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

Answers

Answer 1

Answer:

Step-by-step explanation:

m= (3x-1), n= (3x+1)

LHS= x²

RHS= mn+1/9

= [tex]\frac{(3x+1)(3x-1)+1}{9}[/tex]

= [tex]\frac{((3x^{2} )-1^{2})+1 }{9}[/tex]

=[tex]\frac{9x^{2} -1+1}{9}[/tex]

=[tex]\frac{9x^{2} }{9}[/tex]

=x²/1= x²

∴LHS=x²=x²= RHS

Hence proved


Related Questions

The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?

Answers

Answer:

75 boys

Step-by-step explanation:

5:4

? : 60

60/4= 15

?/5=15

 *5  *5

?= 75

Answer:

75

Step-by-step explanation:

To get from 4 to 60, you need to multiply by 15. If you want to find out how many boys there are, simply multiply 5 by 15, which you get 75.

What are some exercises that help me reach my goal?Comment at least with 2 exercises

My goal: to run a full mile without having to stop at least 3 times.

Answers

Answer:

One thing you can do to reach this goal is to practice. If you practice every few days running so you can increase your endurance. During those you can right down how many times you have stopped as your running. This will help you get better and work up to your goal.

please help fast will give brainliest

Answers

Answer:

c?

Step-by-step explanation:

lmk

Answer:

its A and D

Definition of Irrational Numbers : "An irrational number is simply the opposite of a rational number. (Recall that a rational number is one that can be represented as the ratio of two integers. See Rational number definition.) In all the above cases, the fraction will go on for ever with no discernible pattern"

Charli usa bots ][]][[]][[][][][][[][][]][]][][][][]]][

Answers

Answer:

I’m confused

Step-by-step explanation:

but ok?

I NEED HELP ASAP

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.5 centimeter per day.

a. Write a rule to describe the function.

b. After how many days will the zucchini plant be 0.195 meter tall?



A. h(d) = 12d + 0.5; 1.3 days



B. h(d) = [tex]\frac{d}{0.5}[/tex]+12; 4 days



C. h(d) = 0.5d; 39 days



D. h(d) = 0.5d +12; 15 days

Answers

Answer:

a) 12 + 0.5d               d=day

b) 0.195/0.5=0.39d

Step-by-step explanation:

Answer

(a) Find out the  a rule to describe the function.

To prove

Let us assume that the days be represted by d .

Let us assume that the height of plant be represted by y.

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

Than the function becomes

y = 12 + 0.5 × d

y = 12 + 0.5d

(b) Find out after how many days will the zucchini plant be 0.195 meter tall .

To prove

Let us assume that the days be represted by d .

As given

A zucchini plant in Darnell’s garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

As

1meter = 100cm

0.195 meter convert into centimeter.

= 19.5cm

Than the equation becomes

12 + 0.5d = 19.5

0.5d = -12 + 19.5

0.5d = 7.5

d = 15 days

Therefore 15 days will the zucchini plant be 0.195 meter tall .

the difference between y and 20

Answers

Answer:

y + 20

Step-by-step explanation:

The other numbers are N

N - y = 20

N = y + 20

    OR

y - N = 20

N = y - 20

please i need HELP x+y=15 , x-y=3
and

Answers

Answer:

x=9

y=6

Step-by-step explanation:

x+y=15 .............(i)

x-y=3...........(ii)

Subtracting equation (ii) from equation (i)

or,  x+y -(x-y)=15-3

or,  x+y-x+y=12

or,  2y=12

or,  y=12/2

∴y=6

Now,

       Putting the value of y on equation (i),

or,  x+6=15

or,  x=15-6

∴x=9

the value of f(4)

f(x)= (3x+2)/5

plz answer with working

ill give brainilest

Answers

Answer:

14/5

Step-by-step explanation:

Given data

We have the function

f(x)= (3x+2)/5

We want to find  f(4)

Hence, let us place x= 4 in the function

f(4)= (3(4)+2)/5

f(4)= (12+2)/5

f(4)= (14)/5

f(4)=14/5

Hence f(4)=  14/5

A coin and a dice are tossed at the same time. ​

​Select the list that shows all of the possible outcomes.

Answers

Answer:

H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6

1/12

Step-by-step explanation:

ive done this

Triangle HJK and triangle PMK are similar right triangles. The coordinates of all the vertices are integers.
Which statement is true about the slope of HK and the slope of PK?

Answers

Answer:

Step-by-step explanation:

b

can you help me with my question​

Answers

Answer:

im pretty sure its undefined

Step-by-step explanation:

I'd say this because i don't believe you can do anything with the info they give you

Helia invested 4000 AED for 3 years with a compound interest rate of 1.5%, Calculate the worth of her investment at the end of this time period. ( Show each step of your calculation)

Answers

Answer:

4180 AED

Step-by-step explanation:

Given data

Principal= 4000

Time= 3 years

Rate= 1.5%

The compound interest expression is given as

A= P(1+r)^t

substitute

A=4000(1+0.015)^3

A= 4000(1.015)^3

A= 4000*1.045

A= 4180

Hence the worth will be  4180 AED

Select all irrational numbers, o​

Answers

Answer:

A & D

Step-by-step explanation:

took

a coin is flipped and a six-sided die, numbered 1 to 6, is rolled. find the probability of flipping tails and rolling a number less than 3

Answers

Answer:

5/6

Step-by-step explanation:

There is a 1 out of 2 chance that you will roll tails, so the probability is 1/2.

A number less than three is a 2 and 1, so the probability is 2/6.

Add 1/2 + 2/6. (Change 1/2 to 3/6 so you can add.)

3/6 + 2/6 = 5/6

I hope this is correct and helps you!

Can someone help me with this please? its 1 question.

