Show that n(n – 1)(n + 1) + 6n ≡ n3 + 5n

Answers

Answer 1
Answer:

Explanation:

n(n - 1)(n + 1) + 6n = n^3 + 5n
n(n^2 - 1) + 6n = n^3 + 5n
n^3 - n + 6n = n^3 + 5n
n^3 + 5n = n^3 + 5n (proven)

Related Questions

Find x.
2x + 40
3x
4x
X + 50
x = [?]
y

Answers

Answer:

x=27

Step-by-step explanation:

Hey there!

the exterior angles of a quadrilateral add up to equal 360

so 360=2x+40+4x+3x+x+50

step 1 combine like terms

2x+4x+3x+x=10x

50+40=90

now we have

360=10x+90

step 2 subtract each side by 90

360-90=270

90-90 cancels out

now we have 270=10x

step 3 divide each side by 10

270/10=27

we're left with

x=27

2 -7
-9
5
Given A=
and B-
6
1
-1
If X-A=B, what is X?
-2
O
7
0
-11
12
-2
-5
-7 -12
5
0
11-12

Answers

Answer:

it is b              furqufhrfhquh quf hqhf

Step-by-step explanation:bfygefy eyfeyfyewfyefwef eqf  

\fn qf7f

The value of the matrix X is X =  [tex]\left[\begin{array}{ccc}-7&-2\\7&0\\\end{array}\right][/tex].

What are Matrices?

Matrices are a set of numbers arranged in such a way that the numbers are arranged in rows and columns.

Each number is called element in a matrix.

Given are two matrices.

A = [tex]\left[\begin{array}{ccc}2&-7\\6&1\\\end{array}\right][/tex] and B = [tex]\left[\begin{array}{ccc}-9&5\\1&-1\\\end{array}\right][/tex]

We have given that, a matrix X exists such that,

X - A = B

We can rearrange this as,

X = A + B

Adding the two matrices,

The entries will be,

2 - 9 = -7

-7 + 5 = -2

6 + 1 = 7

1 - 1 = 0

X =  [tex]\left[\begin{array}{ccc}-7&-2\\7&0\\\end{array}\right][/tex]

Hence the X is option A.

Learn more about Matrices here :

https://brainly.com/question/30646566

#SPJ7

PLEASE PLEASE HELP!!!

These tables of values represent continuous functions. In which table do the
values represent an exponential function?

Answers

table B represents an exponential function because
2*5=10
10*5=50
50*5=250

Solve the following inequalities and give the solutions in both set and interval notations.

-2x + 5 < -x + 25

Answers

4y + 3 > 23          subtract 3 from both sides

4y > 20                divide both sides by 4

y > 5

 

-2y > -2                divide both sides by -2 (the order changes)

y < 1

 

(-oo, 1) ∪ (5, oo)

Upvote

SO SORRY IF THESE IS WRONG:(( JUST SAY IT TO ME NOT TO BULLY ME

plsss help meee in math :(((​

Answers

Answer:

a = 30

2a = 60

3a = 90

Step-by-step explanation:

3a + 2a + a = 180 ( Sum of angles of a triangle is 180)

6a = 180

a = 180/6

a = 30

2a = 2 x 30 =60

3a = 3 x 30 = 90

PLEASE HELP ASAP
trigonometry

Answers

Answer:

5). x = 11.9°

6). x = 27.2°

Step-by-step explanation:

5). By applying cosine rule in the given triangle,

   cos(32)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

   cos(32)° = [tex]\frac{x}{14}[/tex]

    x = 14cos(32)°  

    x = 11.87

    x ≈ 11.9°

6). By applying sine rule in the given triangle,

    sin(54°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

    sin(54°) = [tex]\frac{22}{x}[/tex]

     x = [tex]\frac{22}{\text{sin(54)}}[/tex]

     x = 27.19°

     x ≈ 27.2°

How much would you need to deposit in an account now in order to have $2000 in the account in 15
years? Assume the account earns 2% interest compounded monthly.

Answers

4000 mcmcnxmamnxmxmnxnxns

cuantas horas son de 7am a 7pm​

Answers

What do you mean? If you mean the difference in timing between 7am and 7pm that is 12 hours
I think the answer is 12 hours

Please any help i need it now please
i will mark you brill

Answers

Answer:

(x+2.25) ×24

This is how it is written

Answer:

Step-by-step explanation:

y = 24*(x + 2.25)

There, that's an algebraic expression for 24 times the sum of a number and 2.25.

