An expression is shown below:

2x3y + 8xy − 4x2y − 16y

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Plz help, give good answer and get brainlest!!

Answers

Answer 1

Answer:

2y is greatest common factor

Add and subtract the second term to the expression and factor by grouping.

2y(x−2)(x2+4) is the factor

Step-by-step explanation:

Answer 2

Answer:

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

answer:

2y(x³+4x-2x²-8)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

answer:

2y(x³+4x-2x²-8)

2y(x³-2x²+4x-8)

2y(x²(x-2)+4(x-2))

2y(x²+4)(x-2)


Related Questions

a car travels 60km in 36minutes.At the same average speed, how far will it travel in 1 hour 12 minutes​

Answers

Answer:

120km

Step-by-step explanation:

1hr 12 min is double 36 minutes

so just double 60

What is the present value for $12,484 at 8% for two years

Answers

Answer:

Total = Principal * (1 + rate)^2

Total = 12,484 * (1.08)^2

Total = 14,561.34

Source http://www.1728.org/compint.htm

Step-by-step explanation:

Classify the angle pair using all names that apply

Answers

Answer:

Vertical and supplementary

Step-by-step explanation:

Angles 1 and 2 are Vertically opposite angles and therefore they are equal to each other.

Which equation could be used to find the
total cost cif Fernando wanted to buy
8 pencils from the school store?

Answers

Answer:

A. C=0.15*8

Step-by-step explanation:

3 pencils for $0.45, think about how much one pencil costs? so divide 0.45 by 3 and get 0.15 which basically means 1 pencils is 15 cents, multiply that by the amount of pencils fernando wants which is 8 and that's your equation

What is the value of the expression 13/4 (8)? *

Answers

Answer: 26

(13/4) (8/1) =(13) (8)/ (4) (1) = 104/4 = 26

Step-by-step explanation:

I think the answer is 26 have a nice day!

2) What is the area of the figure?

Answers

Answer:

9+7+4+5= 25

Step-by-step explanation:

add up everything then get ur answer

plzzzzzzzzzzzzzzzzzzzzzzzzz help me this is a grade

Answers

Answer:

1.83

Step-by-step explanation:

Answer:

I'm not good with models and modeling but the answer will be 1.83.

What is 57 divided by 90?

Answers

Answer:

0.63 should be your answer

Answer;

0.6333333

Step-by-step explanation:

I think it's helps you

The dot plots show the heights of the players on two basketball teams.



Which statement is best supported by these data?

Answers

Answer:

hgfdcvbjk

Step-by-step explanation:

jhgfdsxzxdcfvgbhjkl

10 POINTS FOR THE CORRECT ANSWER PLEASE HELP

Answers

Answer:

Step-by-step explanation:

The Pythagorean theorem says:

[tex]a^2+b^2=c^2[/tex]

where a and b are the two legs of the triangle and c is the hypotenuse.  Here, let's say a = 6 and b = [tex]\sqrt{13}[/tex]. We then get the following equation:

[tex]c^2= (6)^2+(\sqrt{13})^2=49[/tex]

So c = 7. Technically, c can also equal -7 since (-7)^2 = 49 as well but that does not apply here because a side length cannot be <0. So 7 is the answer.

Find the value of 3/x+7
if X= 25.
A) 32
B) 82
C) -8
D) 22

Answers

Answer:

32

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

If evaluated this is the answer!

Find the surface area of the prism , need help and steps fast please!!

Answers

Answer:

190cm squared

Step-by-step explanation:

The surface area formula and a surface area calculator both gave this answer. Hope you do good on your assignment.

write numbers on the blanks to create a different expression that is equal to (3+4)+5

Answers

Answer:

(3+4)+5=12

Step-by-step explanation:

(3 + 4 ) = 7

7 + 5 =

12

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

113

Step-by-step explanation:

Find the perimeter of the semicircular region. Round your answer to the nearest hundredth.
6 in.

