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Given info:- 5/(x-3) - 4/(x+4) = 1/x. And here the problem has asked to find out the value of x ?

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Given equation is 5/(x-3) - 4/(x+4) = 1/x

⇛ [5(x+4) - 4(x-3)]/(x-3)(x+4) = 1/x

⇛ (5x+20-4x+12)/(x-3)(x+4) = 1/x

⇛ (x+32)/(x-3)(x+4) = 1/x

On applying cross multiplication then

⇛ x(x+32) = (x-3)(x+4)

⇛ x²+32x = x(x+4)-3(x+4)

⇛ x²+32x = x²+4x-3x-12

⇛ x²+32x = x²+x-12

⇛ x²+32x-x²-x = -12

⇛ (x²-x²)+(32x-x) = -12

⇛ 0+31x = -12

⇛ 31x = -12

⇛ x = -12/31

∴ x = -12/31

The value of x for the given problem -12/31

VERIFICATION:

Check

If x = -12/31 then LHS of the equation is

5/(x-3) - 4/(x+4)

⇛ 5/[(-12/31)-3] -4/[(-12/31)+4]

⇛ 5/[(-12-93)/31] -4/[(-12+124)/31]

⇛ 5/(-105/31) - 4/(112)/31

⇛ (5×-31)/105 - (4×31)/112

⇛ (-115/105)-(124/112)

⇛ (-31/21) - (31/28)

⇛ (-31)[(1/21)+(1/28)]

⇛ (-31)(21+28)/(21×28)

⇛ (-31×49)/(21×28)

⇛ (-31×7)/(21×4)

⇛-31/12

And RHS = 1/x

⇛ 1/(-12/31)

⇛ -31/12

⇛ LHS = RHS is true for x = -31/12

Step-by-step explanation:

-25 = -5/3u

-25.3u = -5

-75u = -5

u = -5/-75

u = 1/15

Answer:

a) y=200x+450

b) y=200(8)+450 = $2050

c) 21 months

Step-by-step explanation:

a) y=200x+450

200 per month plus her initial deposit of 450

b) y=200(8)+450 = 2050

To see how much she'll have after 8 months, plug in 8 for x

c) 4500<200x+450

4050<200x

20.25<x

x>20.25, so after 21 months since 20.25 is more than 20 months you have to round up to 21

Answer:

dynamic character

Step-by-step explanation:

Answer:

No it doesnt because 6 does not equal 2

Answer:

4.22m.

Step-by-step explanation:

Using Pythagoras theorem:

7.5^2 = h^2 + 6.2^2

h^2 = 7.5^2 - 6.2^2

h^2 = 17.81

Height h= 4.22.

Answer:

I think its 0.83 or 8% hope this helps!

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

I know! It's kind if annoying tbh...

Answer:

20 hours

Step-by-step explanation:

20 hours, since you have to find the remaining 80% of her dance time.

I thought of this as follows:

1/5 = 4

2/5 = 8

3/5 = 12

4/5 = 16

5/5 (100% of her dance time!) = 20 hours!

I hope this helped a bunch! Tell me if you need any further assistance...

( :

Answer:

this is a binomial, but its 2x^2-10x+8

Step-by-step explanation:

you use the distributive property

Answer:

388.8

Step-by-step explanation:

Thats correct i think

Answer:

Given points= (0,2) (1,0)

0-2/1-0= -2/1

Slope= -2

Answer:

50x-25

Step-by-step explanation:

(12x-6)(4 1/6)

50x-25

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The slope of given line is positive, because it makes an acute Angle with the positive direction of x - axis ~

Answer:

The slope of the line is positive.

Step-by-step explanation:

Because the line is going up left to right.

Hope this helps!

Answer:

-37.

combine the numbers

Step-by-step explanation:

[tex] \sf \longmapsto{y = - 5 + - 3}[/tex]

[tex] \sf \longmapsto{y = - 5 + - 3 = \red{ - 8}}[/tex]

[tex] \sf \longmapsto \boxed{ \sf \: y = - 8}[/tex]

Answer:

The answer is A trapezoid

So we know that the number x is multiplied by 4, and then is bigger then itself by 45, so so lets set up this equation.

4x = x + 45

The 4x is our x multiplied by 4 and the x + 45 is when it exceeds itself by 45.

Now lets solve:

4x = x + 45

Bring x to one side to isolate the variable:

4x - x = 45

3x = 45

Now we divide the 3 from the 3x in order to fully isolate the variable:

x = 45 / 3

x = 15

Lets plug 15 in to double check the answer:

4(15) = 15 + 45

60 = 60

Yes!

This means that 15 is the number multiplied by 4 and exceeded by 45.

I hope this helps! :)

Answer:

x = 1

Step-by-step explanation:

Here is what you need to know:

f(x) represents the y-value.

The x in the parenthesis represents the x-value.

Another way to write f(x) = 1 is y = 1.

So now you are just finding the x-value for when y = 1. Looking at the graph, when y is 1 ( 1 on the y-axis), x has to be 1! This is because when you go up one, the only value that matches that point is 1!

Hope this helps :)

(sorry if my explanation was a bit confusing)

Answer:

  w = 28

  x = 18

Step-by-step explanation:

To make the triangles congruent, the hypotenuse and leg need to be the same length.

  5w +x -59 = -w +2x +91

  4w+4x -92 = 2x +2w

These two equations can be written in general form by subtracting the right-side expression from both sides.

  6w -x -150 = 0

  2w +2x -92 = 0

The second of these equations can be divided by 2 to give ...

  w +x -46 = 0

When that is added to the first equation, we have ...

  7w -196 = 0

  w -28 = 0

  w = 28

Using this in our simplified second equation, we have ...

  x = 46 -w = 46 -28

  x = 18

_____

Additional comment

These values of w and x make the side lengths ...

  UV = 2x -w +91 = 2(18) -28 +91 = 8 +91 = 99

  UT = 2x +2w = 92 . . . . from 2nd equation

Using the Pythagorean theorem, this makes ...

  TV = √(99^2 -92^2) = √1337 ≈ 36.57

Answer:

Point-slope equation: y - 10 = 2(x - 3)

Step-by-step explanation:

Given the slope of the line, m = 2, and the point, (3, 10):

Let the slope (m) = 2

                 (x₁, y₁) = (3, 10)

Substitute these values into the point-slope form, y - y₁ = m(x - x₁):

y - y₁ = m(x - x₁)

y - 10 = 2(x - 3)  ⇒ This is the point-slope form.

Answer:

36%

Step-by-step explanation:

47/132=36%

The = is means the equal sign with the ~ position

The percent of the students prefer superhero movies rounded to the nearest percent is; 36%

The table of this random survey of students when seen online tells us that;

Total number of students that prefer super hero movies = 47

Total Number of Students that prefer Comedy = 50

Total Number of Students that prefer drama = 35

Thus;

Total number of students surveyed = 47 + 50 + 35

Total number surveyed = 132

Thus;

Percent of the students that prefer superhero movies = 47/132 * 100%

Percent of the students that prefer superhero movies = 36%

Read more about percentages at; https://brainly.com/question/843074

Answer:

2/5.

Step-by-step explanation:

1 3/5 / 4

= 8/5 / 4

= 8/5 * 1/4

= 8/20

= 2/5.

Answer:

what is the question

Step-by-step explanation:

Answer:

n=20

Step-by-step explanation:

4n = 80

n=80/4

n=20