Factorise fully 2a^2b + 6ab^2​

Answers

Answer 1

Answer:

Step-by-step explanation:

2a^2b + 6ab^2

take common

2 can be taken common because there is 2in first term and there is 6 in second term and 2 can exactly divide 6 .there is a*a in first term and only a in second term so u can take a as common.There is only b in first term and b*b in second term so take u can take b as common.

total we can take

2ab as common.So,

2ab(a+3b)

therefore 2ab(a+3b) is the required answer.

Answer 2

The required factorization is  2ab(a+3b).

What is factorization?

Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.

Expanding brackets in reverse is a procedure known as factorizing.

Fully factorizing an equation entails putting it in brackets by eliminating the components with the highest common denominator.

Finding the highest common factor between all the terms in the phrase is the easiest technique to factorize.

We have, 2a²b + 6ab²

Here,

we have the highest common factor 2ab,

So, 2ab (a + 3b)

Therefore, 2ab(a+3b) is the required factorization.

To learn more about the factorization;

https://brainly.com/question/28187946

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Related Questions

What are the zeros of the polynomial function y = (x - 3)(2x + 1)(x - 1)? A. 1/2, 1, 3 B. -1, 1, 3 C. -1/2, 1, 3 D. -3, 1/2, -1

Answers

Answer:

x=3  x = -1/2  x=1

Step-by-step explanation:

y = (x - 3)(2x + 1)(x - 1)

Set the function equal to zero

0 = (x - 3)(2x + 1)(x - 1)

Using the zero product property

x-3 =0   2x+1 =0  x-1 =0

x=3   2x = -1  x=1

x=3  x = -1/2  x=1

the graph of y=3x+=4 is

Answers

Answer:

Step-by-step explanation:

The answer is B.

It's a line that shows every point that satisfies the equation

y = 3x + 4  which is what I think you meant (but I'm not sure). If I am correct then there are a million possible points that could be the answer to this question.

If I am not correct, leave a comment that tells me so, and I'll revise my answer.

Never mind the question has the right equation. And my answer remains as given.

The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on the parabola. Which equation can be used to model the image of the lens?

y = (x – 2)(x + 3)
y = (x – 2)(x + 3)
y = (x + 2)(x – 3)
y = (x + 2)(x – 3)

Answers

Given:

The image of a lens crosses the x-axis at –2 and 3.

The point (–1, 2) is also on the parabola.

To find:

The equation that can be used to model the image of the lens.

Solution:

If the graph of polynomial intersect the x-axis at c, then (x-c) is a factor of the polynomial.

It is given that the image of a lens crosses the x-axis at –2 and 3. It means (x+2) and (x-3) are factors of the function.

So, the equation of the parabola is:

[tex]y=k(x+2)(x-3)[/tex]          ...(i)

Where, k is a constant.

It is given that the point (–1, 2) is also on the parabola. It means the equation of the parabola must be satisfy by the point (-1,2).

Putting [tex]x=-1, y=2[/tex] in (i), we get

[tex]2=k(-1+2)(-1-3)[/tex]

[tex]2=k(1)(-4)[/tex]

[tex]2=-4k[/tex]

Divide both sides by -4.

[tex]\dfrac{2}{-4}=k[/tex]

[tex]-\dfrac{1}{2}=k[/tex]

Putting [tex]k=-\dfrac{1}{2}[/tex] in (i), we get

[tex]y=-\dfrac{1}{2}(x+2)(x-3)[/tex]

Therefore, the required equation of the parabola is [tex]y=-\dfrac{1}{2}(x+2)(x-3)[/tex].

Note: All options are incorrect.

The denominator of a fraction is 4 more than twice its numerator. Denominator becomes 12 times the numerator, if both the numerator and the denominator are reduced by 6. Find the fraction.

