How would we know the gcf of 4xy+8x^2y-24x^4y^5​

Answers

Answer 1

9514 1404 393

Answer:

  4xy

Step-by-step explanation:

List the prime factors of each term.

4xy = 2·2·x·y8x^2y = 2·2·2·x·x·y24x^4y^5 = 2·2·2·3·x·x·x·x·y·y·y·y·y

Identify a factor that appears in each list. Cross it off of each list and add it to your list of "output" factors. Repeat until you run out of factors that appear in all of the lists.

You should quickly determine that all of the factors of 4xy appear in both other lists. That is the GCF. When you have exhausted the factors of 4xy, there are no more possible common factors.

  GCF = 4xy

Then the expression can be factored as ...

  = 4xy·(1 +2x -6x^3y^4)

_____

Additional comment

If you use exponents to simplify writing repeated multiplication, you will find that the GCF has the factors with the lowest exponent. Here, the lowest power of 2 is 2^2 in 4xy; the lowest exponents of x and y are 1, also in that term.


Related Questions

If the diameter of a circle is increased by 6 centimeters, what is the increase in the circumference of the circle?

Answers

Answer: 12[tex]\pi[/tex] cm

Step-by-step explanation:

If the diameter of a circle increased by 6 centimeters it would be 12[tex]\pi[/tex] cm   because you still need to multiply 12 and [tex]\pi[/tex] to get your answer for the increase of the circumference.

If these springs aren’t under the rocking chair and there’s none will you end up falling out of the rock chair when your sitting on it?
Answer ASAP

Answers

Yes because then there would be no support therefore ya know you’d fall to the ground.

TWO DVDs and one videocassette tape cost $72. One DVD and two videocassette tapes
cost $57. What is the price of each item?

Answers

Answer:

dvd cost 36 dollars

casette costs 10.5 dollars

What system of linear inequalities is shown in the graph?



Enter your answers in the boxes.
85 points -

Answers

Answer:

y ≥ -1/2x + 2y > 2x - 3

Step-by-step explanation:

Find equations of each line using two points on each and then determine the inequalities.

Line 1

Points

(0, 2) and (2, 1)

The slope is:

m = (1 - 2)/2 = -1/2

The y -intercept is 2.

The line is:

y = -1/2x + 2

The shaded region is to the right and the line is solid, so the inequality is:

y ≥ -1/2x + 2Line 2

Points:

(0, -3) and (2, 1)

The slope is:

m = (1 - (-3))/2 = 2The y- intercept is -3

The line is:

y = 2x - 3

The shaded region is to the left and the line is not solid, so the inequality is:

y > 2x - 3

How do I graph y=2 on a graph

Answers

Answer:

you put a line on the y axis at y 2 going side to side

Step-by-step explanation:

Answer:

put a horizontal line across y=2 and thats it

Step-by-step explanation:

Highest common factors of 42,72,and 56

Answers

Answer: 8

Step-by-step explanation:

please give me a brainliest answer

Suppose that f(x) = 3x + 5 and g(x) = -2x + 15
A: Solve f(x)=0
B:Solve f(x) < 0
C:Graph y = f(x) and y = g(x) and label the point that represents the solution to the equation f(x) = g(x)


In parts a-f use the following figure (graph shown in picture)

A: Solve g(x) = 20
B:Solve g(x) = 60
C: Solve g(x) = 0
D:Solve g(x) > 20
E: Solve g(x) _< 60
F:Solve 0 < g(x) < 60

In parts A and B, use the following figure (graph shown in picture)

A:Solve the equation f(x) = g(x)
B: Solve the inequality g(x) < f(x) _< h(x)

Answers

Answer:

wait I am looking for solution don't report me

answer in this linkhttps://www.chegg.com/homework-help/questions-and-answers/1-suppose-f-x-3x-5-g-x-2x-15-solve-f-x-0-b-solve-f-x-0-c-solve-f-x-g-x--d-solve-f-x-g-x--e-q84252438

Find the H.C.F and L.C.M of 65 and 105​

Answers

Answer:

HCF of 105 and 65 is 5.

LCM of 65 and 105 is 1365.

