Factorise (2x+3y)²-(x-4y)²​

Answers

Answer 1

Answer:

(3x−y)(x+7y)

Step-by-step explanation:

Factor (2x+3y)^2−(x−4y)^2

3x^2+20xy−7y^2

=(3x−y)(x+7y)

Answer 2

Answer:

(3x - y)(x + 7y)

Step-by-step explanation:

Given

(2x + 3y)² - (x - 4y)² ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Here a = 2x + 3y and b = x - 4y , then

(2x + 3y + x - 4y)(2x + 3y - (x - 4y))

= (3x - y)(2x + 3y - x + 4y) = (3x - y)(x + 7y)

Thus

(2x + 3y)² - (x - 4y)² = (3x - y)(x + 7y) ← in factored form


Related Questions

1. The total cost in dollars to buy uniforms for the players on a volleyball team can be
found using the function c = 34.95u + 6.25, where u is the number of uniforms
bought. If there are at least 8 players but not more than 12 players on the volleyball
team, what is the domain of the function for this situation?

Answers

The domain will be the integer numbers between 8 and 12 using the limits in other words 8 ≤ u ≤ 12

this is considering every player will bought only one uniform for the season

Hope this helped!

if thats not it read this and see if this works out

The domain of the function is

Step-by-step explanation:

Given : The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c= 34.95u +6.25, where u is the number of uniforms bought.

If there are at least 8 players but not more than 12 players on the volleyball team.

To find : What is the domain of the function for this situation ?

Solution :

The total cost in dollars  c= 34.95u +6.25

Where, u is the number of uniforms bought.

Now, The number of uniforms bought depend on the number of players.

We have given that, there are at least 8 players but not more than 12 players on the volleyball team.

i.e, The number of players are between 8 to 12.

So, The domain of the function is

8< u < 12  

hope this helped

What is 3 1/2?
A. -2/-7
B. -3 1/2
C. 3 1/3
D. -2/7

Answers

C 3 1/2
The lines in between the number means absolute value. This means that’s when the number is simplified it would become positive. Since 3 1/2 isn’t negative it would just stay the same

Helpp meee pleaseeeeeeeeeee !!!!

Answers

Step-by-step explanation:

since the domain of the function is given, you just have to plug in the numbers to the function:

13x - x²

it's basically asking: if x was any of the numbers in the given domain, what would it be the answer be?

for example:

I'll solve for -2 and you can do the rest.

13 • -2 -(-2 ²) =

13 • 2 + 4 =

26 + 4 = 30

so the range for -2 would be 30

Is the relation a function? And why
A)No
B)Yes

Answers

No I think pls tell me if I’m right
The answer is no


Good luck

. Three out of four students in school have at least one sibling. If there are 300 students in your school, how many would have at least one sibling?

Answers

Answer: 225 students would have at least one sibling.

Step-by-step explanation:

Three out of four is the same as  3/4 meaning that if there are 300 students in your school then 3/4 times 300 will give the number of students with at least one sibling.  

3/4 * 300 = 225  

This means 225 students would have at least one sibling.

it would be 225

.75 x 300 = 225

The cost of a DVD box set increased from $30 to $35. A student says that this represents a 5% increase in the price. Explain the student’s error. What is the actual percent increase?

A. The student used the difference as the percent increase. The actual percent increase is about 105%.
B. The student used the difference as the percent increase. The actual percent increase is about 17%.
C. The student forgot to add 100% for the original price. The actual percent increase is 105%.
D. The student forgot to add 100% for the original price. The actual percent increase is 117%.

Answers

Answer:

it b

Step-by-step explanation:

hope it help

A factory makes 23 fear of rope
per minute. How mary text of rope
will the factory make in 7 minutes,

Answers

Answer: 2346

Step-by-step explanation:

What expression shows the greatest common factor correctly factored from the expression 12a2−36ab+18b2?

Answers

Answer:

Factor each coefficient into primes

Step-by-step explanation:

The Factor  expression shows the greatest common factor correctly factored from the expression 12a2−36ab+18b2 is each coefficient into primes.

