1. (08.01, 8.02 MC) An expression is shown below: 2x3y2 + 18xy2 − 20x2y − 180y Part A: Rewrite the expression so that the GCF is factored completely. (4 points) Part B: Rewrite the expression completely factored. Show the steps of your work. (6 points) (10 points)

Answers

Answer 1

Answer:

A. 2y

B. (xy − 10)(2x²y + 18y)

Step-by-step explanation:

Part A: Rewrite the expression so that the GCF is factored completely.

2x³y² + 18xy² − 20x²y − 180y

Factoring y out, we have

(2x³y + 18xy − 20x² − 180)y

Factoring 2 out, we have

(x³y + 9xy − 10x² − 90)2y

So, the GCF is 2y and the expression factored is (x³y + 9xy − 10x² − 90)2y

Part B: Rewrite the expression completely factored.

2x³y² + 18xy² − 20x²y − 180y

Rearranging, we have

2x³y² − 20x²y + 18xy²  − 180y

Separating them into brackets, we have

(2x³y² − 20x²y) + (18xy²  − 180y)

Factorizing the expressions in bracket, we have

(xy − 10)2x²y + (xy  − 10)18y

collecting like terms, we have

(xy − 10)(2x²y + 18y)


Related Questions

Shelby is collecting 151/2 pounds of pebbles for a geology experiment. If she collects the pebbles in buckets that hold 35/8 pounds of weight how many bucketscan she need

Answers

Answer:

4.27

Step-by-step explanation:

Shelby is collecting 15 1/2 pounds of Peebles for his geology experiment

She collects the pebbles in a bucket that holds 3 5/8 weight pounds

Therefore the number of buckets that will he required can be calculated as follows

= 15 1/2 ÷ 3 5/8

= 31/2 ÷ 29/8

= 31/2 × 8/29

= 124/29

= 4.27

The equation is P= 6s represents the perimeter P of a regular hexagon with side length s. What is the perimeter of a regular hexagon with side length as 5 mm?

Answers

Answer:

30

Step-by-step explanation:

NEED HELP This is a picture of a coordinate graph.

Which ordered pair describes a point that is located 4 units to the left of the origin and 6 units below the x-axis?

(4, −6)
(6, −4)
(−4, −6)
(−6, −4

Answers

Last one is the answer to your question

6n blocks of clay are shared among 14 students. Write and algebraic expression for the number of blocks of clay that each student will get

Answers

6n divided by 14 (sorry I do not have a divide sign)

Hope this helps!:)

Answer:

6n ÷ 14

Step-by-step explanation:

the blocks are shared among the people.

3 3/8 divided by 2 1/4 =

Answers

Answer:

1.5 or 1/5

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.

NEED HELP ASAP!!!Does anyone know the answer to this

Answers

Answer:Y intercept is (0,4)

axis of symmetry is -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

help pls, I'm timed!

Answers

Answer:

90

Step-by-step explanation:

Simplify (2x + y)(x - 2y) - (x + 2y)(2x - y) as much as possible.

Answers

Answer:

-6xy

Step-by-step explanation:

(2x-y)x(x-2y)-(x+2y)X(2x-y)

remove the parentheses

2x^2-4xy+xy-2y^2-(2x^2-xy+4xy-2y^2)

collect terms

2x^2-4xy+xy-2y^2-(2x^2+3xy-2y^2)

remove the parentheses

2x^2-4xy+xy-2y^2-2x^2-3xy+2y^2

remove the opposites, collect the terms to get -6xy

Please help me!!!!! Pleasee

Answers

Answer:

Step-by-step explanation:

cos x= LJ/JK=2.8/9.3

⇒x ≈1°

The answer is 26.04 I’m sorry if it’s not correct but i tried my best

Write the equation in standard form for the circle passing through (0,8) centered at the origin

Answers

Answer:

[tex]x^{2} + y^{2} = 64[/tex] is the equation in standard form

Step-by-step explanation:

The distance from (0, 0) to (0, 8) = 8 = the radius of the circle

[tex]x^{2} + y^{2} = 64[/tex] is the equation in standard form

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Answers

Answer:

What is your question

Step-by-step explanation:

I do not see a question

Answer:

where is the question at?

Step-by-step explanation: I don'tsee it

An angle measures (2x + 11).
. What is the measure of an angle that is vertical to the given angle?
Please help ASAP

Answers

Vertical angles are always congruent, or of equal measure.
Vertical angle is equal to given angle. Answer is:(2x+11)

The required measure of a vertical angle is given as 2x + 11.

An angle measures (2x + 11). The measure of an angle that is vertical to the given angle is to be determined.

What is the angle?

orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

here,
The measure of angle remains the same because vertical angles are always equal for the two intersecting lines.

Thus, the required measure of a vertical angle is given as 2x + 11.

Learn more about Angles here:

https://brainly.com/question/13954458

#SPJ2

HELP WITH QUESTION 2 PLEASE! I’ll give you brilliance

Answers

Answer:

A : 25 , B: 14 , C : 15 , D: 12

D: first you add them it will be 11.8 you round it the nearest tenth of a unit it will be 12 I'm not sure of my answers I hope that I helped you .

In the diagram to the right what is the length of N

Answers

Answer:

C

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex]

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8}{n}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

n = 16 → C

A chef cooked vegetables for 22 customers. The chef cooked 1/3 pound of potatoes and
1/4 pound of green beans for
each customer.

How many pounds of vegetables did the chef cook for these customers all together?