Please help me with this question

Answers

Answer:

$13.50

Step-by-step explanation:

Answer:

m = 13.50$

Step-by-step explanation:

26.50 + m = 40

m = 40 - 26.50

m = 13.50$

​In the cylinder, the radius of the circular base is 3.5 centimeters, and the height of the cylinder is 11 centimeters. The volume of the cylinder is

Answers

Answer:

33.69[tex]\pi[/tex] or 105.83

Step-by-step explanation:

Volume for a cylinder is

V= [tex]\pi r^{2}h[/tex]

we need to find the radius from the base

B = 2[tex]\pi[/tex]r

B= 3.5/2 = 1.75

V =[tex]\pi 1.75^{2}*11[/tex]

V =  33.69[tex]\pi[/tex] or 105.83 depending if you want it in pi for or not

HELP ME PLEASE
bsjsudhdhehe​

Answers

The lines cross at a single point so there is a single solution (A)

What is the solution to the following system of equations?
3x + 2y = 30
y = x + 5

Answers

Answer:

D

Step-by-step explanation:

Answer:

I think this one is C

Step-by-step explanation:

It seems like its counting by 5's and the answer to the first equation

Simplify. Write the answer as a decimal.

Answers

Answer:

what are we simplifying

The table shows values for the equations of a system:
What x-values are a solution to the system?
Select each correct answer
x=-3
x=-2
x=-1
x=0
x=1
x=2
x=3

Answers

According to the table, the solutions to the system of equations are x = 0 and x = 1.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

[tex]y_1 = 0.25^x[/tex]

[tex]y_2 = -0.75x + 1[/tex]

The solutions are the values of x for which:

[tex]y_1 = y_2[/tex]

Looking at the table, the solutions to the system of equations are x = 0 and x = 1.

More can be learned about a system of equations at https://brainly.com/question/24342899

Is the expression 6(1 + m) equal to 6 + 6m? Why or why not? How do you know?​

Answers

Answer:

Yes, they are equal because of distributive property

Step-by-step explanation:

6(1 + m) = 6 + 6m

40 of the cats at the pet store are black, which is 25% of all cats. How many cats are there at the pet store

Answers

Answer:

There are 160 cats at the store.

Step-by-step explanation:

There are 40 black cats, which is 25% of all the cats. You are trying to find all the cats at the store, or 100% of the cats at the store. So:

40 = 25%

40(4) = 25% (4)

160 = 100%

There are 160 cats at the store.

Answer:

160

Step-by-step explanation:

25%=1/4=0.25

=40×4

=160

Which systems of equations have the same solutions?
L (3x+y = 8
1x - 4y = -6
m{$*=*=230
NS 4x – 3y = 2
12% -8y = -12

Answers

Answer:

B. L and N

Step-by-step explanation:

Let's solve each system

✔️System L:

3x + y = 8 => Eqn. 1

x - 4y = -6 => Eqn. 2

x = -6 + 4y

Substitute x = (-6 + 4y) in eqn. 1

3(-6 + 4y) + y = 8

-18 + 12y + y = 8

-18 + 13y = 8

13y = 8 + 18

13y = 26

y = 26/13

y = 2

Substitute y = 2 into Eqn. 2

x - 4y = -6

x - 4(2) = -6

x - 8 = -6

x = -6 + 8

x = 2

Solution to system L = (2, 2)

✔️System M:

4x - 3y = 2 => Eqn. 1

5x - 4y = -30 => Eqn. 2

Multiply eqn 1 by 5, and eqn. 2 by 4

20x - 15y = 10

20x - 16y = -120

Subtract

y = 130

Substitute y = 130 into eqn. 1

4x - 3(130) = 2

4x - 390 = 2

4x = 2 + 390

4x = 392

x = 392/4 = 98

Solution to system M = (98, 130)

✔️System N:

4x - 3y = 2 =>Eqn. 1

2x - 8y = -12 => Eqn. 2

Multiply Eqn. 1 by 2, and eqn. 2 by 4

8x - 6y = 4

8x - 32y = -48

Subtract

26y = 52

y = 52/26

y = 2

Substitute y = 2 into eqn. 1

4x - 3(2) = 2

4x - 6 = 2

4x = 2 + 6

4x = 8

x = 8/4

x = 2

Solution to system N = (2, 2)

Which of the following examples has a unit rate of 70 miles per hour? Select all
that apply.
A) 210 miles in 3 hours
B) 420 miles in 6 hours
C) 280 miles in 5 hours
D) 560 miles in 8 hours
E) 560 miles in 7 hours

Answers

Answer:

A, B and D are the answers.

