Factor each polynomial.

15d -12cd^2

Answers

Answer 1

Answer:

3d(5-4cd)

Step-by-step explanation:

15d - 12cd²  (we see that the highest common factor of 15 and 12 is 3, hence we can factor 3 out)

= 3 (5d - 4cd²)      (we also notice that d appears in both terms in the parantheses. hence we can also factor d out)

= 3d(5-4cd)


Related Questions

(4 root 6 - 2root7) (4root6 +2root7)​

Answers

2828282j dkdkrjk fififi foroeowococ

You want to paint a piece of pottery at an art studio. the total cost is the cost of the piece plus an hourly studio fee.the price for the studio A is shown at the right you spend a total of $46 on the project how many hours did you spend at the studio?

A) define the variable: x=
B) write an equation
C) answer the question include the units

Answers

Answer:

5 and 3/5

Step-by-step explanation:

sorry if it is wrong

Ms. Smith has 28 sixth graders and 35 seventh graders for Math. If she wants to break the two grades into identical groups without any students left over, how many students will be in each group? *

Answers

Answer:

58

Step-by-step explanation:

Round to the nearest whole number.
432.846

Answers

Answer: 433 of course

432 is the whole number and 846 is the decimal,

the number closest to the whole number is 8

we can only round the number forward if the number is 5 or more than 5 (6,7,8,9)

so 432.856 rounds to 433

Answer:

433

Step-by-step explanation:

846 is closer to 433 than it is to 432.

So, the answer is 433.

Hope this helps!

If miley has 200 pencils and Katie has 300 more pencils then how many more does Katie have then miley

Answers

Answer: 300

Step-by-step explanation: 300+200=500

then 500-200=300

Answer:

answer is 300

Step-by-step explanation:

it explains that she has 300 more

Is 9.45 bigger than 0.945

Answers

Step-by-step explanation:

Yes it is

20 Characters needed but thank me later. Wouldnt mind if you marked me as brainliest

Yes yes yes yes yes yes yes yes yes yes

Solve equation.

-3x + 1 + 10x = x + 4

Answer: x=1/2

(for anyone who needs the answer)​

Answers

Answer:

[tex]x=1/2[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-3x+1=10x=x+4[/tex]

First, combine like terms on the left:

[tex]7x+1=x+4[/tex]

Subtract 1 from both sides. The left cancels:

[tex](7x+1)-1=(x+4)-1\\7x=x+3[/tex]

Subtract x from both sides. The right cancels:

[tex](7x)-x=(x+3)-x\\6x=3[/tex]

Divide both sides by 6:

[tex](6x)/6=(3)/6\\x=1/2[/tex]

So, our answer is 1/2

Answer:

x = 1/2

Step-by-step explanation:

-3x + 1 + 10x = x + 4            ⇒ simplify left side7x + 1 = x + 4                      ⇒ subtract x + 1 from both sides7x - x = 4 - 1                        ⇒ simplify6x = 3                                 ⇒ divide both sides by 6x = 3/6                                ⇒ simplifyx = 1/2                                 ⇒ answer

Write an inequality that models a real world situation. Describe your situation and what a variable X represents

Answers

Answer:

The variable X represents:

X = the number of books

The real world situation can be:

1.) Jennie reads books. She reads each books for

2.) Jennie wants to read book at least 5 books today.

Write an inequality that models the minimum number of books that Jennie needs to read.

The inequality for this situation is:

[tex]2x \: \geqslant \: 5[/tex]

y+6x=11; x = -2,0, 4
Solve the equation for y.

Answers

If you use x=-2, y=23.
If you use x=0, y=11
If you use x=4, y=-13

Hope this helps
y=23 when x=-2
y=11 when x=0
y=-13 when x=4

A diver is 19 meters below the surface of the water. Use an integer to represent how far the diver will need to travel to reach the surface.

Answers

Since the diver is 19 metres below the surface of the water, then he will need to travel 19 metres to reach the surface.

Given: B = 7 −3 5 −1 C = 1 −1 13 −5 Solve the equation: 2X + B = C X =

Answers

Answer:

Actually, this is referring to matrix equations, so it's -3  1  4  2-

Step-by-step explanation:

Hey, so I got this from the comments and wanted it to be a real answer, so please give them lot's of thanks if you can. They are keatonmorehouse0727.

What is the distance between points F(2, 11) and G(5, 16)? Round off to the nearest whole number

Answers

Answer:

           d = 5

Step-by-step explanation:

[tex]d_{FG}=\sqrt{(x_G-x_F)^2+(y_G-y_F)^2}\\\\d_{FG}=\sqrt{(5-2)^2+(16-11)^2}=\sqrt{3^2+4^2}=\sqrt{25}=5[/tex]


3(20 + 4) =
Help me pleases

Answers

Answer:

72 is your answer mate...

what are the solutions of x^2 - 4 = 0

Answers

It is a difference of squares, so we can factor this to

[tex](x+2)(x-2)=0[/tex]

Then, we can solve for [tex]x[/tex].