Answers

Answer: [tex]\dfrac{6}{26}[/tex]

Step-by-step explanation:

Given

Denominator is 4 more than twice its numerator

Suppose the numerator is x. So, it follows above condition, fraction becomes

[tex]\Rightarrow \dfrac{x}{2x+4}[/tex]

If both numerator and denominator are reduced by 6, they become equal

[tex]\Rightarrow 12(x-6)=2x+4-6\\\Rightarrow 12x-72=2x-2\\\Rightarrow 10x=70\\\Rightarrow x=7[/tex]

The fraction is

[tex]\Rightarrow \dfrac{x}{4x+2}=\dfrac{6}{4\times 6+2}\\\\\Rightarrow \dfrac{6}{26}[/tex]

I need help with this problem pls help!

Answers

Answer : y = x/7 - 2

Write 240000 in standard form

Answers

Answer:

240,000

Step-by-step explanation:

standard form means the way you would write it

Find the difference.
100 – (-87)

Answers

Answer: 187

Step-by-step explanation:

negative cancels negative so that will turn to positive. (-) x (-) = +

100- (-87)

=

100 + 87

= 187

Answer:

187

Step-by-step explanation:

100 - (-87)

100 + 87

187

PLZ MARK as BRAINLIEST

cuanto me da como resultado

Answers

Step-by-step explanation:

1) [tex](-4)^2{\cdot}(-4)[/tex]

We know that, [tex]a^x{\cdot}a^y=a^{x+y}[/tex]

[tex](-4)^2{\cdot}(-4)=(-4)^{2+1}\\\\=(-4)^3\\\\=64[/tex]

2) [tex](-2)^5{\cdot} (-2)^3[/tex]

Again using above property,

[tex](-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256[/tex]

3) [tex]5^{-3}[/tex]

We know that,

[tex]a^{-x}=\dfrac{1}{a^x}[/tex]

So,

[tex]5^{-3}=\dfrac{1}{5^3}\\\\=\dfrac{1}{125}[/tex]

4) [tex]2.5^2=2.5\times 2.5\\\\=6.25[/tex]

Hence, this is the required solution.

simplify 26a+4a-10a​

Answers

Answer:

20a

Step-by-step explanation:

26a+4a-10a=30a-10a=20a

Answer:

20a

Step-by-step explanation:

26a+4a-10a

since they are like terms u can add and subtract them

=30a-10a

=20a

Find the length of AB pls and thank you

Answers

Answer:

x=4

AB=19

Step-by-step explanation:

in such a parallelogram the length of AD must be equal to the length of BC.

=>

18x = 17x + 4

x = 4

AB = 4x + 3 = 4×4 + 3 = 19

If the graph of y=x squared +6x-12 is symmetrical about x=K, what is the value of K?

Answers

21 (don’t believe me)

Pls I need help with this

Answers

Answer:

third side = 4

Step-by-step explanation:

third side is hypoenuse as it is opposite to 90 degree.

using pythagoras theorem

(perpendicular)^2 + (base)^2 = (hypotenuse)^2

2^2 + (2[tex]\sqrt{3[/tex] )^2 = hypotenuse^2

4 + 4*3 = hypotenuse^2

16 = hypotenuse^2

[tex]\sqrt{16}[/tex] = hypotenuse

4 = hypotensue

Solve 270=3e^2.4K to the nearest hundredth

If you can solve this for me could you please give steps so I can understand, please and thank you so much!

Answers

Given:

The equation is:

[tex]270=3e^{2.4K}[/tex]

To find:

The solution for the given equation to the nearest hundredth.

Solution:

We have,

[tex]270=3e^{2.4K}[/tex]

Divide both sides by 3.

[tex]\dfrac{270}{3}=e^{2.4K}[/tex]

[tex]90=e^{2.4K}[/tex]

Taking ln on both sides, we get

[tex]\ln (90)=\ln e^{2.4K}[/tex]

[tex]\ln (90)=2.4K[/tex]                  [tex][\because \ln e^x=x][/tex]

Divide both sides by 2.4.

