How to factorise 9a^2bc^3 -27abc

Answers

Answer 1

Answer:

9abc(ac² - 3)

Step-by-step explanation:

Given polynomial:

9a²bc³ -27abc

Factors of the terms:

9a²bc³ = 3*3*a*a*b*c*c*c27abc = 3*3*3*a*b*c

Common factors of the above:

3*3*a*b*c= 9abc

So the answer:

9a²bc³ -27abc = 9abc(ac² - 3)

Related Questions

The function is for –9 < x < –7. The function is increasing for . The point lies on the graph of the function.

Answers

Answer: the function is constant , the function is increasing for -7< x < -3 , the point (-5,8) lies on the graph of the function.

Edgunity

Answer:

The function is  

✔ constant

for –9 < x < –7.

The function is increasing for  

✔ –7 < x < –3

.

The point  

✔ (–5, 8)

lies on the graph of the function.

Step-by-step explanation:

T is between points P and B.

PB=35 and TB=12.

What is PT?

A. 17
B. 12
C. 57
D. 23​

Answers

The answer is D.23, you subtract 12 from 35

A line segment is also a line but a line with finite length and fixed endpoints. The length of the line segment PT is 23 units. The correct option is D.

What is a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

A line segment is also a line but a line with finite length and fixed endpoints.

Given that point T will lie between points P and B. Therefore, Point T is on the line segment PB. Therefore, it can be said  Thus, we can write,

PB = PT + TB

As given the length of PB is 35 units, the length of TB is 12 units,

35 units = PT + 12 units

35 units - 12 units = PT

PT = 23 units

Hence, the length of the line segment PT is 23 units.

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WILL MARK BRAINIEST. PLEASE HELP!!! question is below

Answers

Answer: -28/6

Step-by-step explanation:

6 ( n + 5 ) = 2

first, distribute "6(n+5)".

6n + 30 = 2

subtract 30 from both sides.

6n = -28

n = -28/6

n= - 14/3 that’s the answer

5x + 3y = -6
3x - 2y = 4

Answers

Answer:

(3x-2y)=-4(5x-3y)=-2

a line segment has one endpoint at the origin (0,0) and one endpoint at (0,6). how long is this segment?

Answers

the segment is 6 units long
(6-0=6)

If BG = 19+ 2w and GC = 5w + 4, then find the value of w.

Answers

Answer:

Step-by-step explanation:

5w + 4 = 2w + 19

3w + 4 = 19

3w = 15

w = 5

What is the value of the expression below when z=6 ?

Answers

Answer:

51

Step-by-step explanation:

[tex]z^{2}[/tex] + 3z - 3

36 + 18 - 3

51

4/5 of the students in
both classes like
frosted flakes. While
1/10 prefer fruit loops.
How many more
students prefer frosted
flakes?

Answers

Answer:

4/5 - 1/10 = 8/10 - 1/10 = 7/10

Step-by-step explanation:

Answer:

The reason why "reposition its product" is the correct answer because Kellogg's is trying to reposition their product in order to make sales. Frosted Flakes was a big time thing for kids, due to the fact that advertisements involved children since Kellogg's target audience were children. Frosted Flakes were pretty much meant for children. Since the product was meant for children, Kellogg's left the people that actually buy the cereal--adults--out of the scene.

Kellogg's releasing advertisements of adults saying how much they loved Frosted Flakes allows viewers to have a thought of going to the store and getting some Frosted Flakes. With the advertisement, they're also trying to target adults because there are a lot of adults in this world, and if they can get adults to buy their product, then their sales will go big. Their goal for the advertisement is to get more sales for the Frosted Flakes product, and they're doing this by having a target audience of adults.

Step-by-step explanation:

17n +5.4 - 3 = 64 solve.
HELP

Answers

Answer:

Hey there!

17n+5.4-3=64

17n+2.4=64

17m=61.6

m=3.623529...

Did you make a typo on the question?

