Prove that with any natural number n (5n-4)^2-(2n+11)^2 divides by 21

Answers

Answer 1

Answer:

let natural no be 1

(5.1-4)^2-(2.1+11)^2/21

25-16-4-121/21

-5.52

Step-by-step explanation:

plz maje me brainliest


Related Questions

In your own words explain how you would solve this two step equation for the variable x. 9x-7=-7

Answers

Answer:

Add 7 to both sides

Step-by-step explanation:

The equation has to be just x = y

There cannot be another number on the same side as the variable

Now that we did that, the equation is 9x = 0

x = 0

Well, that was easy lol

Answer:

Step-by-step explanation:

Add 7 to both sides

9x = 0

Then divide by 9 both sides to get x by itself

x = 0

Elijah played 98 consecutive games of soccer without being taken off the field. Then, after a single game on the sidelines, he played another string of consecutive games, although this string was 50% shorter. How many consecutive games was that?

Answers

Answer:

If the game will start at 11:00 A.M., but the players must arrive at the field three-quarters of an hour early to warm up, it refers to 8:45 a.m. Why? If we start to count in 11 backward and start to trace the three-quarters, it shows that 10:45, 9:45, and 8:45 are the three-quarters. So Hamid statement that he has to be at the field at 9:45 A.M is not correct.  

Step-by-step explanation:

this time I cannot tell what the answer is ​

Answers

Answer:

Its the first one

Step-by-step explanation:

B is the correct answer

Luisa found great deals on the target dollar spot. She bought 35 items and spent a total of $100 on earbuds ($2 each) and fuzzysocks ($3 each). How many earbuds did she buy? how many fuzzy socks did she buy?

Answers

Answer:

50 earbuds because

Step-by-step explanation:

    half of 100 is 50

Answer:

x=35 earbuds

Step-by-step explanation:

-7 times a = 14? a = -7, right?

Answers

Answer:

− 7 ⋅ a

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

Answer:

a = -2

Step-by-step explanation:

-7 * -2 = 14

what is the solution of the exponential equation? use a graph. full calculations,[tex]27=3^{x-2}[/tex] please!!

Answers

Answer:

5

Step-by-step explanation:

if i really need to use a graph leave a comment

27=3ˣ⁻²

[tex]x=y^z\\=\\log_{y}x=z\\[/tex]

Which means that

[tex]27=3^{x-2}=\\log_327=x-2\\log_327=\frac{log27}{log3}=3\\3=x-2\\x=5[/tex]

Edward deposited $8,500 into a savings account 5 years ago. The simple interest rate is 3%. How
much money did Edward earn in interest?

Answers

Answer:

1275

Step-by-step explanation:Step-by-step explanation:

For us to get the Simple interest, we have to use the formula:

= PRT

= Principal × Rate × Time

= $8500 × 5% × 3

= $8500 × 5/100 × 3

= $8500 × 0.05 × 3

= $1275

solve each equation below showing every step checking your solution is optional​

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

for question d, 58.3 repeated

Step-by-step explanation:

cross multiply 3x=175

175/3= 58.3 repeated or 58 and one third.


Complete the table.
Original Price
Percent of Discount 25%
Sale Price $40

Answers

The original price is $53.33, as per linear equation.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."

Given, the percent of discount 25% = 0.25.

Sale price $40.

Let, the original price is x.

Therefore, [x - (x × 0.25)] = 40

⇒ (x - 0.25x) = 40

⇒ 0.75x = 40

⇒ x = (40/0.75)

⇒ x = 53.33

Therefore, the original price is $53.33.

Learn more about a linear equation here: https://brainly.com/question/2984088

#SPJ2

Write this is standard form and give degree

Answers

Substitute -2 for x

2(-2)^3 - 5(-2)^2 + 4(-2) - 1

-16 - 20 - 8 - 1

-45

Degree is 3 (exponent of leading coefficient)
And cannot write in standard form

A man ran 20 miles in 2 hours. Calculate the average time that it took the man to run each mile in minutes.

Answers

Answer:

he ran 3 miles in 8 mins

Step-by-step explanation:

Its not a quiz/test its homework thats due in a bit :)
Just to clear any misunderstandings that might arise

Answers

Answer:

MN = 25

Step-by-step explanation:

If LN=45, then the addition of both quantities will be 45.

LN = 3x + 2 + x + 19

3x + 2 + x + 19 = 45

4x + 21 = 45

4x = 45 - 21 = 24

x = 6

Now that we found the value of "x", we can find the lenght of MN

MN = x + 19

MN = 6 + 19

MN = 25

Hope it was helpful ;)

Answer: MN = 25

Step-by-step explanation:

Since the length is already given we just add the equations equal to it.

45 =  3x + 2 + x + 19  Combine like terms

45 = 4x + 21               Subtract 21 from both sides

24 = 4x                       Divide by 4

x = 6

Now we plug x into the equation needed.

X + 19

6 + 19 = 25

Using the slope​ formula, find the slope of the line through the given points.
(6,6) and (8,2) what is the slope line

Answers

Answer:

-2

Step-by-step explanation:

To do this you just have to do the slope formula which is y2-y1/x2-x1 then plug in the numbers so you get 2-6/8-6  which would get you which can be reduced to -2 so that would be the answer

Cone A has a diameter of 12 meters and a slant height of 9 meters. The linear dimensions of cone B are 5 times the linear dimensions of cone A. Compare the volume of cone B to the volume of cone A.
******ill give brainliest plz help me*****

Answers

Answer:

Cone volume formula

To calculate its volume you need to multiply the base area (area of a circle: π * r²) by height and by 1/3: volume = (1/3) * π * r² * h

Step-by-step explanation:

what is the original length of a cube if, after a one-inch thick slice is cut from one of the sides the volume that remains is 180 cubic inches

Answers

Answer:

343 - 49 = 294? Yepper. So the answer is 7.

