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1 year ago

Which expression correctly shows 2x³y - 2y factored completely?

Mathematics

1 answer:

OverLord2011 [107]1 year ago

3 0

Answer:

$2y(x-1)(x^2+x+1)$

Step-by-step explanation:

$~~~2x^3y-2y\\\\=2y(x^3-1)\\\\=2y(x-1)(x^2+x+1)~~~~~~~~~~;[a^3-b^3 = (a-b)(a^2 +ab+b^2)]$

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1. A submarine is 40 meters below sea level. It goes up 12 meters, then goes down 30 meters. What is the submarine's new positio

expeople1 [14]

Answer:

Step-by-step explanation:

The submarine is below the sea level by 40 meters. Then, it goes up by 12. That means 40-12=28. The submarine goes 30m down again which means 28+30=58

7 0

3 years ago

You can buy 5 cans for green beans at the Village Markets for $3.70. You can buy 10 of the same cans of beans at Sam’s Club for

mihalych1998 [28]

The place with the best buy between village market and Sam's club is Sam's club at $0.59 per can.

Village market:

Green beans = 5 cans
Total cost = $3.70

Unit rate = Total cost / green beans

= 3.70 / 5

= $0.74 per can

Sam's club:

Green beans = 10 cans
Total cost = $5.90

Unit rate = Total cost / green beans

= 5.90/10

= $0.59 per can

Therefore, the place with the best buy between village market and Sam's club is Sam's club at $0.59 per can.

Learn more about unit rate:

brainly.com/question/4895463

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6 0

1 year ago

The square root of 9x plus 7 plus the square rot of 2x equall to 7

Oliga [24]

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=2

4 0

3 years ago

Determine the next step for solving the quadratic equation by completing the square.

Studentka2010 [4]

Answer:

The solutions are $x=\frac{1+\sqrt{7}}{2}$ and $x=\frac{1-\sqrt{7}}{2}$

Step-by-step explanation:

we have

$0=-2x^{2}+2x+3$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$-3=-2x^{2}+2x$

Factor the leading coefficient

$-3=-2(x^{2}-x)$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$-3-0.5=-2(x^{2}-x+0.5^{2})$

$-3.5=-2(x^{2}-x+0.5^{2})$

Rewrite as perfect squares

$-3.5=-2(x-0.5)^{2}$

$7/4=(x-0.5)^{2}$

square root both sides

$x-0.5=(+/-)\sqrt{\frac{7}{4}}$

$x-\frac{1}{2}=(+/-)\frac{\sqrt{7}}{2}$

$x=\frac{1}{2}(+/-)\frac{\sqrt{7}}{2}$

$x=\frac{1+\sqrt{7}}{2}$

$x=\frac{1-\sqrt{7}}{2}$

4 0

3 years ago

For the past 25 days, jonathon has read for n minutes each day. His total number of minutes read is 875. Write an equation to ex

liubo4ka [24]

Answer:

Required equation is: 25n = 875

Step-by-step explanation:

Let n be the number of minutes Jonathon read per day

Now

He read for 25 days and total 875 minutes

The equation will be:

$25n = 875$

We can solve this equation to find the number of minutes each day

Using Division property of Equality

$\frac{25n}{25} = \frac{875}{25}\\n = 35$

Hence,

Required equation is: 25n = 875

6 0

3 years ago