Answer:

A, B, D.

Step-by-step explanation:

Linda is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 13/20. Find the odds in favor of her character unlocking the treasure chest.

Answers

Answer:

65 percent chance right

Step-by-step explanation:

so she opens it 13 out of 20 times, so divide 13 by 20 and you get it

Finley's pumpkin had a mass of 6.5 kilograms (kg) before he carved it. After carving it, the pumpkin had a mass of 3.9 kg ​

Answers

Answer:

[tex]\%Change = -40\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 6.5kg[/tex]

[tex]Final = 3.9kg[/tex]

Required

Determine the percentage change --- Missing from the question

This is calculated as

[tex]\%Change = \frac{Final - Initial}{Initial} * 100\%[/tex]

[tex]\%Change = \frac{3.9kg - 6.5kg}{6.5kg} * 100\%[/tex]

[tex]\%Change = \frac{-2.6kg}{6.5kg} * 100\%[/tex]

[tex]\%Change = \frac{-260}{6.5}\%[/tex]

[tex]\%Change = -40\%[/tex]

Which of the following ratios is not equivalent to the other two? * 1 1/2, 1:2, or 2 to 1

Answers

Answer:

1 1/2

Step-by-step explanation:

Can you help A B C Or D image is here

Answers

Answer:

A

Step-by-step explanation:

B should be the correct answer

Hassan sells fruits and vegetables at the marketThe mass of fruit and vegetables are in the ratio.
Fruit: vegetables = 5:7
If Hassan sells 1.33 tones of vegetables
then how many kilograms of fruits did he sell?

Answers

Answer:

950 kilograms

Step-by-step explanation:

Fruit: vegetables = 5:7

Fruit = 5

Vegetable = 7

Total ratio = 5 + 7 = 12

If Hassan sells 1.33 tones of vegetables

1 tonne = 1000 kilograms

1.33 tonnes of vegetables = 1330 Kilograms of vegetables

how many kilograms of fruits did he sell?

Let kilograms of fruits sold = x

Fruit: vegetables = 5:7

Fruit: vegetables = x : 1330

5 : 7 = x : 1330

5/7 = x/1330

Cross product

5 * 1330 = 7 * x

6,650 = 7x

x = 6,650/7

x = 950 kilograms

kilograms of fruits sold = 950 kilograms

Four points A, B, C, and d are on a number line, in some order, so that AB=1, BC=2, CD=3, and DA=4. Which two points are farthest away from each other?

Answers

Answer: B or C sorry if its wrong

Step-by-step explanation: have a nice day

Solve -a + 7 = 2a - 8. a=5 D a= 15 a -3 = B a

Answers

We want to solve for a
-a + 7 = 2a - 8
we will add 8 to both sides and simply to
-a + 15 = 2a
We will then add a to both sides and simply to
15 = 3a
We then divide by 3 on both sides to get
a=5

Answer this ASAP the last question that due 5 minutes

Answers

Answer:

C

Step-by-step explanation:

If you graph the points, count boxes from the orgin (0,0).

You will have to go 3 to the right (on x), and up 6 (on y).

i think it is C, sorry if i’m wrong aahh

Jessica has just purchased a new purse in the shape of a rectangular box to match her favorite shoes. The purse has a length of 15 cm, a width of 6.4 cm, and a height of 8 cm. What is the volume of the purse?

Answers

The volume would be 768 cm^3

find the errors and correct the following mathematical sentences:​

Answers

Answer:

You are supposed to correct the equation here not solve it.

Simplify: (8 2/3) ^ 4

Answers

Answer:

the answer is 558175

may it help you

if it’s (8+2/3) ^4 it simplifies to (26/3)^4 which is 5641.67901
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