factorise 8a^3+b^3+12a^2b+6ab^2​

Answers

Answer 1
Answer: See below

Explanation:

8a^3+b^3+12a^2b+6ab^2
= (8a^3+b^3) + (12a^2b+6ab^2)

= (2a+b)(4a^2+2ab+b^2)+6ab(2a+b)
= (2a+b)(4a^2+2ab+b^2)+6ab
= (2a+b)(4a^2 + 2ab+b^2+6ab)
= (2a+b)(4a^2+8ab+b^2)
Answer 2

Answer:

(2a+b)^3

Step-by-step explanation:

8a^3+b^3+12a^2b+6ab^2​

(2a)^3 + 3. (2a)^2 b + 3 (2a) b^2 + b^3

the above equation compare to (a+b)^3 = a^3 + 3a^2b+3ab^2 +b^3

when we compare both the equations

our a= 2a and b=b

so, our answer is (2a + b)^3


Related Questions

Plzzzz help me

Consider the function below.
Х
-1
0
1
2
(x)
3
oo
13
N
Which of the following functions could be the inverse of function ?

Answers

Answer:

i think its option b but im not sure

I need the answers to B and C please and thank you! :)

Answers

Answer:

2/9 and 4/9

Step-by-step explanation:

There are 3 * 3 = 9 possible outcomes of spinning the spinners. Out of those, there are only 2 ways to achieve a product of 6 (2 and 3 or 6 and 1) so the answer to B is 2/9. For C, there are 4 ways for the total to be greater than 10 (12, 18, 20, 30) so the answer is 4/9.

Answer:

b=2/9

c=4/9

Step-by-step explanation:

b: 2/3(there are two options you can land on that have a pair that multiplies to six)*1/3(each only has one pair)= 2/9

c: 2/3(6 or 4)*2/3(3 or 5) =4/9

Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20an hour. Each hour she sells an average of $60 of food and drinks. She also makes time and a half when she works over 8 hours during a single shift. Her work week contains three 10-hour shifts, one 5-hour shift, and one 11-hour shift. Using the same income deductions as stated in the previous question, what is Sarah's annual gross income and annual net incom

Answers

Sara works 46 hours per week

9 hours are overtime and 37 hours are regular time

pay rate at time and a half: 10.20∗1.5=15.30

regular hours plus overtime pay

37∗10.20=377.40

9∗15.30=137.70

Income due to tips

Total hours worked∗60per hour∗20%

46∗60∗.20=552

Weekly Income=Hourly income + tips

Weekly Income=377.40+137.70+552.00

Weekly Income=1067.10

Annual income=Weekly income∗52

Annual income=55489.20

What is the standard deviation of the data set {6, 8, 6, 11, 8, 8, 9}? round to the nearest tenth ​

Answers

Answer:

8

Step-by-step explanation:

the one that the number has are the same is the data

The standard deviation of the data set is 1.6

What is Standard Deviation?

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

Here, given data

data(x)      frequency(f)                     xf                 d² = (x-mean)²       fd²

6                       2                               12                       4                       8

8                       3                               24                      0                       0

9                       1                                9                         1                       1

11                       1                                11                        9                      9

mean = ∑xf / ∑f

          = (12+24+9+11)/(2+3+1+1)

          = 56 / 7

mean = 8

Variance = ∑fd²/∑f

               = 18 / 7

              = 2.57

Standard Deviation = √variance

                                = √2.57

                               = 1.6

Thus, the standard deviation of the data set is 1.6

Learn more about Standard deviation from:

https://brainly.com/question/14747159

#SPJ2

Find the output, y, when the input, x, is 666.

Answers

Answer:

y = 8

Step-by-step explanation:

The question is simply asking for the y-value when x = 6. We look at the graph when x = 6 and see what y-value it gives us. We find that when x = 6, we have y = 8.

Type the correct answer in each box. If necessary, use / for the fraction bar. Complete the statements about series A and B. Series A: 10+4+8/5+16/25+32/125+⋯ Series B: 15+3/5+9/5+27/5+81/5+⋯ Series__ has an r value of___where 0<|r|<1. So, we can find the sum of the series. The sum of the series is___ need help guys please :/

Answers

Answer:

Series A has an r value of 2/5 and series A has an r value of 3. The sum of the series A is 50/3

Step-by-step explanation:

A geometric sequence is in the form a, ar, ar², ar³, .  .   .

