Factorise the following.​

Factorise The Following.

Answers

Answer 1

Answer:

x²(9x– 11)(9x + 11)

Step-by-step explanation:

81x⁴ – 121x²

The expression can be factorised as follow:

81x⁴ – 121x²

x² is common to both term. Thus:

81x⁴ – 121x² = x²(81x² – 121)

Recall:

81 = 9²

121 = 11²

Therefore,

x²(81x² – 121) = x²(9²x² – 11²)

= x²[(9x)² – 11²]

Difference of two squares

x²(9x– 11)(9x + 11)

Therefore,

81x⁴ – 121x² = x²(9x– 11)(9x + 11)


Related Questions

number 5 please yeah

Answers

Answer:

3x<45

Step-by-step explanation:

Simple

Which best describes the triangle shown?

Answers

Answer:

a I think please be right

g A construction company has four trucks to carry sand to construction sites. The amount of sand that one truck can transport in one day can be modeled by an exponential distribution with mean of 4 tons for each of the four trucks. The trucks operate independently Find the probability that exactly two out of the four trucks transport more than 4 tons on a given day. What is the median load

Answers

answer is in the photo. can’t attach anything

Provide on equivalent ratio. Show your work....
Write the ratio as a unit rate
per HELP PLEASE

Answers

Answer:

VHV

Step-by-step explanation:

wheres the question even?

To solve the system of equations below, Grace isolated the variable y in the
first equation and then substituted into the second equation. What was the
resulting equation?
2y = 10x
x y²
64 36
= 1

Answers

Answer:

D

Step-by-step explanation:

2y=10x

Divide both sides by 2.

y=5x

Now substitute this into the second equation.

Answer:

b. [tex]x^2/64 - 5y^2/36=1[/tex]

Step-by-step explanation: a p e x

DA is tangent to the circle at A and DC is tangent to the circle at C. Find m

Answers

Answer:

D

Step-by-step explanation:

m angle b equals 77 now we have to find the arc of andle b.

so use the equation arc AC = 2(77)

arcAC = 154

360 - 154

=206

206/2

= 103

Name
Use the given information to answer Problems 7-11.
Leon and Jacey work for a florist. They each program a drone
to deliver boxes of flowers to neighbors. With Leon's program,
he must manually attach the box to the drone. With Jacey's
the drone can pick up one box at a time from a pile.
program,
ram
Please help!!

Answers

Answer:

#7:  30 seconds On The Graph The Drone Has Not Moved and The Time Is At 30 Seconds :)

#8 : 20  Seconds On The Graph All The times go Up by 20 So that is the only Possible answer

#9: Leon Drone Is Faster Look At The Graph 60 Seconds = 10 Feet  And Jacey's Graph its 80 Seconds For 10 Feet And I could Go On

#10 The Time In Seconds

#11 With slow speed you can guarantee it will not be broken or damaged

I Hope This Helps :) Please Give Brainiest If It Makes Sense To You !

Thanks :)

Use the applet to select a random sample of 8 students.Repeat to generate many samples. The applet gives the sample proportion for each sample. Examine the variability in the sample proportions you generated with the applet. Which of the following sequences of sample proportions is most likely to occur for 5 random samples of 8 students from this population? Group of answer choices 0.250, 0.125, 0.500, 0.500, 0.875 0.600, 0.600, 0.600, 0.600, 0.600 0.375, 0.625, 0.500, 0.500, 0.875

Answers

Answer:

0.250, 0.125, 0.500, 0.500, 0.875

Step-by-step explanation:

Sampling method is used in statistics where the sample is extracted from the population. A random sampling means that there is equal chance of every proportion to be selected in the sample. In the given scenario the sampling method used is random sampling which has 5 random samples of 8 students. There can be sequence for the sampling starting from 0.250.


The area of a rectangular folder is 63 square inches. The folder is 7 inches wide. How long is
it?
*........* inches



Answers

It’s 9inches ! Because area=width •length

Therefor you can divide 63 by 7 to get 9

Answer:

9 inches long

Step-by-step explanation: So, this is an area problem. We know that this is a rectangle. This means we use the equasion lw or length times width. We are missing the length so we can divide the area by the width. This is common in problems where you must find a missing number.

Cereal costs $2 per box. How many boxes did Joe buy if she spent $6?​

Answers

Answer:

3 boxes

Step-by-step explanation:

Take the total spent and divide by the cost per box

$6/ $2

3

She bought 3 boxes

what is bigger 1 yard or 35 inches

Answers

1 yard since 1 yard is 36 inches and 35 inches is less than 36 inches

Answer:

Step-by-step explanation:

1 yard has 3 feet

1 foot has 12 inches

3 feet have 3 * 12 = 36

36 is greater than 35

1 yard is greater than 35 inches.

PLEASE SOMEONE ANSWER A REAL ANSWER WILL GIVE BRAINLIST

Answers

Answer:

a I think please be right

About Prove each of the following statements using mathematical induction. (a) Prove that for any positive integer n, 4 evenly divides 32n-1. (b) Prove that for any positive integer n, 6 evenly divides 7n - 1. (c) Prove that for any positive integer n, 4 evenly divides 11n - 7n. (d) Prove that for any positive integer n, 7 evenly divides 9n - 2n.