Answers

Answer:

D

Step-by-step explanation:

The answer is D because its the only graph that matches the actual description

A scatter plot is shown:
what type of association does the graph show between x and y? (4 points)

Linear positive association

Nonlinear positive association

Linear negative association

Nonlinear negative association

Answers

Answer:

linear positive

Step-by-step explanation:

it's prolly too late but i need pts and someone to answer my ? so yea

Answer:

Step-by-step explanation:

Linear Postive

Which equation illustrates the Associative Property of Multiplication?
3x)y = 3(xy)
3(x + 2) = 3x + 6
2xy = yx3
3x = 0

Answers

The answer is:
3(x+2)=3x+6

Can someone make a real world problem out of this graph please?​

Answers

Answer:

John just finished eating lunch and wants something sweet, he decides to get him and his coworkers some cookies. He goes to a store where they have a sale on cookies, 3 cookies for 1$. If he want to give each coworker and himself 2 cookies how much will it cost? (he has 11 coworkers)

Step-by-step explanation:

calculate y=3x−5 for x=−2,
also dont put the answer in a file i need to download. answer regularly pleasee

Answers

Answer:

y=-11

Step-by-step explanation:

y=3x-5; x=-2

y=3(-2)-5

y=-6-5

y=-11

Answer:

Y= -11

Step-by-step explanation:

3(-2) = -6

-6-5 = -11

Which of these is the algebraic expression for some number to the power of 4​

Answers

Answer:

x^4

Step-by-step explanation:

no options, but pretty ez without it

x^4 (the up arrow means the number after is a power)

Answer:

you need to give us the question. please repost this question with the options

Step-by-step explanation:

Can someone plz help meeeeee

Answers

Answer:

18 Meters

Step-by-step explanation:

1:6 ratio

3 * 6 = 18

Answer:

18 cm

Step-by-step explanation:

what is area how do you find the area if a rectangle​

Answers

Answer: To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Step-by-step explanation:

Answer:

If it is a rectangle you just do A=w*h

width times height

you don't have a picture showing the rectangle so I can't find the area

Step-by-step explanation:

What is 7/8+3/4 I need help

Answers

Answer: 1 5/8

Step-by-step explanation: 3/4 times 2 on the denominator and numerator is 6/8 and 7/8 plus 6/8 is 1 whole and 5/8ths

A 90° angle is divided into 2 angles.
Find the size of the angles.
3x + 40
4x - 6
Diagram not drawn accurately

Answers

Answer:

this angle's sum is 90°

(3x+40)°+(4x-6)=90°

7x+34=90°

7x=90-34

7x=56

x=56/7

x=8

3x+40 = 3×8+40 = 64°

4x-6 = 4×8-6 = 26°

Slope intercept form of points 0, -4 and -1, 4

Answers

Answer:

[tex]y=\frac{0}{-1} -4[/tex]

Step-by-step explanation:

first, you have to find the slope, and to do that you use this equation [tex]\frac{y2-y1}{x2-x1}[/tex]

     so, now to insert your points (0,-4), (-1,4)

                                                      (x1,y1)  (x2,y2)

[tex]\frac{4-4}{-1-0} = \frac{0}{-1}[/tex]

now that you have the slope you can find the y-intercept of the slope-intercept form by looking at your first point (0,-4) and get -4

- if you were to look at this point on a graph it would be on the y-axis therefore, -4 is the y-intercept [if you don't have a point like this one then you can look at a graph with one of your points and make a slope until you are on the y-axis :)]

therefore, the slope-intercept form is y=[tex]\frac{0}{-1}[/tex] -4

[ps, your slope is a zero slope :)]

Answer:

y = - 8x - 4

Step-by-step explanation:

y = mx + b

"m" is slope, "b" is y-intercept.

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~~~~

(0, - 4) are coordinates of y-intercept.

( - 1, 4)

m = [tex]\frac{4 + 4}{-1-0}[/tex] = - 8

y = - 8x - 4

Someone HELP ASAPPPP PLZZ

Answers

Answer:

C

Step-by-step explanation:

hope this helps.

the correct answer would be option 2

Mr. Kramer's patio is in the shape of a trapezoid. The trapezoid and its dimensions are shown below. What is the area of the patio? A 144 square feet B 360 square feet C 315 square feet D 252 square feet

Answers

Answer:

C 315

Step-by-step explanation:

(12 + 30) * 15/2 = 315

The area of the trapezoidal patio is 252 ft².

What is a trapezoid?

A trapezoid is a polygon that has only one pair of parallel sides. These parallel sides are also called parallel bases of trapezoid. The other two sides of trapezoids are non-parallel and called legs of trapezoids.

Given that, Mr. Kramer's patio is in the shape of a trapezoid, we need to find its area,

So, the area of the trapezoid is = sum of the parallel sides × height/2

= 12 + 30 × 12/2

= 42 × 6

= 252

Hence the area of the trapezoidal patio is 252 ft².

Learn more about trapezoid, click;

https://brainly.com/question/8643562

#SPJ3

If d = the number of dogs, which variable expression represents the phrase
below?
the sum of the number of dogs and the 6 cats
O A. 046
O B. d+6
O C. d-6
O D. d.6

Answers

Option B. d+6

The number of dogs is a variable expression while the number of cats is a fixed expression

simplify -2+3(1-4)-2​

Answers

Step-by-step explanation:

-2+3-12-2

1+15=16 Answer

hope it helps

Answer:

-13

Step-by-step explanation:

-2+3(1-4)-2

-2+3(-3)-2

-2-9-2

-13

if there's 4 quarts in 1 gallon, how many gallons are in 200 quarts

Answers

Answer:

the answer is 50 gallons

Step-by-step explanation:

200/4 = 50

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