Where a is the first term and r is the common ratio = [tex]\frac{a_{n+1}}{a_n}[/tex]

For series A:  10+4+8/5+16/25+32/125+⋯   The common ratio r is given as:

[tex]r=\frac{a_{n+1}}{a_n}=\frac{4}{10} =\frac{2}{5}[/tex]

For series B: 1/5+3/5+9/5+27/5+81/5+⋯   The common ratio r is given as:

[tex]r=\frac{a_{n+1}}{a_n}=\frac{3/5}{1/5} =3[/tex]

For series A a = 10, r = 2/5, which mean 0 < r < 1, the sum of the series is given as:

[tex]S_{\infty}=\frac{a}{1-r}=\frac{10}{1-\frac{2}{5} } =\frac{50}{3}[/tex]

3 8 3 ​ ÷9=3, start fraction, 3, divided by, 8, end fraction, divided by, 9, equals

Answers

Answer:

1/24

Step-by-step explanation:

In the above question, we are asked to solve for:

start fraction, 3, divided by, 8, end fraction, divided by, 9, equals

Mathematically, this is represented as:

(3/8) ÷ 9

= (3/8) × 1/9

= 3/72

= 1/24

Therefore, start fraction, 3, divided by, 8, end fraction, divided by, 9, equals 1/24

help me please, explanation not necessary but would be appreciated

Answers

Answer:

55°

Step-by-step explanation:

The following data were obtained from the diagram given above:

Adjacent = 4

Hypothenus = 7

Angle A =?

The value of angle A can be obtained as follow:

Cos A = Adjacent / Hypothenus

Cos A = 4/7

Take the inverse of Cos.

A = Cos¯¹(4/7)

A = 55.1° ≈ 55°

Therefore, the value of angle A is approximately 55°.

The Big Telescope Company sells circular mirrors. Their largest mirrors have radii of 5 meters and their smallest mirrors have radii of 1 meter. The cost of every mirror is proportional to the cube of the mirror's radius. What is the ratio of the total cost of 25 of the company's smallest mirrors to the cost of one of the company's largest mirrors? Express your answer as a common fraction.

Answers

Answer:

The answer is 1/5

Step-by-step explanation:

Pam bought 50 kg of sugar. She used 10 kg of sugar. What percentage of sugar was left? (step by step answer would be appreciated)

Answers

Answer:

80%

Step-by-step explanation:

50 x 50 would be 100 and 50kg=100% and 10 x 2 = 20 so you used 20% therefore you have 80% left.

Answer:

80% of sugar left.

Step-by-step explanation:

If we start of with 50 kg of sugar and we take away 10 kg of sugar, we are left with [tex]50-10=40[/tex] kg of sugar.

To find the percentage of sugar left, we divide the decreased number by the original number.

[tex]\frac{40}{50} = \frac{4}{5} = 0.8[/tex]

If we have a decimal and want to convert it to a percentage, we multiply it by 100.

[tex]0.8\cdot100=80[/tex]

So, 80% of the sugar is left.

Hope this helped!

What is the y-intercept of the function, represented by the table of values
below?
x
у
-2
16
1
4.
2
0
4
-8
7
-20

Answers

Answer:

8

Step-by-step explanation:

The y-intercept (b) of the function is the point at which the line of the graph of the given values of the table above crosses the y-axis, for which x = 0.

To find the y-intercept of the function represented by the tables, recall the equation of a straight line which is given as:

y = mx + b

Where, m is the slope = (y2 - y1)/(x2 - x1)

b = the y-intercept we are to find

y and x could be any values of a point on the graph which is represented in the table of values.

First, let's find the slope (m):

Let's use any 2 given pairs of the values in the table above.

Using,

(1, 4), (2, 0),

y1 = 4,

y2 = 0

x1 = 1

x2 = 2

m = (0 - 4)/(2 - 1)

m = -4/1 = -4

=>Using, y = mx + b, let's find the y-intercept (b), taking any of the coordinate pairs from the table of values given.

Let's use, (1, 4) as our x and y values.

Thus,

4 = -4(1) + b

4 = -4 + b

Add 4 to both sides to solve for b

4 + 4 = -4 + b + 4

8 = b

y-intercept of the function represented by the table of values = 8

If two digit number, the digit at unit place is
2 more the digit at tens place. If three times
the sum of digits is added to the number, the
number will be reversed. Find the number.​

Answers

Answer:

24

Step-by-step explanation:

let the 2 digit number be ab then digit in unit place is 2 more than ten place

2 digit number is a a + 2 where b = a + 2.

