Solve the system of equation

Answer: 2.25

2.25 x 4 = 9, and a square has 4 sides, so 2.25 is your answer ! : )

Given:

The equation is:

[tex]\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{7}{12}[/tex]

To find:

The value of x.

Solution:

Formulae used:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex](a-b)(a+b)=a^2-b^2[/tex]

We have,

[tex]\dfrac{x+1}{x-1}-\dfrac{x-1}{x+1}=\dfrac{7}{12}[/tex]

Taking LCM, we get

[tex]\dfrac{(x+1)^2-(x^2-1)^2}{(x-1)(x+1)}=\dfrac{7}{12}[/tex]

[tex]\dfrac{x^2+2x+1-(x^2-2x+1)}{x^2-1^2}=\dfrac{7}{12}[/tex]

On cross multiplication, we get

[tex]12(x^2+2x+1-x^2+2x-1)=7(x^2-1)[/tex]

[tex]12(4x)=7x^2-7[/tex]

[tex]48x=7x^2-7[/tex]

[tex]0=7x^2-48x-7[/tex]

Splitting the middle term, we get

[tex]7x^2-49x+x-7=0[/tex]

[tex]7x(x-7)+1(x-7)=0[/tex]

[tex](7x+1)(x-7)=0[/tex]

[tex]x=-\dfrac{1}{7},7[/tex]

Therefore, the values of x are [tex]-\dfrac{1}{7}[/tex] and [tex]7[/tex].

Answer:

x = - 9

Step-by-step explanation:

Given g(x) = - x - 3 and g(x) = 6, then equate, that is

- x - 3 = 6 ( add 3 to both sides )

- x = 9 ( multiply both sides by - 1 )

x = - 9

Answer:

-9

Step-by-step explanation:

g(-6) = -6 - 3

g(-6) = -9

Answer:

8. 7.2

9. 6.7

Step-by-step explanation:

Step-by-step explanation:

25 / 9 -4 = 25 / 5 = 5

5 is the solution

Answer:

5

Step-by-step explanation:

[tex]\frac{25}{r-4} = \frac{25}{9-4} =\frac{25}{5}= 5[/tex]

replace r with 9

Answer:

hi

Step-by-step explanation:

Answer:

The Area of the Shaded Region: C. (25π – 24) cm^2

Step-by-step explanation:

Just took the Unit Test on Edg (2020-2021)!!

Answer:

15 feets

Step-by-step explanation:

The perimeter of a parallelogram is given as :

P = 2(l + w)

l and w are the bases :

Substituting the values into the equation :

P = 2(x + 75 + x + 45)

P = 2(2x + 120)

P = 300

Hence ;

300 = 4x + 240

300 - 240 = 4x

60 = 4x

Divide both sides by 4 to isolate x

60 /4 = 4x / 4

15 = x

x = 15 feets

Answer:

MJ

Step-by-step explanation:

shxjsowibxkaowwkql

Answer:

r = 4.5%

Step-by-step explanation:

Formula:

I = Prt

r = I/(Pt)

Given:

I = 662.29

P = 4205

t = 3.5

Work:

r = I/(Pt)

r = 662.29/(4205 * 3.5)

r = 662.29/14717.5

r = 0.045

r = 4.5%

Answer:

1) decrease

2) increase

3) increase

a) 10% circle decrease

b) split the bar into 10 even parts. shade in first square. ⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜

workspace do $3.50×0.10=0.35 $3.50-0.35

c) discount in dallars: $0.35

d) final coat of notebook: $3.15

Answer:

25%

Step-by-step explanation:

Answer:

Zoom it

mark me as brainliest

The answer is 3

Open the brackets:2(3x - 7)=6x -14

6x - 14 +18 =22

Take all the numbers to the other side

6x =22+14-18

6x =18

Divide by 6 kn both sides

x=3

Answer:

55 bricks

Step-by-step explanation:

First find the area of one brick by multiplying 10x6x4, which is 240 cm^3. Then divide that from 13,200 which gives you 55 bricks.

Answer:

55 bricks

Step-by-step explanation:

First, we know they used 13,200 cm^3 of concrete. cm^3 is a volume, so in order to find how many bricks can be made, we must find the volume of each brick. Multiply the dimensions of each brick. 10*6*4=240cm^3. Now, divide 13,200cm^3/240cm^3=55 bricks

Answer:

C

Step-by-step explanation:

A 1 2-liter bottle for $0.89

1 liter = .89 /2 = $0.445

B 3 1-liter bottles for $1.50

1 liter = $1.50/3 = $0.50

C 24 0.5-liter bottles for $5.25

1 liter = 5.25 / 12  = $0.4375

D 36 0.25-liter bottles for $4.75

1 liter = $4.75 / 9  = $0.53

Give me brainllest

Answer:

C is the best buy

Step-by-step explanation:

0.89/2 = 0.445

3 * 1 litre bottles = 3 litres

1.50/3 = 0.5

24 * 0.5 litres = 12 litres

5.25/12 = 0.4375

36 * 0.25 liters = 9 liters

4.75/9 = 0.52777777

Answer:

volume of cube = side³

volume of cube =(4in)³

volume of cube =64 in³

Answer:

The first option is not a direct variation

Step-by-step explanation:

When we talk of a direct variation, as one value increases, the other value increases too

Or as one value decreases, the other value decreases

A direct variation is of the form;

y = kx

k = y/x

where k is the coefficient of variation that must be a constant value all through the set of values

The values we are comparing here are the x and y values

So

let us take a look at the options;

The first option is not a direct variation

For the first option, the rate of increase is not constant;

2/6 = 1/3 , 8/12 = 2/3 , 14/18 = 7/9

for the second;

the ratio is 1 to 1

for the third;

3/6 = 1/2 ; 6/12 = 1/2; 9/18 = 1/2

for the fourth;

2/6 = 1/3, 4/12 = 1/3 , 6/18 = 1/3

Step-by-step explanation:

la natalidad hace que la poblacion aumente

Answer:

see the photo below

Answer:

The total number of miles Beth plans to jog cant go over 12, and she has already jogged for 3 miles, then she needs to jog for another m miles. This can be written mathematically like: 3 + m < 12.

Step-by-step explanation:

Hope this help! :D

Answer:

Trechelle's reasoning is incorrect.

Step-by-step explanation:

the cost is $88.2. hope it helps bye.

Answer:

1) The store selling for 1.1 per 3 lbs

2) $6.24

Step-by-step explanation:

1)

1.1/3 = 0.37

0.78/2 = 0.39

0.37 is cheaper so it's a better deal

2)

[tex]\frac{0.78}{3} =\frac{x}{24} \\\\3x=18.72\\x=6.24[/tex]

Answer:

1.10 for 3 is the better deal.  It will cost $6.24 for the pencils.

Step-by-step explanation:

Do two separate problems but find how much it is for 1 carrot.  So the first is:$1.10 divided by 3 carrots = .366 or 37 cents per carrot.

The second one is: .78 divided by 2 carrots = .39 cents per carrot.

If you break 24 students into groups of 3, that would be 8 groups. 24 divided by 3 = 8.  

8 sets of 3 pencils is .78 x 8 = $6.24

Step-by-step explanation:

i think it means that when negative tow crosses the equal sign, as in a calculation,it becomes positive

eg. -2 +z=0

z =2

Answer:

Negative two is equal to negative two

Step-by-step explanation:

Kinda confused as to why you do not understand that expression...

Answer:

5% of the birds are blue

Step-by-step explanation:

100×5/100

Answer:

42

Step-by-step explanation:

17 + 25 = 42