Answers

9514 1404 393

Answer:

  30.85 in

Step-by-step explanation:

The circumference of a circle with a 6" radius is ...

  C = 2πr

  C = 2π(6 in)

Then the curved portion of a semicircle with that radius will have the length ...

  1/2C = 1/2(2π)(6 in) = 6π in . . . . curved length

The straight portion of the boundary of this figure is simply twice the radius, so is ...

  2×6 in = 12 in . . . . straight length

__

The perimeter is the sum of the curved and straight lengths:

  P = (6π +12) in ≈ 30.8496 in ≈ 30.85 in . . . . figure perimeter

What is the mean of the data set?
{20, 1, 14, 14, 9,8}

Answers

Answer and Step-by-step explanation:

To find the mean, you have to add all of the data together, then divide by the amount that there is.

So, when adding together the data, we get 66. We have 6 values, so we will divide 66 by 6.

66 divided by 6 is 11.

The mean of the data set is 11.

#teamtrees #PAW (Plant And Water)

Answer:

11

Step-by-step explanation:

20+14+14+9+8=66

66 divide by 6 = 11

quadrilateral PQRS has coordinates P(-5, -2), Q(-2, -2), R(-4, -6) and S(-7, -6). Where is P' after quadrilateral PQRS is reflected over the x-axis? PLEASE HELP!!! QUICK

A. (-5, 2)
B. (5, 2)
C. (5, -2)
D. (-2, 5)

Answers

The answer is gonna be b

9 = 3 (1/2 + k)
explanation

Answers

K= 5/2 or 2 and 1/2 or 2.5

who is spongeborb ???

Answers

Answer:

Spongeborb???

I don't know a spongeborb, but I DO know a spongebob

Spongebob is my homie, he lives right next door to me in his pineapple...and occasionally, I make him do my dishes

Answer: spongeborb?

SpongeBob SquarePants is the title character and protagonist of the American animated television series of the same name. He is a sea sponge who works as a fry cook at the Krusty Krab, a fast food restaurant known for its signature burger, the Krabby Patty.

Step-by-step explanation:

Have a nice day!

What is 24 1/2 - 9 7/8?

Answers

Answer:

the answer is 12 I hope this answer helps you

please help i don't know what to do

A slope and x-intercept

B slope and y-intercept

C Slope and a point that is not an intercept

D x-intercept and y-intercept

E y- intercept and a point that is not an intercept

F two points that are not a intercepts ​

Answers

Answer:

5

It is that because I know this

A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in
an upcoming election. A poll of 150 randomly selected voters is taken from the more than 2,000 voters in the
population, and 78 of those selected plan to vote for the incumbent candidate.
Based on this sample, which of the following is a 90% confidence interval for the proportion of all voters who
plan to vote for the incumbent candidate?

Answers

Answer:

90% confidence interval -> {0.4529, 0.5871}

Step-by-step explanation:

Check conditions for a 1-proportion z-interval:

np>10 -> 150(0.52)>10 -> 78>10 √

n(1-p)>10 -> 150(1-0.52)>10 -> 72>10 √

Random sample √

n>30 √

For a 90% confidence interval, the critical value is z=1.645

The formula for a confidence interval is:

CI = p ± z√[p(1-p)/n]

Given:

p = 78/150 = 0.52

n = 150

z = 1.645

Therefore, the 90% confidence interval is:

CI = 0.52 ± 1.645√[0.52(1-0.52)/150] = {0.4529, 0.5871}

Context: We are 90% confident that the true proportion of all voters who

plan to vote for the incumbent candidate is contained within the interval

7
11 X
Find the exact value of x.
X=
Do the side lengths form a Pythagorean triple?
o yes
O no

Answers

Answer:

[tex] \sqrt{49 + 121} = \sqrt{170} [/tex]

