If m = (3x-1) and n = (3x+1),sjow that x² = mn+1 by 9​

Answers

Answer 1

Answer:

See proof below

Step-by-step explanation:

Given that m = (3x-1) and n = (3x+1)

Taking the product

mn = (3x-1)(3x+1)

mn = 9x^2+3x-3x-1

mn = 9x^2 - 1

mn+1 = (9x^2-1+1)

mn+1 = 9x^2

Dividing both sides by 9

(mn+1)/9 = (9x^2)/9

(mn+1)/9 = x^2

Swap

x^2 = (mn+1)/9

This shows the required proof


Related Questions

It’s number 15 plzz help HELP IT FOR TODAY

Answers

Answer: 18°

Step-by-step explanation:

Let's remember that all triangles must add up to 180°

So let's take our two given angles and add them

119°+43°=162°

Now take 180° and subtract it from 162°

180°-162°=18°

Mitosis is a process by which 1 cell divides and becomes 2 cells, those 2 cells divide and become 4 cells, and so on. Write an equation for the nth term of the geometric sequence giving the numbers of cells at each stage of this process, where a1=1. Then find a10.

Answers

Answer:

An equation for the nth term is aₙ = 2ⁿ⁻¹

and a₁₀ = 512

Step-by-step explanation:

From the question, 1 cell divides and becomes 2 cells, those 2 cells divide and become 4 cells, and so on

∴The sequence will be

1,2,4, ..., n

From the formula

aₙ = a₁rⁿ⁻¹

Where aₙ is the nth term

a₁ is the first term

n is the number of terms

and r is the common ratio

From the sequence,

a₁ = 1,

r = a₂/a₁ = 2/1 = 2

∴ The nth term (aₙ) will be

aₙ = (1)(2)ⁿ⁻¹

aₙ = 2ⁿ⁻¹

Hence, an equation for the nth term is aₙ = 2ⁿ⁻¹

To find a₁₀, substitute n= 10 into the equation

aₙ = 2ⁿ⁻¹

Then

a₁₀ = 2¹⁰ ⁻ ¹

a₁₀ = 2⁹

a₁₀ = 512

∴ a₁₀ = 512

Jane bought 5 apples at $120 each. She sells them to John to make a profit of 10%. What is the selling price of each apple?​

Answers

Answer:

she resells each apple for $132

Step-by-step explanation:

I multiplied 120 by 0.1 to find how much she would be marking up the price of each apple. I got the answer of $12. So then I added that $12 to $120 and got the new price of $132.

I checked my work I swear it's correct

hope this helps chu <3

how many millimeters are in 6
decimeters ​

Answers

Answer:

Step-by-step explanation:

6dm=60 cm=600 mm

I need help with this anyone know the answer ??

Answers

Answer:

D.

Step-by-step explanation:

Focus on one point and see how it shifts.

Now just count the unit shifts.

Whoever gives correct answer gets brainliest

Answers

Answer:

2125

Step-by-step explanation:

175 / 7 = 25

25 * 85 = 2125

Answer:

3.4 miles

Step-by-step explanation:

If the function g(x)= f(x)+ k

what value of k makes (0,9) the y-intercept of g(x)?

Answers

Answer: the answer is A

A)15

B)11

C)-11

D)-15

Step-by-step explanation: these are the answer choices right because I’m on this problem rn

Kirans aunt is 17 years older than kiran.

how old will kiran aunt be when kiran is 15 years old

30 years old

x years old

Answers

Answer:

Kiran's Aunt will be 32

Step-by-step explanation:

When Kiran was born her/his Aunt would be 17 as the problem says, so just add 15 to 17 to make 32; therefore Kiran's Aunt is 32 years old when Kiran is 15 years old. :)

Answer:

She would be 32 years old.

Step-by-step explanation:

Hope this helps.

Fifty identical balls are numbered 1 through 50 and placed in a bucket. Then, a ball is randomly selected from the bucket. Select a decimal for each blank to make the sentence true.

Answers

Answer:

Blank 1: 0.12

Blank 2: 0.18

Step-by-step explanation:

Out of 50, there are 6 numbers that contain the digit 5, (5, 15, 25, 35, 45, 50)

so when you take 0.06 and multiply it by 2 (because you have to multiply 50 by 2 to get 100), you get 0.12.

For blank 2, there are 9 single digit numbers, (1, 2, 3, 4, 5, 6, 7, 8, and 9) equaling 0.09. Multiply that by 2 and you get 0.18.

draw representation of the expression a+12=b

Answers

Answer:

im gonna try..

a + 12 = b

b = a+ 12

aᗴr

i think this is wrong but worth a try

Work out the area of the triangle 15m 28m 17m 25m

Answers

Answer: hope this helps can I out the image and can u give me brainliest

Step-by-step explanation:

PLEASE HELP! DUE TONIGHT

Answers

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Apparently x+1<5, so the arrow has to go backwards. It also means that x can be 4 or lower, but not 5, so we can add a shaded circle to represent that.