Answers

Answer:

(a) [tex]3^{2{k+1}} - 1 = 4(9k + 2)[/tex]

(b) [tex]7^{k+1} - 1 = 6(7k + 1)[/tex]

(c) [tex]11(k + 1) - 7(k + 1) = 4(k + 1)[/tex]

(d) [tex]9(k+1) - 2(k+1) = 7(k+1)[/tex]

Step-by-step explanation:

Solving (a): For integer [tex]n[/tex], 4 divides [tex]3^{2n} - 1[/tex]

The proof is as follows:

For n = k, we have:

[tex]\frac{3^{2k}- 1}{4} = k[/tex]

Multiply through by 4

[tex]3^{2k} - 1 = 4k[/tex]

[tex]9^k - 1 = 4k[/tex]

Next, prove the statement is true for [tex]n = k+1[/tex]

[tex]3^{2{k+1}} - 1[/tex]

[tex]3^{2{k+1}} - 1 = 9^{{k+1}} - 1[/tex]

[tex]3^{2{k+1}} - 1 = 9^{k} * 9^1 - 1[/tex]

[tex]3^{2{k+1}} - 1 = 9^k * 9 - 1[/tex]

Express -1 as - 9 + 8

[tex]3^{2{k+1}} - 1 = 9^k * 9 - 9 + 8[/tex]

Factorize:

[tex]3^{2{k+1}} - 1 = 9(9^k - 1) + 8[/tex]

Recall that: [tex]9^k - 1 = 4k[/tex]

So, we have:

[tex]3^{2{k+1}} - 1 = 9*4k + 8[/tex]

Factorize

[tex]3^{2{k+1}} - 1 = 4(9k + 2)[/tex]

Since the above mathematical statement is true, then the given statement has been proved

Solving (b): For integer [tex]n[/tex], 6 divides [tex]7^n - 1[/tex]

The proof is as follows:

For n = k, we have:

[tex]\frac{7^k - 1}{6} = k[/tex]

Multiply through by 6

[tex]7^k - 1 = 6k[/tex]

Next, prove the statement is true for [tex]n = k+1[/tex]

[tex]7^{k+1} - 1[/tex]

[tex]7^{k+1} - 1 = 7^k * 7^1 - 1[/tex]

[tex]7^{k+1} - 1 = 7^k * 7 - 1[/tex]

Express -1 as - 7 + 6

[tex]7^{k+1} - 1 = 7^k * 7 - 7 + 6[/tex]

Factorize:

[tex]7^{k+1} - 1 = 7(7^k - 1) + 6[/tex]

Recall that: [tex]7^k - 1 = 6k[/tex]

So, we have:

[tex]7^{k+1} - 1 = 7(6k) + 6[/tex]

Factorize

[tex]7^{k+1} - 1 = 6(7k + 1)[/tex]

Since the above mathematical statement is true, then the given statement has been proved

Solving (c): For integer [tex]n[/tex], 4 divides [tex]11n - 7n[/tex]

The proof is as follows:

For n = k, we have:

[tex]\frac{11k - 7k}{4} = k[/tex]

Multiply through by 4

[tex]11k - 7k = 4k[/tex]

Next, prove the statement is true for [tex]n = k+1[/tex]

[tex]11(k + 1) - 7(k + 1)[/tex]

[tex]11(k + 1) - 7(k + 1) = 11k + 11 - 7k - 7[/tex]

Collect Like Terms

[tex]11(k + 1) - 7(k + 1) = 11k - 7k + 11 - 7[/tex]

[tex]11(k + 1) - 7(k + 1) = 11k - 7k + 4[/tex]

Recall that: [tex]11k - 7k = 4k[/tex]

So, we have:

[tex]11(k + 1) - 7(k + 1) = 4k + 4[/tex]

Factorize

[tex]11(k + 1) - 7(k + 1) = 4(k + 1)[/tex]

Since the above mathematical statement is true, then the given statement has been proved

Solving (d): For integer [tex]n[/tex], 7 divides [tex]9n - 2n[/tex]

The proof is as follows:

For n = k, we have:

[tex]\frac{9k - 2k}{7} = k[/tex]

Multiply through by 7

[tex]9k - 2k = 7k[/tex]

Next, prove the statement is true for [tex]n = k+1[/tex]

[tex]9(k+1) - 2(k+1)[/tex]

[tex]9(k+1) - 2(k+1) = 9k+9 - 2k-2[/tex]

Collect Like Terms

[tex]9(k+1) - 2(k+1) = 9k- 2k+9 -2[/tex]

[tex]9(k+1) - 2(k+1) = 9k- 2k+7[/tex]

Recall that: [tex]9k - 2k = 7k[/tex]

So, we have:

[tex]9(k+1) - 2(k+1) = 7k+7[/tex]

Factorize

[tex]9(k+1) - 2(k+1) = 7(k+1)[/tex]

Since the above mathematical statement is true, then the given statement has been proved

Which of the points shown below are on the line given by the equation y = 2x?
Check all that apply

Answers

D, I think
If not I am so sorry

In a bowl of fruit, there are green grapes and black grapes in the ratio 3: 4
If there are 24 green grapes, how many black grapes are there?