*PLEASE ANSWER , DIFFICULT QUESTION PLEASE* A particular airline offers three free snack options to it's passengers: cookies, chips, and crackers. Along with the snack, passengers are offered two free drink options: soda or water. This is a tree diagram that represents the probability of customers choosing the different snack and drink options. What is the probability of a passenger choosing chips and a soda? a.)25% b.) 33% c.) 50%

Answers

There’s only 6 possible combos, so chips and soda takes up 2 which is 2/6 which is 33 percent

The probability that a particular passenger chooses chips and soda as a snack is 0.25 or 25%.

What is probability?

In mathematics, probability is considered as the chances a specific situation or event occurs.

For example, you can calculate the probability that it rains tomorrow based on general weather patterns.

For example,

if you throw a die, then the probability of getting 1 is 1/6.

Similarly, the probability of getting all the numbers from 2,3,4,5 and 6, one at a time is 1/6.

How to calculate the probability of two events happenning?

Calculate or identify the probability of each event happening.Multiply the probabilities of the events involved.What is the probability of Z event happnening?Probability that a person choses soda: 0.5Probability that a person choses chips: 0.5Now, let's multiply these probabilities:

Now,

Given that:

0.5 x 0.5

= 0.25

= 25% (0.25 x 100)

Hence,  the  probability of a passenger choosing chips and soda as a snack is 0.25 or 25%.

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9.7 x 10^3 in scientific notation

Answers

The answer to the question is 9,700.

A United States senator from Maine wants to find out the opinion of Maine voters on issues concerning education. The office of the senator sends out a survey to state residents who have contacted the senator in the past year. Is this sampling method random? Explain

Answers

It may seem random, but it's heavily biased toward those who participate in politics. It leaves out people who have not contacted the senator. A better method would be to look at voter registration data, and send out surveys to random people on the list.

Which statement best describes Janelle's conclusion? Her conclusion is incorrect because 2x + 10 is not equal to 3x – 5. Her conclusion is incorrect because the angles are not marked; therefore, no conclusion can be drawn. Her conclusion is correct because the value of x is 15. Her conclusion is correct because mAngleLKM + mAngleLKJ = mAngleMKJ.

Answers

Answer:

c

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

what is answer to this −k+3k

Answers

Answer:

2k

Step-by-step explanation:

[tex] - k + 3k[/tex]

Add or subtract the numbers

[tex]2k[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ 2k}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - k + 3k}[/tex]

Collect like terms

⇒2k

Hope I helped!

Best regards! :D

The hypotenuse of a
right triangle is 10 cm.

One of the side lengths is 8 cm.

What is the length of the other side?

Answers

Answer:

6 cm

Step-by-step explanation:

use Pythagorean theorem a² + b² = c²

let c = 10 cm  ,  b = 8 cm

plug in values

a² + 8² = 10²

a² = 10² - 8²

a = [tex]\sqrt{10^2 - 8^2}[/tex]

a = 6 cm

Answer:

6 cm

Step-by-step explanation:

We can use the Pythagorean Theorem to find the length of the missing side.

The Pythagorean Theorem states that the hypotenuse of a right triangle will be [tex]a^2 + b^2[/tex], where a and b are the leg lengths.

Together, we get the formula [tex]a^2 + b^2 = c^2[/tex].

Since we know the hypotenuse (c) and one of the sides (let's say a), we can find the missing side (b) by substituting inside the equation.

[tex]8^2 + b^2 = 10^2\\\\64 + b^2 = 100\\\\b^2 = 100-64\\\\b^2 = 36\\\\b = \sqrt{36}\\\\b=6[/tex]

So the missing side is 6 cm long.

Hope this helped!