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

Help Me Plz I need a good grade

Answers

Answer:

The answer might be 160 degrees

Step-by-step explanation:

Please mark s brainlest.

Answer:

x=120 (x-60)=60

Step-by-step explanation:

Because the unlabeled angle and right angle are parallel we can assume that the unlabeled angle will be 90 degrees.

90+90+x+(x-60)=360

120+2x=360

-120 -120

2x=240

x=120

(x-60)

120-60

60

When solving the inequality 3x - 2 < 8x + 10, the next line
becomes 3x < 8x + 12. Which property justifies this step?
(1) Distributive
(2) Associative
(3) Multiplicative Property of Equality
(4) Additive Property of Equality

Answers

The answer is 3 hope this helps

The sum of three numbers is 107 . The first number is 8 less than the third . The second number is 3 times the third . What are the numbers ?

Answers

First number = x
Third number = x - 7
Second number = 2(x - 7)
x + 2(x - 7) + x - 7 = 107
x + 2x - 14 + x - 7 = 107
Collect like terms.
4x - 21 = 107
4x = 128
x = 32
First number = 32
Second number = 50
Third number = 25
Total = 107.

Answer:

(x - 8) + 3x + x = 107

x - 8 + 3x + x = 107

5x - 8 = 107

5x = 115

x = 23, SO...

The first number is 23-8, which is 15

The second number is 3 x 23, which is 69

The third number is 23

15 + 69 + 23 = 107 CHECK!

Step-by-step explanation:

BC has endpoints B(-3,-5) and C(12,12). FInd the coordinates of the midpoint of BC

Answers

Answer:

(9/2, 7/2)

Step-by-step explanation:

The easiest way to remember how to do this problem is to average the x-coordinates and average the y-coordinates.

So, in your problem (-3 + 12)/2 = 9/2   and  (-5 + 12)/2 = 7/2

The midpoint is (9/2, 7/2)

Solve 20x - 8 = 18x + 6

Answers

Answer:

x = 7

Step-by-step explanation:

Combine like terms:

2x = 14

x = 7

tanks the question below

Answers

Answer:

Option A

Step-by-step explanation:

Your choice is correct, this is A

y-intercept is the coordinate of the point at which discount is zero and amount spent is $7.5

Answer:

Option A

Step-by-step explanation:

Your choice is correct, this is A

y-intercept is the coordinate of the point at which discount is zero and amount spent is $7.5

Which of the following is a solution of x2 + 4x + 6? (1 point)

Answers

Answer:

I LOVE ALGEBRA anyways

othe ans is in the picture and the steps how  got the ans

(hope it helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

Paul raised $48 for a local charity. Sara raised $8. How many times as much money did Paul raise than Sara?

Answers

Answer:

answer is 6

Step-by-step explanation:

48/8=6

hope this helps!

Answer:

6

Step-by-step explanation:

48/8=6

3r+2b

1) 2
2) 2b
3) 3
4) 3r

Answers

Answer:

the answer is 3r + 2b

Step-by-step explanation:

because they are two completely different terms, they need to have both same terms like: 2r + 3r= 5r, you can do that because they are like terms, Let me know if I'm right

what is the midpoint

Answers

The answer is (4, 3). Hope this helps!

7 pink flowers, 9 purple flowers, and 5 white flowers. What is the ratio of purple flowers to total flowers?

Answers

Answer:

9:21

Step-by-step explanation:

Answer:

9:12

Step-by-step explanation:

There are 9 purple flowers, 7 pink flowers, and 5 white flowers.

If you want the ratio of purple to the total, all you have to do is add the pink and white flowers together.

So the answer would be...

9:12

A football field is 160 feet wide and 100 yards long from goal line to goal line. In feet, how far is it
from one corner of the goal line to the opposite corner of the other goal line (diagonally)? (Give
answer to the nearest foot). 1 yard = 3 feet.

Answers

Answer:

howdy

Step-by-step explanation:

A rectangular garden is to cover 416 square feet of area. If the width is 10

feet less than the length, find the dimensions of the garden.

Answers

Answer:

Length = 26 feet, Width = 16 feet

Step-by-step explanation:

Let the length be l.

Width b = l-10

The area of a rectangular garden, A = 416 feet²

We need to find the dimensions of the garden. The area of a rectangular shaped object is given by :

[tex]A=lb\\\\l(l-10)=416\\\\l^2-10l-416=0\\\\l=26\ ft,-16\ ft[/tex]

Neglecting the negative value, the length of the garden is 26 feet and the width is 12-10 = 16 feet.

Pls 79 points and no fake I will report you

Answers

Answer:

A: False

B: False

C: True

D: False

E: True

Step-by-step explanation:

Every true answer has a reasonable amountable difference.

Surprised to see someone not faking for points?

Hope this helped!

7. As x increases without bound, which of the following eventually has greater function values than all the others for the same value of z?
A. f(x) = 3x^2
B. f() = 2x ^3
C. f(x)3(2)
D. f(x) = 3x + 2

Answers

Answer:

Yh

Step-by-step explanation:gg

Answer:

the answer is that i truly am gay and  that i will always be gay.

Step-by-step explanation:

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