No , The side lengths of the triangle does not form a Pythagorean triple

The value of x = 13.038 = √170

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Given data ,

Let the triangle be ΔABC

Now , the base of the triangle BC = 11

The height of the triangle AB = 7

The hypotenuse of the triangle AC = x

Now , the length of AC can be calculated from the Pythagoras Theorem

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

And , AC² = AB² + BC²

Substituting the values in the equation , we get

AC² = 11² + 7²

AC² = 121 + 49

AC² = 170

Taking square roots on both sides of the equation , we get

The value of AC = √170

The value of AC = 13.038

Therefore , the value of x = 13.038

Hence ,

No , The side lengths of the triangle does not form a Pythagorean triple

The value of x = 13.038 = √170

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

Ethan earns $12 per hour for walking Ms. Barns's two dogs, plus an additional $7 for brushing the dogs after their walk.

→ Let x represent the hours Ethan works.
→ Let y represent the total he earns each day.

Which number sentence best represents this situation?

A. 12 + 7 + 2 = y

B. 12x · 2 + 7 = y

C. 12x + 7 = y

D. 12x - 7 = y

Answers

Answer:

i think the answer is C. 12x+7=y :)

Step-by-step explanation:

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of business travelers follow. 6 10 2 6 3 3 3 6 6 6 6 5 8 9 10 10 7 9 3 6 5 10 9 9 10 3 8 6 6 3 3 6 6 5 4 10 9 3 5 7 10 6 3 8 6 8 3 3 5 5 Develop a confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places.

Answers

Answer:

(5.4582 ; 6.8618)

Step-by-step explanation:

Given the data:

6 10 2 6 3 3 3 6 6 6 6 5 8 9 10 10 7 9 3 6 5 10 9 9 10 3 8 6 6 3 3 6 6 5 4 10 9 3 5 7 10 6 3 8 6 8 3 3 5 5

Sample mean, xbar = Σx / n

n = sample size = 50

ΣX = 308

xbar = 308 / 50 = 6.16

Using a Calculator :

The sample standard deviation, s = 2.469

Confidence interval = xbar ± margin of error

Margin of Error = Tcritical * s/sqrt(n)

Tcritical at 95% ; df = 50 - 1 = 49

Tcritical = 2.010

Hence,

Margin of Error= 2.010 * (2.469/sqrt(50)) = 0.7018

Lower boundary : (6.16 - 0.7018) = 5.4582

Upper boundary : (6.16 + 0.7018) = 6.8618

(5.4582 ; 6.8618)

what is the volume please this is for a quiz​

Answers

Answer:

2 61/162

Step-by-step explanation:

Find the distance between the points (3,7) and (3,2)

Answers

Answer:

5 units.

Step-by-step explanation:

Since the distance is straight up.

You have two options:

Graph those two points and count the spaces separating them

or

Since they have the same x, you would only need to subtract 7-2.

4×10^3 times what number is equal to 16×10^5?
Really stuck on this question on my virtual Exam.Could use a little help.

Answers

Answer:

400        or       4 x 10²

Step-by-step explanation:

Please help me with this question!! I also need the steps

Answers

Hi there!

[tex]\large\boxed{x = \frac{\pi}{3} \text{ and } \pi}[/tex]

We are given:

cos(7x)cos(4x) = -1 - sin(7x)sin(4x)

Begin by moving all terms with variables to one side:

cos(7x)cos(4x) + sin(7x)sin(4x) = -1

The corresponding trig identity is cos(A - B). Thus:

cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1

cos(3x) = -1

cos = -1 at  π, so:

3x = π

x = π/3

We can also find another solution. Let 3π = -1:

3x = 3π

x = π

Thus, solutions on [0, 2π) are π/3 and π.

The binomial (a+5) is a factor of a2+7a+10. What is the other factor?

(a+2)
(a+5)
(a−2)
(a−5)

Answers

Answer:

(a+2)

Step-by-step explanation:

a²+7a+10 = (a + 5) (a + 2)

a  +  5

    X  5a + ?a = 7a => 5a + 2a = 7a, 5 × ? = 10 => 5 × 2 = 10

a  +  2    

______

(a + 5) (a + 2)

Answer:

a

Step-by-step explanation:

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