What is expression?1a: an action, procedure, or instance of representing something in a medium (like words): freedom of expression in speech. b This gift is meant to show how much I like you. (1): something that represents, embodies, or manifests another. (2): an important phrase or term.A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11 written as 8 + 3.The Factor  expression shows the greatest common factor correctly factored from the expression 12a2−36ab+18b2 is each coefficient into primes.

To learn more about expression refer to:

brainly.com/question/723406

#SPJ2

What is the purpose of the "Resolution" in the Declaration of Independence?

Answers

Answer:

The Lee Resolution, also known as the resolution of independence, was an act of the Second Continental Congress declaring the Thirteen Colonies to be independent of the British Empire. Richard Henry Lee of Virginia first proposed it on June 7, 1776. It is the earliest form and draft of the Declaration of Independence.

Step-by-step explanation:

Solve for B. N=-m^2+3d/b

Answers

Answer:

b = 3d/n+m^2

Step-by-step explanation:

Question 8 (2 points)
Gaston has an annuity that pays $250 at the beginning of each quarter. If the economy grows at a rate of 4.97% annually, what is the value of
the annuity if he received it in a lump sum now rather than over a period of eight years? (2 points)
$1,617.76
$1,698.17
$6,471.06
$6,792.67

Answers

It’s answer choice D! have a nice day!

what is an explicit representation for the nth term of the sequence (-1/2, -2 , - 8, -32)​

Answers

Answer:

sdvsvsdv

Step-by-step explanation:

Answer:

Step-by-step explanation:

It’s B

solve f = 2/t + 5 for T​

Answers

Answer:

t=2/f-5

Step-by-step explanation:

2/t=f-5

or,2=(f-5)/t

t=2/(f-5)

Question:
A recipe says to use 3.5 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of
cookies made, y, to the number of cups of flour used, x Round your answer to the nearest tenth
es -
HELP ASAP

Answers

Answer:

13.7 cookies per cup

Step-by-step explanation:

Here, we want to write the constant of proportionality that relates the number of cookies to the

number of flours.

What we do

simply here is to divide the number of cookies by the number of cups of flowers

That would be;

y/x = 48 cookies/3.5 cups = 13.7 cookies per cup

3414159274920293848389392020202209383

Solve the following 2+(4×7)-9​

Answers

21 is the answer of the question

In Hawaii, January is a favorite month for surfing since 60% of the days have a surf of at least 6 feet.† You work day shifts in a Honolulu hospital emergency room. At the beginning of each month you select your days off, and you pick 6 days at random in January to go surfing. Let r be the number of days the surf is at least 6 feet.

Answers

Answer:

3 days.

Step-by-step explanation:

Based on the information provided we see that roughly 60% of the days in January have 6ft+ waves then we would need to use this value to calculate the number of days that are good for surfing. We calculate this by multiplying the number of days that you can surf by 60% using the equation below as r being the actual total amount of days....

r = 6 * 0.60%

r = 3.6

As we can see that there are roughly 3 days that see this amount of wave activity between the 6 chosen dates. We have to round down because we are talking about full days and 3.6 does not meet a fourth full day.

Find the value of x in the triangle below. x =
Y
29x + 3
D
c
11x-2
950

Answers

if it is x=y,29x+3=11x-2 then

29x-11x=-2-3,

18x=-5

,x=-5/18

–3х + бу = 12
What is the x and y intercept

Answers

Answer:

x = -4. y= 2 is the answer

Step-by-step explanation:

-3x + 6(0) = 12

-3x=12

divide 12 by -3

-4

-3(0) + 6y = 12

6y= 12

12 divided by 6

2

Answer: y=1/2x+2

Step-by-step explanation:

is 3.14 a terminating decimal ?​

Answers

Answer:

Yes, it is a terminating decimal.

Step-by-step explanation:

3.14 ends and it does not repeat. If it repeated, it would be a repeating decimal but since it does not, it is a terminating decimal.

Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation .

Select all the values (d,n) that could be solutions to the equation.

Answers

One solution is x = 1 and y = 443 because
0.10(1) + 0.05(443) = 22.25.
So, (1, 443) is a solution.
Since, 1 dime = 2 nickels,
Increment of 1 in x-value = Decrease of 2 in y-value.
Therefore, the set of possible solutions are {(1, 443), (2, 441), (3, 439), (4, 437),......(222, 1)}

Hope this helped, if not let me know my error. :)

∠A and \angle B∠B are supplementary angles. If m\angle A=(4x-30)^{\circ}∠A=(4x−30)

and m\angle B=(4x-14)^{\circ}∠B=(4x−14)

, then find the measure of \angle A∠A.

