Factor the following expression completely.

2x^2y-18y

Answers

Answer 1

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,

a2-b2=(a+b)(a−b) where a=x and b=3.2y(x+3)(x−3)

Step-by-step explanation:

hope this helps!!!


Related Questions

It would be very appreciated mister

Answers

89.95

Steps are on paper.

It takes Diego 130 of an hour to complete a lap on a circular bike track. The track is 15 mile long. What is Diego’s bike speed?

Answers

Answer:

8 2/3 per mile

Step-by-step explanation:

130 / 15 = 8 2/3

Hope that helps!

find the
value of
x if
3^x=3^2020+3^2017/3^2017+3^14​

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! ASAPPPP

DIVIDING EXPONETS

Answers

Here is the answer
I can’t seem to do the symbols here so the answer is in the picture.

Answer:

[tex]-0.5n^{4}[/tex] or [tex]-\frac{1}{2} n^{4}[/tex]

Step-by-step explanation:

To simplify a dividing exponent, use the "Quotient of Powers" law: [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]. In this situation, the equation would be: [tex]\frac{-9}{18} n^{6} -n^{2}[/tex] or [tex]-0.5n^{4}[/tex] (-0.5 is also [tex]-\frac{1}{2}[/tex]).

Hope it helps and is correct!

89+67
berapakah jawapan nya​

Answers

Answer:

156

Step-by-step explanation

fgcfgvhvcfgvxxbbhhcx

Answer:

Jawapan kepada 89 + 67 = 156

Solve for x : 80 + x = 100 - 14

Answers

Answer:

x=6

Step-by-step explanation:

100-14=86

86-80=6

A rectangular garden has a length of 8 feet and a width of 5 feet. The entire garden
is surrounded by walkway of uniform width. What does the algebraic expression
(2w+8)(2w+5) represent in this context?

A. the area of the garden only
B. the total area of the garden and walkway
C. the perimeter of the garden only
D. the perimeter of the walkway only

Answers

Answer:

b

Step-by-step explanation:

a-3.2=5.5 what does a equal??

Answers

Answer:

2.3

EDIT ITS 8.7 SEE THIS IS WHY YOU CANT TRUST ME

Step-by-step explanation:

Answer:

8.7

Step-by-step explanation:

just add 5.5 and 3.2

Can u answer these for me with the work shown

Answers

Answer:

[tex]\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}= \frac{(x+3)}{x}[/tex]

[tex]\frac{3x^2 - 5x - 2}{x^3 - 2x^2} = \frac{3x + 1}{x^2}[/tex]

[tex]\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}=-\frac{5}{2x}[/tex]

[tex]\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x} = \frac{-(x-3)^2}{25}[/tex]

[tex]\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}= x +1[/tex]

[tex]\frac{9x^2 + 3x}{6x^2} = \frac{3x + 1}{2x}[/tex]

[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x} = 3x[/tex]

Step-by-step explanation:

Required

Simplify

Solving (1):

[tex]\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}[/tex]

Factorize the numerator and the denominator

[tex]\frac{x^2(x + 2) -9(x+2)}{x(x^2-x-6)}[/tex]

Factor out x+2 at the numerator

[tex]\frac{(x^2 -9)(x+2)}{x(x^2-x-6)}[/tex]

Express x^2 - 9 as difference of two squares

[tex]\frac{(x^2 -3^2)(x+2)}{x(x^2-x-6)}[/tex]

[tex]\frac{(x -3)(x+3)(x+2)}{x(x^2-x-6)}[/tex]

Expand the denominator

[tex]\frac{(x -3)(x+3)(x+2)}{x(x^2-3x+2x-6)}[/tex]

Factorize

[tex]\frac{(x -3)(x+3)(x+2)}{x(x(x-3)+2(x-3))}[/tex]

[tex]\frac{(x -3)(x+3)(x+2)}{x(x+2)(x-3)}[/tex]

Cancel out same factors

[tex]\frac{(x+3)}{x}[/tex]

Hence:

[tex]\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}= \frac{(x+3)}{x}[/tex]

Solving (2):

[tex]\frac{3x^2 - 5x - 2}{x^3 - 2x^2}[/tex]