If ABCD is an A4 sheet and BCPO is the square, prove that △OCD is an isosceles triangle. And find the angles marked as 1 to 8 without using a protractor

Answers

Answer:

The diagram for the question is missing, but I found an appropriate diagram fo the question:

Proof:

since OC = CD = 297mm Therefore, Δ OCD is an isoscless triangle

∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

∠DOP = 22.5°

∠PDO = 67.5°

∠ADO = 22.5°

∠AOD = 67.5°

Step-by-step explanation:

Given:

AB = CD = 297 mm

AD = BC = 210 mm

BCPO is a square

∴ BC = OP = CP = OB = 210mm

Solving for OC

OCB is a right anlgled triangle

using Pythagoras theorem

(Hypotenuse)² = Sum of square of the other two sides

(OC)² = (OB)² + (BC)²

(OC)² = 210² + 210²

(OC)² = 44100 + 44100

OC = √(88200

OC = 296.98 = 297

OC = 297mm

An isosceless tringle is a triangle that has two equal sides

Therefore for △OCD

CD = OC = 297mm; Hence, △OCD is an isosceless triangle.

The marked angles are not given in the diagram, but I am assuming it is all the angles other than the 90° angles

Since BC = OB = 210mm

∠BCO = ∠BOC

since sum of angles in a triangle = 180°

∠BCO + ∠BOC + 90 = 180

(∠BCO + ∠BOC) = 180 - 90

(∠BCO + ∠BOC) = 90°

since ∠BCO = ∠BOC

∴  ∠BCO = ∠BOC = 90/2 = 45

∴ ∠BCO = 45°

∠BOC = 45°

∠PCO = 45°

∠POC = 45°

For ΔOPD

[tex]Tan\ \theta = \frac{opposite}{adjacent}\\ Tan\ (\angle DOP) = \frac{87}{210} \\(\angle DOP) = Tan^-1(0.414)\\(\angle DOP) = 22.5 ^{\circ}[/tex]

Note that DP = 297 - 210 = 87mm

∠PDO + ∠DOP + 90 = 180

∠PDO + 22.5 + 90 = 180

∠PDO = 180 - 90 - 22.5

∠PDO = 67.5°

∠ADO = 22.5° (alternate to ∠DOP)

∠AOD = 67.5° (Alternate to ∠PDO)

which expressions are equivalent to 2(a+3b)

Answers

Answer:

The answer to which expression is equivalent to 2(a+3b) is 2a+6b

Answer:Do you have a picture of the answers

Step-by-step explanation:

Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the child care cost is accurate?

Answers

Answer:

They are both the same.

Step-by-step explanation:

If you are doing for an hour for Gym B you would do .75 cents for ever 5 minutes of that hour.

60 minutes in an hour so

60/5=12

12*0.75=9.00

So both Gyms are the same.

I am thinking of two numbers, the sum of the two numbers is 11, their product is 24. What Are My Numbers?
Blank 1:
Blank 2:

Answers

Answer:

Hey there!

x+y=11

xy=24

The numbers are 8 and 3.

8 times 3 = 24

8+3=11

Hope this helps :)

Answer: 3 and  8

Step-by-step explanation:

a tram moved downward 15 meters in 5 seconds at a constant rate. what was the change in the team's elevation each second?​

Answers

Answer:  3 meters downward per second

Step-by-step explanation:

If it moved downward 15 meters for every 5 seconds and to find the change in the elevation each second then divide the meters by 5.

15/5 =  3  

3 meters  per second

What is the value of x in this equation: 4x + 5 = 3x + 4? Solve the equation using the algebra tiles.

Answers

Answer:

x = -1

Step-by-step explanation:

4x + 5 = 3x + 4

      -5           -5

4x =    3x -1

-3x =   -3x

1x = -1

x = -1

Answer:

x=-1

Step-by-step explanation:

4x+5=3x+4

subtract 3x from both sides of the equation

4x+5=3x+4

-3x      -3x

x+5=4

subtract 5 from both sides of the equation

x+5=4

 -5    -5

x=-1

if a car travels 400m in 20 seconds how fast is it going ​

Answers

Answer:

44.73 mph

Step-by-step explanation:

Answer:

20 meters per second

Step-by-step explanation:

400m/20s = 20 m/s

what is the solution of the follow inequality-3x+3> or equal to 9

Answers

Answer:

x ≤ - 2

Step-by-step explanation:

Given

- 3x + 3 ≥ 9 ( subtract 3 from both sides )

- 3x ≥ 6

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x ≤ - 2

Answer:

x<or equal to -2

Step-by-step explanation:

-3x>or equal to 9-3

-3x>or equal to 6(dividing both of them by -3)

x<or equal to -2

1. Find x if B is the midpoint of AC
AB = 14 and BC = 2x + 3.

Answers

Answer:

x = 5.5 units

Step-by-step explanation:

Since, B is the midpoint of AC.