Answers

24/3 = 8.
8 • 4 = 32

Whats 9387c x 732l +99 *DO NOT REPORT TY!*

.
.
.
.
.
.
.
.
.
.
.
.
do not come until wednesday

Id: 334 911 1797

pass: hey

Answers

Answer:

You did not even start the meeting them you want us to join . Silly

Step-by-step explanation:

6871383

how you doing?

how your day going?

Answer:

6871383

Step-by-step explanation:

why dont come until wednsday??

giving BRAINLIEST for the correct answer !!

Answers

Answer:

x<4

Step-by-step explanation:

Find the solution to -1/3y = -9​

Answers

Answer:

y=27

Step-by-step explanation:

Hey There!

So the whole objective is to get y on one side and the constant on the other

to do so we use inverse operations

-1/3y=-9

divide each side by 1/3

-9/-1/3=-27

we're left with y=-27

y=27

solve for y by simplifying both sides of the equation, then isolating the variable

determine the following​

Answers

Answer:

function

Step-by-step explanation:

y = 6x^2 +x+7

This is an upward facing parabola

This relation will pass the vertical line test.

This relation is a function

Barb drew a line through the origin and point
(2, 3). Jamal drew a line through the origin
and point (4,6). How can you tell that Barb
and Jamal drew the same line?

Answers

Because if you reduce by find their common factors you can see that 2,3 is the same at 4,6. 2,3 times 2 gives you 4,6. Hence forth they are the same line

2 cups is to 8 cans as 14 cups is to ___ cans?

Answers

Answer:

56

Step-by-step explanation:

The ratio is 1:4

14 * 4 = 56

Answer: 56

Step-by-step explanation:

8 ÷ 2 = 4 (cans) - it is 1 cup.

14 × 4 = 56 (cans) - it is 14 cups.

What expression is equivalent to 3x - 7 - 6x + 13

Answers

Answer:

-3x + 6 and -3(x - 2)

Step-by-step explanation:

Given

[tex]3x - 7 - 6x + 13[/tex]

Required

An equivalent expression

[tex]3x - 7 - 6x + 13[/tex]

Collect Like Terms

[tex]3x - 7 - 6x + 13 = 3x - 6x - 7 + 13[/tex]

[tex]3x - 7 - 6x + 13 = -3x+6[/tex]

This can be simplified further as:

[tex]3x - 7 - 6x + 13 = -3(x-2)[/tex]

the slide at the playground has a height of 6 feet. the base of the slide measured on the ground is 8 feet. what is the length of the slide?​

Answers

Answer:  10 feet

Step-by-step explanation:

PLS HELP TEXT ILL GIVE BRAINLIEST

Answers

Answer:

a = -15

Step-by-step explanation:

multiply both sides by 3, then you get a = -15

Answer:

a= -15 for the first one and b= -1 for the 2nd one

Step-by-step explanation:

A ladder is placed 7 feet from the base of a building and reaches a point on the building that is 24 feet above the ground. Find the length of the ladder.

Answers

Use the Pythagorean theorem:

7^2 + 24^2 = length^2

Simplify:

49 + 576 = length ^2

Add:

625 = length^2

Take the square root of both sides

Length = 25

The ladder is 25 feet long

6-4x is Less than or equal to 26

Answers

Less_____________________

12(a – 2) = 14 + 3(2b – 1)
5(a + 1) + 2(1 – 2b) = 14
solve with elimantion?

Answers

Answer:

(a,b) = (49/9 , 91/18)

Step-by-step explanation:

12a-6b=35

5a-4b=7

multiply both sides

-24+12b= -70

15a-12b=21

elimiate one varibable by adding the equations  

-9a= -49

divide both sides

a=49/9

subsitite the value of a

5*49/9-4b=7

solve the equation

b=91/18

a possible solution is

(a,b) = (49/9 , 91/18)

Check it if you want but yeah

49/9, 91/8 hope this helps!!

Your weight on Mars varies
directly with your weight on
Earth. A person weighing 125 lb on
Earth weighs 47.25 lb on Mars,
since Mars has less gravity. If
you weigh 155 lb on Earth, how
much will you weigh on Mars
rounded to the nearest pound?

Answers

Answer:

w=58.59

Step-by-step explanation:

47.25/125=w/155

155×47.25/125=155×w/155

7323.75/125=w

w=58.59

What are two absolute value expressions that are equivalent to |7+9|.

Answers

You did not give is choices to choose from.

|7 + 9| is the same as |-7 - 9|.

|16| is the we same as |-16|.

The graph of a function is a line that passes through the coordinates (2, 11) and (8, 14).

Which is an equation in terms of x and y for this function?
y = 12x + 10
y = 23x + 9
y = 32x + 8
y = 2x + 7

Answers

Answer:

y=12x+10

Step-by-step explanation:

hope this helps sorry if I'm wrong

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