Expand the numerator and factorize the denominator

[tex]\frac{3x^2 - 6x + x - 2}{x^2(x- 2)}[/tex]

Factorize the numerator

[tex]\frac{3x(x - 2) + 1(x - 2)}{x^2(x- 2)}[/tex]

Factor out x - 2

[tex]\frac{(3x + 1)(x - 2)}{x^2(x- 2)}[/tex]

Cancel out x - 2

[tex]\frac{3x + 1}{x^2}[/tex]

Hence:

[tex]\frac{3x^2 - 5x - 2}{x^3 - 2x^2} = \frac{3x + 1}{x^2}[/tex]

Solving (3):

[tex]\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}[/tex]

Express x^2 - 9 as difference of two squares

[tex]\frac{6 - 2x}{x^2 - 3^2} * \frac{15 + 5x}{4x}[/tex]

Factorize all:

[tex]\frac{2(3 - x)}{(x- 3)(x+3)} * \frac{5(3 + x)}{2(2x)}[/tex]

Cancel out x + 3 and 3 + x

[tex]\frac{2(3 - x)}{(x- 3)} * \frac{5}{2(2x)}[/tex]

[tex]\frac{3 - x}{x- 3} * \frac{5}{2x}[/tex]

Express [tex]3 - x[/tex] as [tex]-(x - 3)[/tex]

[tex]\frac{-(x-3)}{x- 3} * \frac{5}{2x}\\[/tex]

[tex]-1 * \frac{5}{2x}[/tex]

[tex]-\frac{5}{2x}[/tex]

Hence:

[tex]\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}=-\frac{5}{2x}[/tex]

Solving (4):

[tex]\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x}[/tex]

Expand x^2 - 6x + 9 and factorize 5x - 15

[tex]\frac{x^2 -3x -3x+ 9}{5(x - 3)} / \frac{5}{3-x}[/tex]

Factorize

[tex]\frac{x(x -3) -3(x-3)}{5(x - 3)} / \frac{5}{3-x}[/tex]

[tex]\frac{(x -3)(x-3)}{5(x - 3)} / \frac{5}{3-x}[/tex]

Cancel out x - 3

[tex]\frac{(x -3)}{5} / \frac{5}{3-x}[/tex]

Change / to *

[tex]\frac{(x -3)}{5} * \frac{3-x}{5}[/tex]

Express [tex]3 - x[/tex] as [tex]-(x - 3)[/tex]

[tex]\frac{(x -3)}{5} * \frac{-(x-3)}{5}[/tex]

[tex]\frac{-(x-3)(x -3)}{5*5}[/tex]

[tex]\frac{-(x-3)^2}{25}[/tex]

Hence:

[tex]\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x} = \frac{-(x-3)^2}{25}[/tex]

Solving (5):

[tex]\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}[/tex]

Factorize the numerator and expand the denominator

[tex]\frac{x^2(x - 1) -1(x - 1)}{x^2 - x-x+1}[/tex]

Factor out x - 1 at the numerator and factorize the denominator

[tex]\frac{(x^2 - 1)(x - 1)}{x(x -1)- 1(x-1)}[/tex]

Express x^2 - 1 as difference of two squares and factor out x - 1 at the denominator

[tex]\frac{(x +1)(x-1)(x - 1)}{(x -1)(x-1)}[/tex]

[tex]x +1[/tex]

Hence:

[tex]\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}= x +1[/tex]

Solving (6):

[tex]\frac{9x^2 + 3x}{6x^2}[/tex]

Factorize:

[tex]\frac{3x(3x + 1)}{3x(2x)}[/tex]

Divide by 3x

[tex]\frac{3x + 1}{2x}[/tex]

Hence:

[tex]\frac{9x^2 + 3x}{6x^2} = \frac{3x + 1}{2x}[/tex]

Solving (7):

[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x}[/tex]

Change / to *

[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} * \frac{x}{x-1}[/tex]

Expand

[tex]\frac{x^2-2x-x+2}{4x} * \frac{12x^2}{x^2 - 2x} * \frac{x}{x-1}[/tex]

Factorize

[tex]\frac{x(x-2)-1(x-2)}{4x} * \frac{12x^2}{x(x - 2)} * \frac{x}{x-1}[/tex]