Hope this helps! If it did, please give brainliest! :)

how to know if the problem is side angle side ​

Answers

Answer:

if you have a pic i may know what you are talking about better and i will try to help you

Step-by-step explanation:

if you are talking about a missing angle of a right triangle i can tell you how to do that

Simplify to a single power of 2

Answers

Answer:

the answer is 2 and 1

Step-by-step explanation:

0 votes

Step-by-step explanation:This leads to another rule for exponents—the Power Rule for Exponents. To simplify a power of a power, you multiply the exponents, ...  More

Ms.Patterson has 30 essays to grade.She already graded 4 fifths of the essays.How many essays has she already graded.

Answers

30/5 = 6. 6x4 = 24. She’s graded 25 essays

helpppppppppp please!

Answers

Answer:

c is the answer

Step-by-step explanation:

hope this helps

Answer:

The answer would be A

Step-by-step explanation:

3 x 4pt and 3 x p which equals 12pt + 3p

im in the 6th grade and dont know this lol

Answers

answer is 7c
5c + 2c
5+2

Answer:

D) (c+c)+(c+c+c+c+c)

Step-by-step explanation:

It's been awhile but I'm pretty sure that this is the correct answer. I hope that this helps :)

How many solutions does this system have?​

Answers

Answer:

One

Step-by-step explanation:

The solution to the system is (1, 5)

Answer:

one

Step-by-step explanation:

24x-17x>13x+15 please help me with this question

Answers

Answer:

2.5

Step-by-step explanation:

clara simplifies (8b

Answers

Answer:

8b estaSIMPLIFIC ADA

Step-by-step explanation:

7. Question Category: Solving Quadratic Equations by Factoring Select the correct answer. Solve the following quadratic equation. (4x + 3)(x- 6)=0
A) x = -6, 3/4
B) x = -3/4, 6
C) x = 4/3, 6
D) x= - 3, 3/2

Answers

Answer:

Option B

Step-by-step explanation:

Find the zeros of each factor thus,

4x+3=0

x=-¾

And x-6=0

x=6

Answer:

Step-by-step explanation:

I’ll give u 10 points 5 for answer 5 for explanation

Answers

Answer:

it will be -3 bc a - and a + will always be a - :))

Step-by-step explanation:

The diagram shows a sector of a circle of radius 6 units, formed from an angle of size 310,
Find the exact length of the arc.

Answers

Answer:

32.47619

Step-by-step explanation:

length of the arc =310/360 ×2(22/7)×6

=32.47619 units

15:3 in its simplest form

Answers

Answer:

5/1 or just 5

Step-by-step explanation:

rigtht 15:3 as 15/3 and then cancel 15 and three (3x1=3 and 3x5=15)

some one help please

Answers

Hey!
The answer for the first one is 780.
The answer for the second one is 17.55

Hope this helps! Can I please have Brainliest? have a great day!!

Answer:

so for the "9.39 is 5% of what number" its 19.5 and for the "Find 6.75% of 260 its 17.55

Step-by-step explanation:

So for the first one its just asking what is half of 9.39, and for the second one, you just need to find the 6.75% of 260.

Why should money for eating out at a restaurant be taken from the entertainment budget instead of from the food budget?
Select the best answer from the choices provided.
OA. Eating out at a restaurant is a luxury, not a necessity.
ОВ. The entertainment budget is larger than the food budget.
O c. Some restaurants provide live entertainment.
OD.
Eating at a restaurant is more fun than eating at home.
Reset
Next
021 Edmentum. All rights reserved.

Answers

Answer:

A

Step-by-step explanation:

it would be A because a necessity would be getting food from the grocery store

8 + 2(x - 1) = 10

Solve, explanation is good.

Answers

Answer:

x = 2

Step-by-step explanation:

8 + 2(2 - 1) = 10

8 + 2(1) = 10

8 + 2 = 10

10 = 10

A student has two part-time jobs. He earns $8.50 per hour for babysitting and $11.50 for each lawn he mows. If the student babysits for 512 hours and mows 7 lawns, how much money will he earn?

Answers

Answer:

Step-by-step explanation:

What is the greatest possible value for STATS in the cryptarithm shown here given that V = 1? [Different letters represent different digits, and no leading digit can equal 0.]

Answers

Answer:

97879

Step-by-step explanation:

Give me brainliest

100x56 Show work for brsinly

Answers

Answer:

5600

Step-by-step explanation:

100 times 56 = 5600 because you add the two zeros from the 100 to 56, etc.

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