[tex]x=-2,2[/tex]

Hope this helps.

頑張って!

(-4, 6) and (3.-7)
Find the distance between each pair of points

Answers

Answer:

[tex]d=\sqrt{218}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug our coordinates into the distance formula to find the distance between the points:

[tex]d=\sqrt{(3 - (-4))^2+(-7 - 6)^2}[/tex]

[tex]d=\sqrt{(3 +4)^2+(-13)^2}[/tex]

[tex]d=\sqrt{(7)^2+169}[/tex]

[tex]d=\sqrt{49+169}[/tex]

[tex]d=\sqrt{218}[/tex]

What correct equation to find the length of DF in the following diagram

Answers

Answer:

Where is the diagram... I don't see it

Carla withdrew $320 every month for four years to help pay for college how much total money did she withdraw

Answers

Answer:

1280

Step-by-step explanation:

32x4=128

320x4=1280

Yon buys tickets to a concert for himself and a friend. There is a tax of 8% on the price of the tickets and an additional booking fee of $20 for the transaction. Enter an algebraic expression to represent the price per person. Simplify the expression if possible. Use variable t for the price of the 2 tickets in dollars. The algebraic expression is

Answers

Answer:

5.4

Step-by-step explanation:

vhtx

The length of a football field is 120m. what is the length on drawing, if the scale is 1:5m?​

Answers

Answer: I believe its 24 meters.
Explanation: Just divide 120 by 5

Use the diagram to the right a. What algebraic expression represents GK? b. If GK = 24. what are GH and JK? G H J K a What algebraic expression represents GK? GK (Simplify your answer Do not factor)​

Answers

Answer:

Step-by-step explanation:

The question lacks appropriate diagram. Find the diagram attached below;

From the diagram GK = GH+HJ+JK

Given GH = GJ-HJ

GH = 2x+2-x

GH = x+2

HJ = x

JK = HK - HJ

JK = 6x-1-x

JK = 5x-1

GK = x+2+x+5x-1

collect like terms

GK = x+x+5x+2-1

GK = 7x+1

Given GK = 24, then;

7x+1 = 24

7x = 24-1

7x= 23

x = 23/7

Since GH =  x+2

GH = 23/7 + 2

GH 23+14/7

GH = 37/7

Also JK = 5x-1

JK = 5(23/7)-1

JK = 115/7 - 1

JK = 115-7/7

JK = 108/7

please explain the steps in order to solve the equation 2x+5y=28 when x=4

Answers

Answer:

Step-by-step explanation:

Plug in 4 for x

2(4) + 5y = 28

8 + 5y = 28 (subtract both sides by 8)

5y = 20 (divide both sides by 5)

y = 4

The manufacturer's suggested retail price (MSRP) for a particular car is $25,425, and it is expected to be
worth $11,730 in 5 years.
(a) Find a linear depreciation function for this car.
(b) Estimate the value of the car 7 years from now.
(c) At what rate is the car depreciating?
(a) What is the linear depreciation function for this car?
(Simplify your answer. Do not include the $ symbol in your answer.)

Answers

Answer:

(a) The linear depreciation function of the car which gives the worth of the car y after a number of years, t is given as follows;

y = 25,425 - 2,739 × t

(b) The value of the car 7 years from now is $6,252

(c) $2,739 per year

Step-by-step explanation:

The manufacture's suggested retail price (MSRP) for the car = $25,425

The amount the car is expected to be worth in 5 years = $11,730

(a) The linear depreciation is given as follows;

[tex]Depreciation \ Per \ Year \ = \dfrac{Cost \ of \, Asset - Salvage \ Value}{Life \ of \, Asset \ in \ use}[/tex]

Where;

Cost of Asset = $25,425

Salvage Value = $11,730

Life of Asset in use = 5 years

We get;

[tex]Depreciation \ Per \ Year \ = \dfrac{\$ 25,425 - \$11,730}{5} = \$2,739/year[/tex]

Therefore, the linear depreciation function, can be written as follows;

y - 25,425 = -2,739×(t - 0)

y = -2,739·t + 0 + 25,425 = 25,425 -2,739·t

y = 25,425 - 2,739 × t

Where;

y = The expected worth of the car after a given number of years

t = The number of years used for the calculation of the depreciation

(b) The value of the car 7 years from now is given by substitution as follows;

Whet t = 7, we have;

y = 25,425 -2,739·t = y = 25,425 -2,739 × 7 = $6,252

The value of the car 7 years from now = $6,252

(c) [tex]Depreciation \ Per \ Year \ = \dfrac{\$ 25,425 - \$11,730}{5} = \$2,739/year[/tex]

The car is depreciating at a rate of $2,739 per year.

help me pleaseee i dont understand it.