Thus sum of digits = a + a + 2 = 2a + 2, then

ab + 3(2a + 2) = ba ← using place value of digits

10a + b + 6a + 6 = 10b + a, that is

16a + 6 + b = 10b + a ( subtract 10b + a from both sides

15a - 9b + 6 = 0 ← substitute b = a + 2

15a - 9(a + 2) + 6 = 0

15a - 9a - 18 + 6 = 0

6a - 12 = 0 ( add 12 to both sides )

6a = 12 ( divide both sides by 6 )

a = 2

Thus the number is 24

Clark collected 200 fruits from his orchard. 56 of the fruits were durians and the rest were mangoes. What percentage of the fruits were mangoes?

Answers

Answer:

72%

Step-by-step explanation:

First find the number of mangoes

200 -56 = 144

Take the number of mangoes over the total

144/200

.72

Change to percent by multiplying by 100

72%

Answer:

72%

Step-by-step explanation:

If 56 of the 200 fruits were durians, then [tex]200-56[/tex] of the fruits were mangoes. Therefore, 144 of the fruits were mangoes.

Now we can set up a percentage proportion to find what percent of 200 144 is.

[tex]\frac{144}{200} = \frac{x}{100}[/tex]

Multiply the cross values and divide by the value thats diagonal to the variable.

[tex]144\cdot100=14400\\14400\div200=72[/tex]

So, the answer is 72%

Hope this helped!

How do you graph y=3x-4 on a coordinate grid

Answers

Answer:

You can look at the screenshot

Step-by-step explanation:

So one point of the line is (0, -4) and another point is (4/3, 0). Plot these points on a graph and draw a line.

0, -4 is from making x = 0, and then 4/3, 0 is from making y = 0.

Answer:

Step-by-step explanation:

You start the question at -4 on the coordinate plane and then you would go up 3 units and 1 unit to the right since the slope of the equation 3/1. You would get your graph like that. And to go backward you would go 3 units down and 1 unit to the left.  

If you have the answer pls screenshot and put each pare in one color pls

Answers

Step-by-step explanation:

(2 / 3)(-4)(9) = (2 / 3) * 9 * (-4) = 6 * (-4) = -24.

(-3 / 4)(7 / 8) = (-3 * 7) / (4 * 8) = -21 / 32.

(2 and 3/5)(7 / 9) = (10/5 + 3/5)(7/9) = (13/5)(7/9) = 91 / 45.

(5 / 16)(-2)(-4)(-4/5) = (5 / 16)(4 / 5)(2)(-4) = (1 / 4)(2)(-4) = (-1)(2) = -2.

Hope this helps!

which geometric solid is formed by rotating the rectangle about line m?

Answers

Answer:

rectangular prism

Step-by-step explanation:

check by rotating the shape in images

Please help. I will give out brainliest

Answers

Answer:

the table is correct

the graph will look like:

I NEED SOMEONES HELP HELP ME PLEACE

Answers

Answer:

He needs to paint 12 inches in height

and 42 inches in width

At the toy store, you could get 4 board games for $25.84. Online, the price for 5 board games is $32.15. Which place has the highest price for a board game?

Answers

Answer:

The board game store

Step-by-step explanation:

Just divide the store price by 4 and online by 5

Answer:

Toy store

Step-by-step explanation:

Let's find the unit rates for the toy store and the online store. To find the unit rate, divide the price by the number of board games.

price/board games

Toy Store

price/board games

The toy store sells 4 board games for $25.84

$25.84 / 4 board games

25.84/5

6.46

Online Store

price/ board games

The online store sells 5 board games for $32.15

$32.15 / 5 board games

32.15/5

6.43

At the toy store, a board game costs $6.46. Online, it costs $6.43.

6.46 is greater than 5.43, therefore, the toy store has the higher price for a board game.

To find the number of units that gives break-even for the product, solve the equation R C. Round your answer to the nearest whole unit A manufacturer has total revenue given by the function R = 90x and has total cost given by C 35x + 17,000, where x is the number of units produced and sold. A, 55 units
B. 125 units
C. 136 units
D. 309 units

Answers

Answer:

The correct answer is D.

