40 POINTS FOR ANYONE THAT CAN Answer

n is the middle integer of three consecutive positive integers.
The three integers are multiplied to give a product.
n is then added to the product.
Prove that the result is a cube number.
n must be used in your proof.
Your final line must consist of only,
= n^3

Answers

Answer 1

Answer :

[tex]\boxed{\textsf{ The final answer is \textbf{n}$^{\textbf{3}}$ .}}[/tex]

Step-by-step explanation:

Its given that n is the middle out of the three consecutive integers . So ,

The last integer will be :-

[tex]\sf\implies Last \ Integer \ = \ n - 1 [/tex]

The next Integer will be :-

[tex]\sf\implies Next \ Integer \ = \ n + 1 [/tex]

Now the Question says that the three integers are multipled to give a product . So that would be.

[tex]\sf\implies Product_{(three\ consecutive\ integers)}= (n-1)n(n+1) = (n^2-1)(n) = \pink{n^3-n}[/tex]

Now thirdly it's given that n is added to the given integer . That would be ,

[tex]\sf\implies Adding\ n = \ n^3 - n + n = \pink{n^3} [/tex]

Here - n and +n gets cancelled. So we are ultimately left out with n³.

Hence the final number is a cube of some number.


Related Questions

What is the value of x in the solution of the following system of equations: 3x + 2y = 12 and 5x - 2y = 4 ?

Answers

Answer:B

Step-by-step explanation:

Answer: x=  4  −  2 y /3

Step-by-step explanation:

Evaluate the following function for f(4). F(x)=2x-12

Answers

F(x)= 2(4)-12
F(x)= 8-12
-4 is the answer

Help, I have to turn this in soon

Answers

Answer:

b

Step-by-step explanation:

i got a 100 on it yesterdy

Answer:

A - Congruent segments

B - Perpendicular bisector

C - Angle Bisector

D - Congruent angles

Is every rhombus with four right angles is a square. True or False

Answers

Answer:

True.

Step-by-step explanation:

A rhombus has four side of the same length (sometimes) and bisecting diagonals.

A square has what a rhombus has, as well as what a rectangle has.

A rectangle has parallel sides, four right angles, and congruent diagonals.

That means that a square has four right angles, four sides of the same length, and bisecting diagonals.

That's why a square is a rhombus and a rectangle but not its converse.

So, true.

Every rhombus with four right angles is a square. Therefore, the given statement is true.

What is a rhombus?

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square. Look at the image below to understand the relationship of rhombus shape with parallelogram and square.

A square is a quadrilateral with four equal sides. There are many objects around us that are in the shape of a square. Each square shape is identified by its equal sides and its interior angles that are equal to 90°.

Therefore, the given statement is true.

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Hunter and his children went into a movie theater and will buy bags of popcorn and drinks. Each bag of popcorn costs $5.50 and each drink costs $6. Hunter has a total of $80 to spend on bags of popcorn and drinks. Write an inequality that would represent the possible values for the number of bags of popcorn purchased, bb, and the number of drinks purchased, d.d.

Answers

Answer:

......

Step-by-step explanation:

.......

Answer:

5.50b+6d≤80

Step-by-step explanation:

One bag of popcorn costs $5.50, so bb bags of popcorn cost 5.50b.5.50b. One drink costs $6, so dd drinks cost 6d.6d. The total 5.50b+6d5.50b+6d must be less than or equal to \$80:$80

combine the following fractions and express in fully reduced form.
x/5+4/3

Answers

Answer:

3x+20/15

Step-by-step explanation:

Doug earns $10.50 per hour working at a restaurant. On Friday he spent 1),hours cleaning, 2+)hours doing paperwork, and 10+*hours serving customers. What were Doug's earnings?A$46.97B$47.25C$53.00D$57.75

Answers

Complete question :

Doug earns $10.50 per hour working at a restaurant. On Friday he spent 1 3/4 hours cleaning, 2 1/3 hours doing paperwork, and 1 5/12 hours serving customers. What were Doug's earnings?A$46.97B$47.25C$53.00D$57.75

Answer:

$57.75

Step-by-step explanation:

The total hours spent working :

1 3/4 + 2 1/3 + 1 5/12

7/4 + 7/3 + 17/12

L.C.M = 12

(21 + 28 + 17) / 12

= 66 / 12

= 5 6/12

= 5 1/2

Hourly pay = $10. 50

Total earning :

Total hours * pay per hour

5.5 hours * $10.50

= $57.75

Draw a diagram of x + 3 and 2x for each situation:
x = 1
x = 2
x = 3
x = 4

Answers

The diagram of x + 3 and 2x are as drawn in the image attached

How to draw a diagram of x + 3 and 2x?

