple of 3 and 5
kondaur [170]

9514 1404 393

Answer:

  255

Step-by-step explanation:

If the sum of digits is 12, the number is divisible by 3. If the number ends in 0 or 5, it is divisible by 5. So, we're looking for ...

  2x0 . . . where x is a digit and 2+x+0 = 12 . . . . . . not possible

  2x5 . . . where x is a digit and 2+x+5 = 12 . . . . true for x=5

The number is 255.

3 0
3 years ago
Whats 0 divide 0 i really want to know
Gelneren [198K]

Answer

N/A

Step-by-step explanation:

lets take a step into our imaginations, ok?

So when you divide, you're basically splitting the numerator into as many parts as the denominator.

imagine you have a chocolate bar, and it has 6 pieces and you want to split it evenly between your 3 friends.

you split it into three equal parts to get 2 pieces per person.

When you divide 0 by 0, your splitting 0 chocolate bars into 0 equal portions, which is why this problem isn't solvable.

4 0
3 years ago
the 41st term of the arithmetic sequence is -539 and the 54th term is -708. Find the value of the 80th term
yulyashka [42]

Answer:

a _{n} = a _{1} + (n - 1)d \\ a _{41} =  - 534 \\ a _{54} =  - 708 \\  a _{41} =  a _{1} + (41 - 1)d = - 534  \\  a _{1} + 40d = - 534 \:  \: ...(1)\\ a _{54} =  a _{1} + (54 - 1)d =- 708 \\ a _{1} + 53d = - 708 \:  \: ...(2)

Try to solve the similtanious equation to find the first term and the common difference, then use that information to figure out the 80th term... Update me if you need further help ...

7 0
3 years ago
PLEASE HELP due soon!I forgot how to do it omg
Flura [38]

Answer:

(3, -3) is correct

Step-by-step explanation:

-4 × 3 = -12. -12 + 9 = -3

8 0
3 years ago
Joy is reading a 352 page novel for her summer reading project on Monday she reads 3/8 of the novel on Tuesday she reads 28 page
MAXImum [283]

Answer:

104 Pages

Step-by-step explanation:

on Monday she reads 3/8 of the novel which means

\frac{3}{8} x 352 = 132 pages

on Tuesday she reads 28 pages, doesn't require any calculations.

on Wednesday she reads 1/4 of the novel,

\frac{1}{4} x 352 = 88

Just add all of that,

132+28+88=248 Pages

Subtract the novel pages by the read pages value

352-248=104pages.

8 0
3 years ago
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