[tex]\frac{(x-1)(x-2)}{4x} * \frac{12x^2}{x(x - 2)} * \frac{x}{x-1}[/tex]

Cancel out x - 2 and x - 1

[tex]\frac{1}{4x} * \frac{12x^2}{x} * \frac{x}{1}[/tex]

Cancel out x

[tex]\frac{1}{4x} * \frac{12x^2}{1} * \frac{1}{1}[/tex]

[tex]\frac{12x^2}{4x}[/tex]

[tex]3x[/tex]

Hence:

[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x} = 3x[/tex]

Curved surface area of a cone is 308 cm and its slant height is 14 cm Find.
radius of the base (m) Total surface area of the cone.

Answers

Step-by-step explanation:

tsa= total surface area

csa=curved surface area

answer is in the picture

HELP PLEASE! ( number 7 btw ) please help this if half of my grade

Answers

Answer:

A,B,&E are definitely 7 or more

pls help me plssssss

Answers

Answer:

1

Step-by-step explanation:

It's the correct spelling.

Answer 1 is correct but this is under the wrong category

Which of the following answers would have
no solution?
X=3
5=3
2=2

Answers

Answer:

no entiendo me explican que significa por fa

The answer to the following would be because the others are possible 5=3

HELP 69pts Which comparison is true?
A. 4 B. 4.5 < 718 < 5
C. 8.5 < V18 < 9.5
D. 17 < 118 < 19

Answers

Answer: C

Step-by-step explanation:

Option A is true comparisons among the given option as the number are in increasing order A. 4 < √18 < 4.5 .

To determine if this is true, let's calculate the square root of 18:

√18 ≈ 4.2426

Substituting the value into the comparison:

4 < 4.2426 < 4.5

This statement is true because 4 is indeed less than 4.2426, and 4.2426 is less than 4.5. Therefore, Option A is true.

B. 4.5 < √18 < 5

Option B states that 4.5 is less than the square root of 18, and the square root of 18 is less than 5. We have already determined the value of the square root of 18 as approximately 4.2426. Evaluating this comparison:

4.5 < √18 < 5

This statement is also true because 4.5 is not less than 4.2426, and 4.2426 is less than 5. Therefore, Option B is not true.

C. 8.5 < √18 < 9.5

Option C states that 8.5 is less than the square root of 18, and the square root of 18 is less than 9.5. We have already established the value of the square root of 18 as approximately 4.2426. Evaluating this comparison:

8.5 < √18 < 9.5

This statement is false because 8.5 is not less than 4.2426. Therefore, Option C is not true.

D. 17 < √18 < 19

Option D states that 17 is less than the square root of 18, and the square root of 18 is less than 19. Evaluating this comparison:

17 < √18 < 19

This statement is true because 17 is not less than 4.2426, and 4.2426 is less than 19. Therefore, Option D is not true.

In conclusion, among the given options, Option A is true comparisons:

A. 4 < √18 < 4.5

To know more about comparison click here :

https://brainly.com/question/29072830

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Which comparison is true?

A. 4 <√18 < 4.5

B. 4.5 < √18 < 5

C. 8.5 < √18 < 9.5

D. 17 < √18 < 19

What is the missing value in the image above? *

Answers

Answer:

8

Step-by-step explanation:

because there is nothing to subtract 8 from

Diego has a maximum of $35 from his summer job earnings to buy shorts and socks for soccer. He needs 5 pairs of socks and a pair of shorts. Each pair of socks costs the same. The shorts he wants cost $19.95.

Write and solve an inequality to represent the amount of money Diego can spend on a single pair of socks. Let x represent the price of one pair of socks.

Answers

Answer:

The inequality to represent the amount of money Diego can spend on a single pair of socks, 'Y', is;

Y ≤ $3.07

Step-by-step explanation:

The parameters for the maximum earnings and the number a=of socks for soccer Diego can buy are;

The maximum amount Diego has, A = $35

The cost of the shorts Diego wants, S = $19.95

The number of pairs of socks Diego needs, n = 5 pairs

Let the

Given that, 'x', represents the price of a pair of socks, we have, the inequality to represent the amount of money Diego can spend on a single pair of socks, 'Y', is given as follows;

Y ≤ (A - S)/n

Plugging in the known values of 'A', 'S', and 'n', we have;

Y ≤ (35 - 19.65)/5 = 3.07

∴ Y ≤ $3.07

A rectangle has a length of 2y inches and a width of y - 4 inches. If the perimeter of the rectangle is 22 inches, what is y? What is the length? What is the width?