Answer:

H.C.F = 5

L.C.M = 1365

please give me a brainliest answer

Which of the following rules describes the function graphed below

Answers

Answer:

Output = (0.5)(Input) + 1.5

Step-by-step explanation:

input = 1 , output = (0.5)(1) + 1.5 = 2

input = 3 , output = (0.5)(3) + 1.5 = 3

input = 5 , output = (0.5)(5) + 1.5 = 4

input = -1 , output = (0.5)(-1) + 1.5 = 1

hope it helps mark as brainliest pls

What is negative 12 minus negitive 5 in kcc

Answers

Answer:

-7

Step-by-step explanation:

The problem is asking:

What is -12-(-5)

Remember that two minuses right next to each other turn it into a plus.

Therefore,

-12-(-5) = -7

Need help with questions
2. and 3.

Answers

9514 1404 393

Answer:

  2)  x = 7

  3)  x = 5

Step-by-step explanation:

When a transversal crosses parallel lines, all of the acute angles are congruent, and all of the obtuse angles are congruent. When it crosses at right angle, all of the angles are right angles.

2) All of the angles are right angles.

  11x +13 = 90

  11x = 77 . . . . . . subtract 13

  x = 7 . . . . . . . divide by 11

__

3) The two marked angles are acute.

  16x = 80 . . . . the acute angles are congruent

  x = 5 . . . . . . divide by 16

i put brainliest now can u help?

Answers

Answer:

Check my previous answer but here you go:

Step-by-step explanation:

-Chetan K

0,1,3,14,28,45 điền số tiếp theo

Answers

Answer: [tex]67[/tex]

Step-by-step explanation:

[tex]0+1+3=4, \\\\ 4+10=141+3+4=8 \\8+20=283+4+8=15 \\\\ 15+30=454+8+15=27 \\\\ 27+ 40=67[/tex]

If m < C is greater than m < E, then Line segment A B is ________ Line segment D F.
congruent to


longer than


shorter than


the same length as

Answers

Answer:

longer than

Step-by-step explanation:

Answer:

longer than

Step-by-step explanation:

branlest po


The area of a rectangle is 33 m”, and the length of the rectangle is 5 m less than double the width. Find the dimensions of the
• rectangle

Answers

Answer:

Width: 5:5

Length: 6

Area: (6) (5.5 = 33m^2

Step-by-step explanation:

Width: x

Length: 2x - 5

(2x-5)(x) = 33

2x^2 - 5x - 33 = 0

(2x - 11) (x + 3) = 0

2x - 11 = 0

x = 11/2 = 5.5

x + 3 = 0

x = -3

[(2*5.5)-5](5.5) = 33

If m of 8 = 23 degrees, find each measure. Give your reasoning. (Just need the rest of the answers.)

Answers

C.) Vertical Angles Theorem
D.) Is actually Vertical Angles Theorem as well.
E.) Alternate Interior Angles Theorem
F.) Corresponding Angles Theorem
G.) Corresponding Angles Theorem

Marcus has a part-time job at the water park. He makes between $66.89 and $72.37 a day. Which is a reasonable amount of money that Marcus makes for working 4 days a week for 9 weeks?
A.
$2,487
B.
$250
C.
$2,369
D.
$2,641

Answers

D is the closest to the real answer so its D!


2. Railyn is saving for a laptop computer. She already has
$800 saved and plans to save $50 a week from her baby
sitting money. If the laptop she wants costs $1,150, how
many weeks will it take her to save enough to buy it?
a. Define the variable and represent the situation with
an equation.

Answers

x = number of weeks which is some positive whole number

50x = amount saved after x weeks, when saving $50 per week

50x+800 = add on the 800 she already has

The expression 50x+800 is the total money saved. We set this equal to the 1150 to set up the equation we're after

Answer:  50x+800 = 1150

The table below represents a linear function f(x) and the equation represents a function g(x):


x f(x)

-1 -9

0 -1

1 7


g(x) = 3x-2


Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).


Part B: Which function has a greater y-intercept? Justify your answer.


Please hurry as I only have a few hours left too turn in :) Thank you.

Answers

Answer:

Use 2 points from he table to find the slope of f(x):

(0, -1) and (1, 7)

The slope is:

m = (7 - (-1))/1 = 8

The y - intercept is b = -1 according to point (0, -1).