[tex] \therefore \: AB = BC \\ 14 = 2x + 3 \\ 14 - 3 = 2x \\ 11 = 2x \\ x = \frac{11}{2} \\ x = 5.5 \: units \\ [/tex]

What is the value of x in 4(x + 7) = 80

Answers

Answer:

[tex]x=13[/tex]

Step-by-step explanation:

So we have the equation:

[tex]4(x+7)=80[/tex]

First, divide everything by 4:

[tex](4(x+7))4=(80)/4[/tex]

Simplify:

[tex]x+7=20[/tex]

Subtract 7 from both sides:

[tex]x=13[/tex]

So our answer is 13 :)

The answer is 13 I believe

what is b in the equation b-8+2b=20

Answers

Answer:

b = 28/3 or 9.3

Step-by-step explanation:

b-8+2b=20

3b-8=20

3b=20+8

3b=28

5(x+9)-2(1-x)=1 equals 1

Answers

Answer:

x= -6

Step-by-step explanation:

5x+45-2+2x=1

7x+43=1

7x= -42

x= -6

Answer:

x=-6

Step-by-step explanation:

[tex]5(x+9)-2(1-x)=1\\5x+45-2+2x=1\\5x+43+2x=1\\7x=1-43\\\frac{7x}{7}=\frac{-42}{7}\\ x=-6[/tex]

Nifal earned 9$ for washing two cars .He recived $1 more for the second car.How much was he paid for washing each car?Which two numbers have a sum of 9$?

Answers

Answer:

Nifal received $ 4 for washing the first car.

Nifal received $ 5 for washing the second car.

4 and 5 have a sum of 9.

Step-by-step explanation:

The problem can be rewritten as follows: Find the sum of two consecutive entire numbers equal to 9. That is:

[tex]x + y = 9[/tex]

[tex]y = x+1[/tex]

Then, by eliminating y:

[tex]x + (x+1) = 9[/tex]

[tex]2\cdot x + 1 = 9[/tex]

Now, let is clear [tex]x[/tex]:

[tex]2\cdot x = 8[/tex]

[tex]x = 4[/tex]

Nifal received $ 4 for washing the first car.

The earning for the second car is: ([tex]x = 4[/tex])

[tex]y = x +1[/tex]

[tex]y = 4 + 1[/tex]

[tex]y = 5[/tex]

Nifal received $ 5 for washing the second car.

4 and 5 have a sum of 9.

Choose the equation that has the
value of the variable furthest from
0 on a number line.
A) -4w= -7
B) 2x=3
C) y-1=-8
D) -1=z+4

Answers

Answer:

  C)  y -1 = -8

Step-by-step explanation:

The solutions to the various equations are ...

  w = -7/-4 = 1.75 . . . . . divide by -4

  x = 3/2 = 1.50 . . . . . . .divide by 2

  y = -7 . . . . . . . . . . . . . .add 1

  z = 5 . . . . . . . . . . . . . . add 1

The value farthest from 0 is y = -7, corresponding to choice C.

Which irrational number is represented by point D?

Answers

Answer:

182

Step-by-step explanation:

182= 13.49

162= 12.73

204= 14.28

221=14.87

The irrational number represented by point D is 182. The correct option is A.

What is an irrational number?

Irrational numbers are all real numbers that are not rational numbers in mathematics. Irrational numbers, on the other hand, cannot be stated as the ratio of two integers.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

The value on the number line 13.49 is equal to the square root of 182.

√182= 13.49

√162= 12.73

√204= 14.28

√221=14.87

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