Answers

Answer:

The chef cooked 1/3 pound of potatoes and

1/4 pound of green beans for

each customer.

so. Sum of all vegetables for one customer = 1/3 pound of potatoes + 1/4 pound of green beans

                                                                        = 1/3 + 1/4 pound

                                                                        = 7/12 pound

so. Sum of all vegetables for 22 customer = (7/12 pound ) 22

                                                                      = 22/12 pound

                                                                      = 11/6 pound

                                                                     

Step-by-step explanation:

1 picture 2 questions please and thank you

Answers

Answer:

Step-by-step explanation:

Pau
Kendrick pays $10.50 for a movie ticket and an additional $3.50 per box of candy at the concession stand. For which sequence does the n
th term represent the amount of money Kendrick has spent at the movie theater after buying n boxes of candy?

Answers

Answer:

B

Step-by-step explanation:

The first one starts with his payment for the ticket

Then $14 after he buys a box of candy.

What is the distance from the origin to point A graphed on the complex plane below?

Answers

hi! where’s the picture? can you pls upload it

The points represented by the table lie on a line. How can you find the slope of the line
from the table? What is the slope of the line?

Answers

Answer:

Step-by-step explanation:

okay so you can take any two points 1 x one y in the form (x, y) and (x, y) so

(2, 5) and (4, 1)

then use the slope formula y2-y1/ x2 -x1

1-5+=4

4-2=2

slope equals 4/2 simplified equals 2

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Taylor's mom said he and his brother could go to a movie while she went shopping,
She dropped them off at the theater at 1:45 and said she would be back at 4:00 to get
them. They had three choices of movies. Which movie could they see and be done
by the time their mom came to get them? Show all your work. Hint: Remember that
there are 60 minutes in an hour.
Length
(Including Previews)
Movie
Start Time
1:55
130 minutes
Beetle goes to Town
2:00
125 minutes
Arctic Adventure

Answers

Answer:

beetle goes to town and artic adventure both end at 3:25 so really it's a gamble

Step-by-step explanation:

The price of jona's favorite chocolate slab has changed from R5 to R6. Determine the percentage increase.​

Answers

Step-by-step explanation:

Increase in price = R6 - R5 = R1

% increase. =. R1÷R6 × 100 = R0.16 ×100%

% increase. = 16%

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Helppppppoo plssssssss

Answers

Answer:

0.7 x10^4

Step-by-step explanation:

That is the answer for me jdjjushjsj

Find the area please!

Answers

Answer:

27 in. is the answer

Step-by-step explanation:

hope it helps

Answer: 27 inches

Explanation: Divide the shape into one square and one rectangle, creating two separate shapes.

Find the area of each shape by multiplying length by height.

For the square, multiply 3 x 3 = 9 in.
For the rectangle, multiply 9 x 9 = 18 in.

Next, add both solutions together to get your answer. 9 + 18 = 27 in.

The area of the figure is 27 inches.

SOMEONE PLEASE HELP MEEEEE3​

Answers

the answer is (3,4)

6. Determine if the sequence is arithmetic or
geometric, and the common ratio or
difference.
-4,-2.5, -1, 0.5, 2,......
A. Arithmetic; d = 1.5
B. Arithmetic; d = 2
C. Geometric; r = 0.5
D. Geometric; r = 2

Answers

Answer:

A. Arithmetic; d = 1.5

Step-by-step explanation:

-4, -2.5, -1, 0.5, 2

Looking at the sequence, we can see that the numbers increase. This means our common ration or difference will be positive.

Let's look at common ratios first.

To find the common ratio, divide one term from the term after it.

r = a₂ ÷ a₁

r = -2.5 / -4

Divide.

r = 0.625

To see if this is the common ratio, we want to test this with the other numbers of the sequence.

r = a₃ ÷ a₂

r = -1 / -2.5

r = 0.4

This is not consistent; therefore our sequence is not geometric.

Let's look at common differences next.

To find the common ratio, subtract one term from the term after it.

r = a₂ - a₁

r = -2.5 - (-4)

Simplify.

r = -2.5 + 4

Add.

r = 1.5

To see if this is the common difference, we want to test this with the other numbers of the sequence.

r = a₃ - a₂

r = -1 - (-2.5)

Simplify.

r = -1 + 2.5

r = 1.5

This is consistent; therefore we have found our common difference of this arithmetic sequence.

A. Arithmetic; d = 1.5

Hope this helps!

Marcy is making cookies. For each batch of dough, she needs 23 cup of sugar. How much sugar will she use if she makes 6 batches of cookies?

Answers

Batches times the amount of sugar per batch

23*6=138

Answer:

138 cups of sugar

Step-by-step explanation:

23 cups for 1 batch times 6 batches equals 138.

23*6=138

In the diagram, which two angles are alternate interior angles with angle 14?

4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16; 9, 10, 11, 12.
Angle 4 and Angle 12
Angle 3 and Angle 9
Angle 2 and Angle 10
Angle 12 and Angle 15

Answers

Answer:  Angle 3 and Angle 9

Step-by-step explanation:

Answer:

3 9

Step-by-step explanation:

How do you do this equation?
2(m+7)= blank m+ blank
Use properties of operations to complete the equivalent expression.

Answers

Answer:

2m + 14

Step-by-step explanation:

2(m+7)

2m + 14

Evaluate the expression 3 ⋅ 2^t , when t=1. *

Answers

Answer:

6

Step-by-step explanation:

3 ⋅ 2^t

Let t=1

3 ⋅ 2^1

Exponents first

3 * 2

6

what is the value of x?

Answers

C squared = a squared plus b squared so x squared = 8 squared + 6 squared
X squared = 100 therefore x is 10

Answer:

Step-by-step explanation:

x^2=a^2+b^2

x^2=6^2+8^2

x^2=36+64

x^2=100

x=10

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