Step-by-step explanation:

Giving the following information:

R = 90x

Total cost= 35x + 17,000

x= is the number of units produced and sold

Now, we know that:

Unitary variable cost= 35

Fixed costs= 17,000

Selling price per unit= 90

To calculate the break-even point in units, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 17,000 / (90 - 35)

Break-even point in units= 309 units

2. Hessa was playing a computer game. She scored 43 points in Round 1 and 26 points in Round 2. Which sum could she use to add the points together? a. 40 + 20 + 3 + 6 b. 4 + 3 + 2 + 6 c. 40 + 30 + 20 + 60 d. 30 + 4 + 60 + 2

Answers

Answer:

a. 40 + 20 + 3 + 6

Step-by-step explanation:

Points scored by Hessa is as shown below;

Round 1 = 43 points

Round 2 = 26 points

Total points for both rounds = 43 + 26 = 69 points

To determine the sum she could use to add the points together, we must select the sum that will give us the same total of points for both rounds i.e 69 points.

The Round 1 score (43 pt)can also be expressed as (40+3) points

The Round 2 score (26 pt)can also be expressed as (20+6) points

The sum she could use to add the points together will be  (40+3)+(20+6)

which is also equal to  40 + 20 + 3 + 6  = 69points

Hence, option a is correct

(ANSWER ASAP) The table represents the multiplication of two binomials. What is the value of A?
-3x
-3x2
-5x
-5x2

Answers

The value of A will be -3x^2

By observing the table it can be concluded that the value of A must be equal to 3x × (-x)

So, the value will be -3x^2

Answer:

B on EDG

Step-by-step explanation:

The sand used for sanding icy roads in the winter is stored in a conical-shaped structure with a radius of 10 m and a height of 16 m. Calculate the maximum amount of sand which can be stored in this structure.

Answers

Answer:

1,675.516

Step-by-step explanation:

The formula for a cone is V = pi r^2 h/3.

Plugging in the values of the radius and height, V = pi 10^2 16/3

Solving, you get:

V = pi 100 5.3333333

V = 1,675.516

I REALLY NEED HELP PLZZZ. I WILL MARK YOU AS THE BRAINLIEST ANSWER IF U GIVE A GOOD RESPONSE TO THE QUESTIONS!!!!

Answers

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It looks lilke one of those old'n day Juice makers

2, 3 , and 4 would be the part im talking about.

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

please answer both questions with adding your work

Answers

Answer:

1-   1/3 x +3y=1

y=2/3 x-4    

solution : x=39/7 , y=-2/7

3x-2y=11

-3x-y=4   solution x=1/3, y=-5

Step-by-step explanation:

1/3 x +3y=1

y=2/3 x-4

solve by substitution for y in the first equation:

1/3 x + 3(2/3 x-4)=1

1/3 x+6/3 x-12=1

7/3 x=12+1

7/3 x=13 ⇒7x=39 ⇒x=39/7=5 4/7

y=2/3 x -4

y=2/3 (39/7)-4

y=72/21  -4

y=-4/7

second problem:

3x-2y=11

-3x-y=4    solve by elimination: add two equation to eliminate x

3x-2y-3x-y=11+4

-3y=15

y=15/-3 ⇒y=-5

substitute y in one of the equations: 3x-2y=11

3x-2(-5)=11

3x+10=11

3x=11-10

x=1/3

In first half of a basketball game one team scored 45 points. This was 5/9 of their score for the whole game. How many points did the team score in the second half?

please help thx :)​

Answers

Answer:

36

Step-by-step explanation:

45*(9/5)=81(The whole score)

81-45=36(the second half score)

Answer:

36

Step-by-step explanation:

Because you multiply 9*9=81, and then 81-45=36, Because 9*5=45, so the answer is 36.

A. 3 B. 23√3 C. 33–√ D. 63–√

Answers

Answer:

I think its A.3not sure

The answer is A. This is because in 30 60 90 triangles, the hypotenuse can be represented as a 2, while the 60 90 segment can be represented as 1. Divide 6 by 2 and get 3. The correct answer is A.

Please can someone help me asap

Answers

Answer:

48

Step-by-step explanation:

Because you add 20 cm, 15 cm, and lastly 13 cm. Then you add it all together and get the answer.

Find the width of a rectangle if the diagonal is 19 and the length is 16

Answers

Answer:

≈10.25

Step-by-step explanation:

use the Pythagorean Theorem: a² + b² = c²

c is the hypotenuse, the diagonal, or the longest side of the triangle

a = 16

b = ?

c = 19

(16)² + b² = (19)²

256 + b² = 361

b² = 105

b = √105 ≈ 10.25

ASAP!!! PLEASE help me with this question! It is really urgent...

Answers

Answer:

0.987

Step-by-step explanation:

use stat on calculator

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