Answers

P = 2( l + w)
Length: 2y
Width: y - 4
P= 22 inches
2(2y) + 2(y - 4) = 22
4y + 2y - 8 = 22
4y + 2y = 6y and add (-8) on both sides of the equation to equal: 6y = 30
Divide 6 from both sides of the equation and you get: y = 5
Check:
4(5) + 2(5) - 8 = 22
20 + 10 - 8 = 22
30 - 8 = 22 ✅

Complete the statement. Round to the nearest hundredth if necessary.

0.3 km ≈ ? mi

Answers

Answer:

0.186 mile rounded = 0.19

Step-by-step explanation:

the answer is 0.19

Albert mixes 10 grams of 15% sugar and 25 grams of 10% sugar syrup. How many grams of sugar does the mixture contain?

Answers

Answer:

4 grams

Step-by-step explanation:

Find how many grams of sugar are in each mixture:

10(0.15)

= 1.5

25(0.1)

= 2.5

Add these together:

1.5 + 2.5 = 4

So, the mixture contains 4 grams of sugar

just answer please hurry

Answers

Answer:

2.7 pages and 1.7 pounds of rice

Step-by-step explanation:

2.7 pages in one minute because 27/10=2.7

and 1.7 pounds of rice can be purchased for a dollar because 15/9 is about 1.7

OML PLEASE HELP! GIVING BRAINLIEST PLEASEE. Instruction are to answer all 3 questions naming their angle 4 ways. PLEASE

Answers

Answer: where is the image if there is ment to be one

Step-by-step explanation:

180:60 in its simplest form

Answers

Step-by-step explanation:

here is it your

Was it helpful?

comment down

If there is any kind of suspicious mistake

then sorry

The correct answer is 3:1

Question 1 of 5
What is the circumference of a circle with a diameter of 6 feet? Use 3.14 for tt.

A. 18.84 ft

B. 28.26 ft

C. 37.68 ft

D. 9.42 ft

Answers

The Answer for your problem is A

Answer:

The answer is A. 18.84

Step-by-step explanation:

Hope this helps =)

A triangle is translated by using the rule (x,y) (x-4,y+1). Which describes how the figure is moved?​

Answers

left 4 and up 1. x means left and right , y means up and down. x-4 would be left 4, y+1 would be up 1. :)

Answer:

four units left and one unit up

Step-by-step explanation:

this is because x is always horizontal and y is always vertical

Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with multiplicity 2?

Answers

Answer:

(D)

Step-by-step explanation:

If it has a leading coefficient of 1, then it can not (A) or (B) because they have a two in front of it. Next, we can check the roots -2 and 7. -2 goes with (x+2), while 7 goes with (x-7). Therefore, you can already see that the answer is (D). To make sure. let us check the root 5 with multiplicity of 2. 5 goes with (x-5), implying that there must be 2 (x-5)'s. Only (D) satifies that as well, so the answer must be (D).

Answer:

D on edge

Step-by-step explanation:

Nina uploaded a funny video on her website, which rapidly gains views over time.
The relationship between the elapsed time, ttt, in days, since Nina uploaded the video, and the total number of views, V(t)V(t)V, left parenthesis, t, right parenthesis, is modeled by the following function:
V(t)=500⋅(1.8)t
Complete the following sentence about the daily percent change in the views of the video.

Answers

Answer: 80% views are added

Step-by-step explanation:

The required  daily percent change in the views of the video is 50%.

Nina uploaded a funny video on her website, the relationship between the elapsed time t, and number of views. V(t) is V(t)=500⋅(1.8)t.

What is rate of change?

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
V(t)=500⋅(1.8)t
The slope of the given relationship will describe the the daily percent change in the views of the video i.e.
m = 500*1.8
m = 900
since the rate of increase in views in each day is by 900.


