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3 years ago

Which expression correctly shows 2x^5y−2x^2y factored completely over the integers?

Mathematics

1 answer:

Nat2105 [25]3 years ago

3 0

Answer:

Option D, 2x^2y(x - 1)(x^2 + x + 1)

Step-by-step explanation:

Step 1: Factor

2x^5y - 2x^2y

2x^2y(x^3 - 1)

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

Answer: Option D, 2x^2y(x - 1)(x^2 + x + 1)

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Mashutka [201]

Use the pythagorean theorem if you cannot directly measure it. a squared plus b squared = c squared

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3 years ago

The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.

bulgar [2K]

Answer:

Let x = the smaller number

Let 3x + 15 = the larger number

x + 3x + 15 = 63

4x = 48

x = 12

3(12) + 15 = 51

Step-by-step explanation:

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2 years ago

Frances gets 6 paychecks in 12 weeks. how many paychecks does she get in 52 weeks?

viktelen [127]

In this question it is important to look at all the information's that are given. Based on those given information's, the answer to the question can be very easily deduced. Now let us concentrate on the problem in hand.
The number of paychecks that Frances gets in 12 weeks = 6
Then
The number of paychecks that Frances gets in 1 week = (6/12)
= (1/2)
So
The number of paychecks that Frances gets in 52 weeks = (1/2) * 52
= 26
So Frances gets 26 paychecks in 52 weeks.

6 0

3 years ago

Read 2 more answers

The cost of renting a car for a day is $0.50 per mile plus a $15 flat fee.

Vadim26 [7]

Answer: a) y=0.50x+15

b) The graph of this equation form on a coordinate plane is a line.

c) Slope =0.50 and y-intercept = 15

Step-by-step explanation:

Let x = Number of miles driven by car

Given: The cost of renting a car for a day is $0.50 per mile plus a $15 flat fee.

a) Total cost = 0.50x+15

If y =total cost of renting the car, then y=0.50x+15 (i)

b) Above equation is similar to y= mx+c (ii) [m = slope , xc=y-intercept] which a linear equation .

So the graph of this equation form on a coordinate plane is a line.

c) Comparing (i) and (ii)

m=0.50 , c=15

Slope =0.50 and y-intercept = 15

3 0

3 years ago

Where r is the radius of the cylinder and h is the height of the cylinder.

AnnyKZ [126]

<h3>Given:-</h3>

radius = 7 inches
height = 9 inches

$\\ \\$

Surface area of cylinder

$\\ \\$

we know:-

$\bigstar \boxed{ \rm Surface \: Area \: of \: Cylinder=2\pi rh+2\pi {r}^{2} }$

$\\ \\$

So:-

⇢SA of cylinder=2πrh+2πr²

$\\$

⇢SA of cylinder = 2πr(h+r)

$\\$

⇢SA of cylinder = 2 × π × 7(7 + 9)

$\\$

⇢SA of cylinder = 2 × π × 7 (16)

$\\$

⇢SA of cylinder = 2 × π × 112

$\\$

⇢SA of cylinder = 2 × 112 × π

$\\$

⇢SA of cylinder = 224π inches ²

$\\$

.°. Surface Area of cylinder is 224π inches².

3 0

2 years ago