[tex]\dfrac{\ln (90)}{2.4}=K[/tex]

[tex]\dfrac{4.4998}{2.4}=K[/tex]           [tex][\because \ln (90)\approx 4.4998][/tex]

[tex]1.874916667=K[/tex]

Round the value to the nearest hundredth (two decimal place)

[tex]K\approx 1.87[/tex]

Therefore, the value of K is 1.87.

Lauren is tutoring students at the library on Saturday. If she is at the library for a total of 6 hours and she helps each
student, one at a time, for 7 of an hour, how many students does she tutor?
3

Answers

Answer:

Lauren tutors 42 students in total

Step-by-step explanation:

She tutors for 6 hours and she teaches 7 students an hour , so we just have to multiply 7 by 6 which is 42

Hope it helps:)

You have 88 grams of a radioactive kind of actinium. How much will be left after 44 years if its half-life is 22 years?

Answers

Answer:

22 grams

Step-by-step explanation:

loses 50% of it's mass per 22 years

so after 22 years the mass would be 44 grams

22 years later would leave 50% of 44 grams = 22 grams

The following is a parallelogram solve for the variables

Answers

Answer:

x = 51, y = 17

Step-by-step explanation:

Consecutive angles sum to 180° , so

x + 129 = 180 ( subtract 129 from both sides )

x = 51

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

Opposite angles are congruent, so

3y = x = 51 ( divide both sides by 3 )

y = 17

Step-by-step explanation:

x + 129° = 180°

x = 180°- 129°

x = 51°

3y + 129° = 180°

3y = 180° - 129°

3y = 51°

y = 51°/3

y = 17°

if 5x-26=x+50, then what is the value of x

Answers

Answer:

x = 19

Step-by-step explanation:

5x - 26 = x + 50

Subtract x on both sides of the equation.

4x - 26 = 50

Add 26 on both sides.

4x = 76

Now, divide by 4 on both sides.

x = 19

Answer:

x = 19

Step-by-step explanation:

5x-26=x+50

5x = 76 +x

4x = 76

x = 19

i’m so confused on how to do it

Answers

Answer:

785.4

Step-by-step explanation:

The formula to find the surface area of a cylinder is

2* pi* radius* height + 2* pi* 2radius.

2( 3.14) (5) (20)= 628

2 (3.14* 5*5)= 157

628+ 157= 785.

Write an equation that represents the line

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

A standard equation written in slope-intercept form looks like this:

y = mx + b

m is the slope and b is the y-intercept.

First let's identify the y-intercept.

This is the point where the line crosses the y-axis. That point is (0, -3); therefore, our y-intercept is -3.

y = mx - 3

Now let's find the slope.

This is the rate of change of the line. It is represented by rise over run. "Over" means the number will be presented as a fraction.

We can see that from Point 2 (on the right), we rise 2 units to the level of Point 1 (on the left). This is expressed as 2.

To get directly to Point 1, we run backwards 1 unit. This is expressed as -1.

rise: 2

run: -1

rise/run = 2/-1 = -2

-2 is our slope.

y = -2x - 3

This is your equation.

Hope this helps!

The graph represents the piecewise function:


100 POINTS !!!

Answers

Sorry I never did that before.

describe fully the single transformation that maps A onto c

Answers

Answer:

They are different because they are not similar and they have different answer at the end

Which is equal to –214°? Negative StartFraction 107 pi Over 180 EndFraction radians Negative StartFraction 107 pi Over 90 EndFraction radians Negative StartFraction 107 pi Over 50 EndFraction radians Negative StartFraction 107 pi Over 45 EndFractionradians

Answers

Answer: 1. equal to - having the requisite qualities for; "equal to the task"; "the work isn't up to the standard I require" adequate to, up to, capable.