Now the percentage change per day.
= 900/1800 x 100
= 50 %

Thus, the required  daily percent change in the views of the video is 50%.

Learn more about rate of change here: https://brainly.com/question/13103052

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tan^2 30 +tan ^2 45+tan^2 60​

Answers

13/3 = 4.333

Step-by-step explanation:

tan 30 = 1/√3tan 45 = 1tan 60 = √3

= tan² 30 + tan² 45 + tan² 60 = ( 1 /√3 )² + ( 1 )² + ( √3 )² = ( 1 / 3 ) + ( 1 ) + ( 3 ) = ( 1 + 3 + 9 ) ÷ 3 = 13 ÷ 3 = 4.333

MARK ME AS BRAINLIST

A family smoothie recipe calls for strawberry juice and apple juice. This equation represents the proportional relationship between the number of cups of strawberry juice (s) and apple juice (a) in the recipe.​

Answers

Answer:

21

Step-by-step explanation:

21 divided by 7 is three: to the third power of 11 so your answer is 21, I think

A number cube is rolled 24 times and lands on 2 four times and on 6 three times.
Find the experimental probability of landing on a 2.
12

Answers

Answer:

1/6 times the number cube wil land on 2

Step-by-step explanation:

FIND THE DOMAIN AND RANGE!!!!

Answers

For the domain, you would find that all the numbers that go across in the x axis. In this case -3 is less than or equal to x which is less than or equal to 4. Same with the range, different numbers. -3 is less than or equal to y which is less than or equal to 2. Hope this helped!
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Please help this is worth 15 points! Solve in y=mx+b from! What are states rights?A. The powers that the constitution gives to the federal government B. The powers that are not specifically assigned to the federal government C. The powers that apply only within the states themselvesD. The powers that are prohibited states by the constitution Determine if the lines are parallel, perpendicular or neither. Show all work.x - 5y = 30 and 10y = 2x + 90 Sunjai leaves a tip of $4 for his meal at the local burger place. His original meal cost him $18. What was his percent for the tip? Pls, I need help with this! Biology Thank you :) find the value of Tan 45 A farmer bought three seeds ,the probability that each of them germination is 3/4.If he plant all of them,find the probability that only one of them germinate when does monsoon being in Nepal? please help ::( i wanna pass w good grades what are two roles of bacteria in a nitrogen cycle PLEASE HELP QUICK which statement describes a primary difference between an electromagnetic wave and mechanical wave?A. electromagnetic waves can travel through empty spaceB. electromagnetic waves can be transverse longitudinal or surface wavesC. electromagnetic waves can only travel through solids liquids or gasesD. electromagnetic waves need a medium to transfer energy Which statement best describes an advantage of indirect democracy over direct democracy? O A. It can better prevent political leaders from serving their own interests. B. It can help citizens feel more connected to the government. C. It can be more responsive to the interests of citizens. D. It can increase the efficiency of decision making. SUBMIT 9) 5xy+10x ?????????????????? Yolanda has 1/6 cup ladle that she uses to pour gravy over potatoes she uses one full ladle for each serving for each server potato A particular country has 60 total states. If the areas of all 60 states are added and the sum is divided by 60, the result is 187,626 square kilometers. Determine whether this result is a statistic or a parameter. Read the following article about food.one the opposite page, write a summary about modern food waste and about the traditional ways that food can be preserved. Your summary should be about 100 words long ( and no longer than 120 words long). You should use your own words as far as possible. CAN YOU PLEASE HELP, it's due after 3 hours:( Bir saynn 2 bl 5 'sinin 3 eksii, bu saynn eyreine eittir.Buna gre bu say katr? What 5 divided by 4.25. Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured, and the scientists realize that the gas is leaking over time in a linear way. Its mass is leaking by 9.7 grams per minute. Eight minutes since the experiment started, the remaining gas had a mass of 339.5 grams. Let x be the number of minutes that have passed since the experiment started, and let y be the mass of the gas in grams at that moment. Use a linear equation to model the weight of the gas over time. a. This line's slope-intercept equation is ___________b. 31 minutes after the experiment started, there would be ____________ grams of gas left. c. If a linear model continues to be accurate,______________ minutes since the experiment started, all gas in the container will be gone. what value is equivalent to