Part A

The lines are:

f(x) = 8x - 1g(x) = 3x - 2

The f(x) has greater slope since 8 > 3 and greater y-intercept since -1 > - 2.

Part B

See above

Can somone llsss hell plssss

Answers

Answer:

D

Step-by-step explanation:

a hearty breakfast cause it sound more better

Find the measure of the missing angles.

Answers

Answer:

x=63º

y=27º

Step-by-step explanation:

x+27=90º

x=63

ASAP

Diego deposits $4200 into a savings account that pays 5% simple interest. He decides not to touch the money until it doubles. How many years will Diego have to keep the money in the account?

Answers

Answer:

It would take 20 years for it to double

Step-by-step explanation:

5% of 4200 is 210 so then divide 4200 by 210 to find the number of years it will take for it to double and you get 20

This section is worth 5 points of 25 total.
Find the least common multiple. Drag the item from the item bank to its corresponding match.
ITEM BANK: Move to go
5, 15, and 35
drag and drop answer here
105
8, 12, and 22
126
drag and drop answer here
264
3,7, and 18
drag and drop answer here
42
5,6, and 7
drag and drop answer here
10
3,6, and 7
drag and drop answer here
ge 1

Answers

Answer:

23457385629865309259545935

Step-by-step explanation:

a rectanglr has a perimeter of 18 cm. its length is 5 cm greater than its width. find the dimensions.

Answers

L=7 w=2

First write an equation to find the dimensions. You know l=5+w and p=18. Using this you can create the equation:
18=2(5+w)+2w

The 2s come from there being 2 sides that are the length and 2 sides that are the width.

Next solve for w. Distribute the 2, then add the common terms, next subtract the 10 and divide by 4.
18=10+2w+2w
18=10+4w
8=4w
W=2

Now that you have the width you can do one if two things to find the length. Either use the equation p=2l+2w or l=5+w

P=2l+2w
18=2l+2(2)
18=2l+4
14=2l
L7

L=5+w
L=5+2
L=7

Please help! I must match the numbers on the left with all appropriate number sets on the right . A number on the left may match with more than one number set on the right. I been stuck on this forever

Answers

Answer:

[tex]\sqrt{5}[/tex] = Irrational

6 = Natural, Whole, Integer, Rational

[tex]\frac{1}{2}[/tex] = Rational

-2 = Integers, Rational

Explanation:

See attached photo! (it is hard to explain in words haha)

      Side note: All natural numbers are rational numbers, but not all rational numbers are natural numbers (this applies differently to all sections, like all integers are whole, but not all whole are integers, etc)

      Side note #2: Whole numbers are just natural numbers AND zero

Hope this is correct (or at least helps), have a nice day! :D

Answer:

see picture below,they’re different numbers but the rules still apply fractions are the same as decimals and obviously negatives match up w negatives so on so forth

Step-by-step explanation:

Help me pls 20 POINTS

Answers

Answer:

bottom =80m^2

Side =50m^2

triangle = 3 ×8 ×5

Solve 7,124 Divided by 26 =_______ using standard algorithm

Answers

Answer:

7,124 divided by 26= 185,224

Step-by-step explanation:

Which of the following functions represent exponential decay? f(x)=3(1.7)^x-2
f(x)=3(1.7)^-2x
F(x)=3^5(1/4)^x
F(x)=3^5(2)^-x

Answers

Answer:

F(x)=3^5(1/4)^x

Step-by-step explanation:

By the exponential decay definition: y = ab×

b determines the rate at which the graph grows: if b > 1, the function will increase. if 0 < b < 1, the function will decrease.

There is only (1/4)ˣ :  where 0<1/4<1 fit the definition, so F(x)=3^5(1/4)^x is the choice

----------------------------------------------------------------------------------------------------------

But.. look at the table attached, the f(x)=3(1.7)^-2x and F(x)=3^5(2)^-x also showed pattern of decay. It can verified from their graphs. (Try plot it with your calculator)

Answer:

B, C, D

Step-by-step explanation:

what is the property of -49 + 49 = 0​

Answers

Sorry I don't know the answer...

Sigma notation of 8+4+2+1+1/2+…

Answers

Answer:

-1 have a great day ahead

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