Given the situations: x = 1, x = 2, x = 3 and x = 4

For  x + 3

x = 1, x+3 = 4

x = 2, x+3 = 5

x = 3, x+3 = 6

x = 4, x+3 = 7

For  2x

x = 1, 2x = 2

x = 2, 2x = 4

x = 3, 2x = 6

x = 4, 2x = 8

You will use the values of x and y = x+3, and the values of x and y = 2x to draw the diagram of the lines as shown in the attached image

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Manuel needs to buy a binder, which costs $5. He would also like to buy some folders, which cost $0.75 each. He has $12. What algebraic statement can you use to find the possible number of folders he can buy?

Answers

Answer: (12 - 5) / 0.75
Explanation: first to make the statement you must subtract $5 dollars from your total of $12 dollars so that you can buy the binder, and then you divide what you have left by $0.75 and that will get you the amount of folders you can buy

PLEASE HELPPP
which of these choices are equivalent to the quotient below check all that apply square root of 100 over the square root of 20

Answers

Answer:

A

Step-by-step explanation:

Select the correct answer.
Which statement about a histogram is true?
A.
Histograms can plot both positive and negative values on both axes.
B.
Histograms can be used to exhibit the shape of distributions.
C.
Histograms are plots of individual data values.
D.
Histograms show the division of quartile regions for a distribution.

Answers

Answer:

answers B

Step-by-step explanation:

Determine the equation of the circle graphed below.

Answers

Answer:
(-1,3)
Explanation:
Just-an educated-guess

The sum of the heights of two brothers is 10 feet, 4 inches. The difference between their heights is 10 inches. How tall is the shorter brother? (12 inches = 1 foot; Remember to convert into inches first and then into feet at the end.) Let the height of the taller brother = x and the height of the shorter brother = y.
4.75 ft
4.5 ft
4 ft
4.58 ft

Answers

Answer:

4.5 ft

Step-by-step explanation:

Let us assume the height of the taller brother be x

And, the height of the shorter brother be y

Now according to the question

x + y = 10.33

x - y = 0.833

Now solve these two equations

2x = 11.666

x = 5.833

y = 10.33 - 5.83

= 4.5 ft

I wanna do good on this plz help me!!

Answers

Answer:

2/1

Step-by-step explanation:

JA is the same side as KM

JA=24, KM=12

24/12=2

PLS HELP AAAH I NEED THIS ASAP GIVING BRAINLEST TO CORRECT ANSWER!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

They rise upward and to the right, i.e., the both have positive slopes.

They both start from the origin, i.e., their y-intercepts are zero.

A rectangular-shaped parking lot is to have a perimeter of 458 yards. If the width must be 51 yards because of a building code, what will the length need to be?​

Answers

Answer:

178 yards

Step-by-step explanation:

458-(51 times 2)

356/2

178

PLEASE HELP ASAP ITS DUE TODAY!

1) y = -1(5x) and x = 3

a) -125
b) -0.02
c) 8
d) 9

2) y = 0.25 (6x) and x = 2

a) -125
b) -0.02
c) 8
d) 9
e) 162

3) y = -2(0.1x) and x = 2

a) -125
b) -0.02
c) 8
d) 9
e) 162

Answers

1) y=-15
2) y=3
3) y=.4

What relationship do you notice between the squares of
the right triangle?

Answers

Answer:

The special relationship that exists between the squares of the lengths of the sides of a right triangle is known as the Pythagorean Theorem. The Pythagorean Theorem states that the sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.