Answers

The first one is terminate. The second one is rational. I hope this helped you! Good luck with school!

are f(x)=1/8x^3 and g(x)=2x^1/3 inverses of each other? Check all that apply.
PLEASE SHOW WORK!
The simplified expression for f(g(x)) is x.
The simplified expression for f(g(x)) is One-fourth x.
The simplified expression for g(f(x)) is 2x.
The simplified expression for g(f(x)) is x.
The functions are inverses of each other.
The functions are not inverses of each other.

Answers

Answer: 1,4,5

Step-by-step explanation:

The correct options are, The simplified expression for g(f(x)) is x.

The functions are not inverses of each other.

What is an inverse function?

First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.

We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.

Given, f(x) = 1/(8x³).

f(x) = 1/(2x)³.

y = 1/(2x)³.

(2x)³ = 1/y.

[tex]2x = \frac{1}{y^\frac{1}{3}}[/tex].

[tex]x = \frac{1}{2y^\frac{1}{3}}[/tex].

[tex]f^{-1}(x) = \frac{1}{2x^\frac{1}{3}}[/tex] and g(x) = [tex]2x^\frac{1}{3}[/tex] so, they are not inverses of each other.

Now, f(g(x)) = [tex]\frac{1}{8((2x)^\frac{1}{3})^3}[/tex].

f(g(x)) = 1/16x.

g(f(x)) = [tex]2(1/8x^3)^\frac{1}{3}[/tex].

g(f(x)) = x

learn more about the inverse of functions here :

https://brainly.com/question/2541698

#SPJ2

WILL MARK YOU BRAINLIEST

Answers

Answer:

26. QOR = 59 - 24

= 25

27. POS = 19+31+15

=65

28. ROS = 46 - (61-28)

= 13

so nobody is smart enough to answer my question?

Answers

That is ver very sad

yes,

abcdefghijklmnopqrstuvwxyz

Alex and his friends are studying for a geometry test and one of the main topics covered is parallel lines in a plane. They each write down what they think it means for two distinct lines in a plane to be parallel

Answers

Answer:

i rthink i understand your question but im not sure- I think you forgot to add a little bit of the question but im pretty sure your question is what  is a parrllel line. IM going to answer that sorry if its wrong but im trying to be helpfull.

Step-by-step explanation:

Parallel lines are two lines that never intersect they start off beside each other and they stay where you can conect them with one line but they will never intercet.

---------

and

----------

Answer:

Literally, parallel lines are lines that extend in both directions without meeting.

The three definitions of parallel lines are correct, but Rachel's and Briana's definitions have flaws

Step-by-step explanation:

                            Rachel

The definition implies that two lines are said to be parallel if they are both perpendicular to another line.

This definition is correct, but the definition brings a new concept; it introduces the concept of line transversal.

Because the parallel lines can be defined without introducing the concept of line transversal (which was not part of the required definition), then we can conclude that the definition has a drawback.

                                             Alex

Alex's definition is correct, and it has no drawback because the definition can  be applied to concepts where parallel lines are used.

                                            Briana

Here, Brianna introduced the concept of slopes.

Ideally, parallel lines have the same slope; but the concept is limited to slopes only; and cannot be applied to other concepts such as transversal of lines.

Match the equation with its slope and y intercept.​

Answers

Answer:

1.c

2.e

3.d

3.a

5.b

best of luck!

Answer: Answer is in the steps read carefully

Step-by-step explanation:

1.   y = -3x  It has a slope of -3 and y intercept of 0 so it goes with  C

2.  y =2x+ 5   It has a slope of 2 and y intercept of 5 so it goes with  E

3.  y = 1/2x - 3   It has a slope of 1/2 and y intercept of -3 so it goes with  D

4. y= -1x + 2    It has a slope of -1 and y intercept of 2 so it also goes with A

5. y = 1x   It has a slope of 1 and y intercept of 0 so it goes with  B

A cylinder has base radius 4 feet and height 8.5 feet. Find its volume.

Answers

The answer to the question is 34

which graph represents the solution to the inequality y<1/2x-4

Answers

The graph shown in option (B) represents the solution to the inequality y<1/2x-4

Inequality

A relation between two mathematical expressions which are not equal is known as inequality.

Graphing inequalitiesFirst, solve the given inequality so that y is on the left side and everything else is on the right side.Then, plot the graph for the equation.Finally, we will shade above the line for the ">" and below the line for the "<".

Which graph represents y < 1/2x-4?

The inequality symbol is "<" (less than).

So, the line of the graph should be dashed and shaded below the line.

Comparing the graphs given in the question, we can conclude that option (B) is correct.

Hence, the graph in option (B) represents the solution to inequality y<1/2x-4.

Learn more about graphing inequality here - https://brainly.com/question/17136458

#SPJ2

Answer:

B aka y<1/2x-4

Step-by-step explanation:

I did this before

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