Step-by-step explanation:Glad Too Help :))

Answer:

B

Step-by-step explanation:

There are 6 blue marbles, 4 green marbles, and 2 red marbles. You choose 2 marbles. What is the chance that they will be blue?

Answers

Answer:

0.0152 probability

Step-by-step explanation:

first there are 12 marbles: odds are 2/12 = 1/6

Then, there are 11 marbles: odds are 1/11

So the odds of both of them being blue are: 1/6 * 1/11 = 0.0152

Please give brainliest thanks!

Write an equation for the graph below using its zeros.

Answers

Answer:

Step-by-step explanation:

It's a cubic.

It has 1 root that cuts the x axis at x = -4

It has 2 roots that are the same. The reason you know this is because the curve touches the x axis, but does not go through the x axis, at 3.

y = (x + 4) (x - 3)(x - 3)

Notice the sign change. x has to have sign change when going from a root to a binomial

The root is - 4. The binomial is (x + 4)

The same argument works for x = 3

The value of two numbers has a sum of 20. Those same two numbers have a difference of -6. Find the value of those two numbers.

Answers

Answer: [tex]-6,13[/tex]

Step-by-step explanation:

Given

The sum of the two numbers is 20

and the difference of the two is -6

Suppose, the numbers are x and y

[tex]\therefore x+y=20\quad \ldots(i)\\\Rightarrow x-y=-6\quad \ldots(ii)\\\text{Solving} (i)\ \text{and}\ (ii)\ \text{we get}[/tex]

[tex]\Rightarrow 2x=14\\\Rightarrow x=7[/tex]

[tex]\therefore y=13[/tex]

Therefore, the numbers are [tex]-6,\ \text{and}\ 13[/tex]

Given m||n, find the value of x.

(7x-4)
(3x+28)º

Answers

Answer:

8

Step-by-step explanation:

7 x 8 = 56 56 - 4 = 52.

3 x 8 = 24 24 + 28 = 52

Find the missing side. Round to the nearest tenth. X=?

Answers

Answer:

x = 12.2

Step-by-step explanation:

to solve for 'x', we can use the sine ratio of opposite/hypotenuse

we need to find the angle opposite side 'x', which can be found by:

180-(44+90) = 46

sin46° = x/17

x = 17·sin46°

x = 12.2

Les is measuring the border of her bulletin board. She measures around the entire outside of the bulletin board and finds the distance is 32 units.
Which measurement does 322 units represent?

Answers

Perimeter of the board

Solve for x and show your work

Answers

Answer:

x = -5

Step-by-step explanation:

50 = x+55

50 - 55 = x

-5 = x

An author published a book which was being sold online. The first month the author sold 14400 books, but the sales were declining steadily at 5% each month. If this trend continues, how many total books would the author have sold over the first 23 months, to the nearest whole number?

Answers

Answer:

The author sold a total of 30240 books following this trend.

Step-by-step explanation:

Let's find 5% of 14400 first;

14400 * 5%

14400 * 5/100

144 * 5

720 (So now we know that they are decreasing by 720 each month; therefore thats the constant)

=> aₙ = a₁ + r(n - 1)

=> a₂₃ = 14400 + 720(23 - 1)

=> a₂₃ = 14400 + 720(22)

=> a₂₃ = 14400 + 15840

=> a₂₃ = 30240

Hope this helps!

The author sold a total of 30240 books following this trend.

Let's find 5% of 14400 first;

[tex]14400 * 5\%\\14400 * 5/100\\144 * 5=720[/tex]

What is an arithmetic progression?

A, is a type of numerical sequence studied by Mathematics, where each term or element counting from the second is equal to the sum of the previous term with a constant.

So using the arithmetic progression we have:

[tex]a_n = a_1 + r(n - 1)\\a_{23} = 14400 + 720(23 - 1)\\ a_{23} = 14400 + 720(22)\\ a_{23} = 14400 + 15840\\a_{23} = 30240[/tex]

See more about arithmetic progression at brainly.com/question/20385181

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