This is all I know.Hope it helps~Good luck with your work!!~    \^o^/

PLZ HELP I NEED HELP ASAP PPLLLZZZZ

Answers

1 and 2/5 ft after you multiply both length and width.

A box filled with many different color crayons there are 40 white crayons 24 green crayons 12 red crayons 24 golden crayons and 20 blue crayons if you have to select a crayon without looking into the box what is the probability that you will pick a white or blue crayon do you guys now the answer

Answers

Answer: The answer is 50%

Step-by-step explanation: You have to add up all of the values to get the total number of crayons. Then after, you have to divide the amount of blue and white crayons by the total amount of crayons.

increase 92 by 35%. need full explanation ​

Answers

Answer:

124.2

Step-by-step explanation:

increase 92 by 35% would be to multiply 92 by 135%

92(135%)=92(1.35)=124.2

Darren and his 2 sisters want to equally share 17 tokens at an arcade. How many tokens will each of them get

Answers

Answer:

6

Step-by-step explanation:

3 divided by 17 there will be 1 left over

Plz, HELP me with this question! Plz, HELP me with this question!

Answers

Answer:

G The theoretical probability is less than the experimental probability

Rearrange the formula to make a the subject.

Please help.

Answers

Answer:

[tex]a = \frac{5b+w-2}{15}[/tex]

Step-by-step explanation:

[tex]w=5(3a-b)+2\\w-2 =5(3a-b)\\w-2 = 15a - 5b\\w-2+5b = 15a \\5b+w-2= 15a\\a = \frac{5b+w-2}{15}[/tex]

which pairs of expressions below are equivalent . ?​

Answers

Answer:

It should be the second option

Step-by-step explanation:

I hope this helps you

A graph shows day labeled 2 to 10 on the horizontal axis and miles on the vertical axis. A line decreases from 1 to 2, increases from 2 to 3, decreases from 3 to 5, increases from 5 to 8, decreases from 8 to 9, and increases from 9 to 10.
The scatterplot shows how many miles Marissa jogged over 10 days. Which statements are true? Check all that apply.

Marissa jogged 5 miles on the first day.
Marissa jogged 6 miles on the second day.
Marissa jogged 9 miles on the third day.
Marissa jogged 3 miles on the fourth day.
Marissa jogged 3 miles on the ninth day.

Answers

Answer:

A. Marissa jogged 5 miles on the first day.

D. Marissa jogged 3 miles on the fourth day.

E. Marissa jogged 3 miles on the ninth day.

Step-by-step explanation:

Edge 2021

Marissa jogged 5 miles on the first day, Marissa jogged 3 miles on the fourth day and Marissa jogged 3 miles on the ninth day are true statements.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

In this we have to observe the graph and say which alternatives are correct, so we have:

The alternatives A,D and E

then looking at the graph, we can see that the following facts are indicated:

Marisa jogged 5 miles on the first day.

Marisa jogged 3 miles on the second day.

Marisa jogged 4 miles on the third day.

Marisa jogged 3 miles on the fourth day.

Marisa jogged 3 miles on the ninth day.

Hence, Marissa jogged 5 miles on the first day, Marissa jogged 3 miles on the fourth day and Marissa jogged 3 miles on the ninth day are true statements.

To learn more on Graph click:

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Please help me with this problem

Answers

Answer:

i cant see the pic please send a better one and i reloaded it and it still does not work

Step-by-step explanation:

12) 44°
acute
obtuse
right
straight

Answers

Acuse because and acuse angle is under 90 degrees and obtuse is not

Answer:

Acute

Step-by-step explanation:

Anything bellow 90 degree is acute

Anything above 90 degree is obtuse (except 180)

A right is just 90 degrees

and straight is just 180 degrees

hey Heyy njknckslje whas good people

Answers

Answer:

.

Step-by-step explanation:

Answer:

make a zo-om my dude

Step-by-step explanation:

Your sister is 2 yrs. Older than your brother. Their age combined is 30 yrs. What is your sisters age?

Answers

Answer:

the sister is 16

Step-by-step explanation:

30-14= 16 and thats a 2 year difference

Answer:

sister is 16

Step-by-step explanation:

explanation:

16+14=30

so the sister is 16 and the brother is 14. if that makes any sense ;)

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