Answers

Answer:

the measure of ∠A. is 87∘

Step-by-step explanation:

Two angles are said to be supplementary angles if the sum of those angles is 180 degrees.

_________________________________________________

Given

∠A=(4x−30) ∘

∠B=(4x−14) ∘

Fir angles to be supplementary

∠A + ∠B = 180

(4x−30) ∘ + (4x−14) ∘ = 180∘

(8x -54 )∘ = 180∘

=> 8x =  180∘ +  54∘= 234∘

=> x = 234∘/8 = 29.25∘

Thus,

∠A=(4x−30) ∘

∠A=(4*29.25−30) ∘ =( 117 - 30 ) ∘ = 87∘

Thus,

the measure of ∠A. is 87∘

Find the square root of [tex]\sqrt -36[/tex]

Answers

This can’t be done because you can not find the square roots of negatives! Hope this helps <3
i believe it’s i square root of 6

What is 0.02 written as a percent? Will give brainiest is fast and correct
a.
0.0002%
b.
0.02%
c.
2%
d.
20%

Answers

Step-by-step explanation:

  answer is; c. 2%

Multiply by 100 to convert a number from decimal to percent then add a percent sign %. Converting from a decimal to a percentage is done by multiplying the decimal value by 100 and adding %. The shortcut to convert from decimal to percent is to move the decimal point 2 places to the right and add a percent sign.

pic below

mark me as brainliest please

thanks in advance

[tex]haveanawesomeday[/tex]

THIS IS THE 3RD TIME I SAY THIS, PLZ HELP ME I WILL MARK BRAINLIEST

Answers

Answer:

1/4

Step-by-step explanation:

Sorry you had to wait sso long to get an answer, but here it is:

If you count out any of the cubes in a side of the original polygon, and then count the cubes in the same side of the smaller copy, you will see that there is a ratio. That ratio is 4 : 1, meaning that the scale factor is 1/4.

Hope this helps :)

Answer:

4:1

Step-by-step explanation:

first figure has 4 among the colomuns

second one has 1   so the differance is    first one is  4 times as big as the second one

Determine the 50th term in the sequence defined by an = -11+ 5(n − 1).

Answers

The 'nth' term is a formula with 'n' in it which enables you to find any term of a sequence without having to go up from one term to the next. 'n' stands for the term number so to find the 50th term we would just substitute 50 in the formula in place of 'n'.

Determine whether the equation below has a one solutions, no solutions, or an
infinite number of solutions. Afterwards, determine two values of x that support your
conclusion.
2 – 3 = -3 + 2

Answers

Answer:

one solution

Step-by-step explanation:

How much does 1 lemon cost if 6
lemons are $2.99?​

Answers

Answer: About 50 cents 0.50

Step-by-step explanation: 2.99 / 6 = 0.50

Answer:

         _

0.4983

if you want a more simple answer then you could probably round it to about 50 cents each i guess.

There are ten bird baths in a park. On the first day of spring, the bird baths are filled. Several
weeks later, the overall change in the water level is found. The results are shown in the table. What
is the range of the data?
Changes in Amount of Water (gallons)
-0.3 - 1.2 - 1.3 2.6 2.5 -0.7 0.8 -0.8 2.7 2.9
The range in the change of the amount of water is
gallons

Answers

Answer: 3.2

Step-by-step explanation: you need to take the maximum minus the minimum

2.9 - (-.3) = 3.2

how do I find the answer to 47+ (7 + 6) × 3​

Answers

Answer:

86

Step-by-step explanation:

1) 7+6= 13 2) 13×3 = 39 3) 47+39= 86

if Aubrey buys 12 bottles of orange juice at the corner store for a.total cost of $6.36. if each a bottle cost the same amount how much is each bottle

Answers

Answer:

0.53 is the right answer its not 0.28 because I did the work and I got 0.53 by dividing

Step-by-step explanation:

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