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Luba_88 [7]
3 years ago
5

Solve for x: 5/x^2-4+2/x=2/x-2

Mathematics
1 answer:
IRINA_888 [86]3 years ago
6 0

\dfrac{5}{x^2 - 4} + \dfrac{2}{x} = \dfrac{2}{x - 2}


\dfrac{5}{(x + 2)(x - 2)} + \dfrac{2}{x} = \dfrac{2}{x - 2}


\dfrac{5}{(x + 2)(x - 2)} \times x(x + 2)(x - 2) + \dfrac{2}{x} \times x(x + 2)(x - 2) = \dfrac{2}{x - 2} \times x(x + 2)(x - 2)


5x + 2(x + 2)(x - 2) = 2x(x + 2)


5x + 2(x^2 - 4) = 2x^2 + 4x


5x + 2x^2 - 8 = 2x^2 + 4x


5x - 8 = 4x


x - 8 = 0


x = 8


Now we look at the common denominator.

It is x(x + 2)(x - 2).

x cannot be zero, -2 or 2 because that would cause a zero in the denominator.

Since we get x = 8, and x = 8 does not have to be excluded from the domain, the answer is x = 8.


Answer: x = 8

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mylen [45]
C - 30%.

We know he spends less than he has expected, so we put it as a fraction calculate the percentage of the error. 

So it would be:

87.5/ 125 = 0.7

And 1-0.7 = 0.3 

When we move the chemical place two places to the left to make it a percentage, it will become 30%. 
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4 years ago
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What is the graph of the function f(x)=x2+ 2x+ 3?
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Answer:


Step-by-step explanation:

The best way to do this is to let a graphing program do it. You could do it from a chart, but a graphing program can be useful for that as well. We'll make up a mini chart here

x        method                        y

-3      (-3)^2 + 2(-3) + 3 =       6

-2      (-2)^2 + 2(-2) + 3 =       3

-1       (-1)^2 + 2(-1)  + 3 =        2

0                                            3

1        (1)^2 + 2(1) + 3              6

2        (2^2) + 2(2) + 3           11

3        (3)^2  +2(3) + 3            18  

See the graph below.    

You can pick it out from the graphs you were given.                

8 0
4 years ago
Is 30/4 bigger or smaller or equal to 7 1/2 ?
Burka [1]
Equal because when you turn it in to a mixed number it turns out to be 7 1/2 :) Hope this helps!
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Please help with this algebra question
zhannawk [14.2K]
Perimeter: P=24 ft
Lenght: L
Width: W

The length is 2 ft longer than the width:
(1) L= W+2 ft

Perimeter: P=2(W+L)
P=24 ft
2(W+L)=24 ft
Dividing both sides of the equation by 2:
2(W+L)/2 =(24 ft)/2
(2) W+L=12 ft

We have a system of 2 equations and 2 unkowns:
(1) L=W+2
(2) W+L=12

Using the method of substitution: Replacing L by W+2 in the second equation:
(2) W+L=12
W+(W+2)=12
W+W+2=12
2W+2=12

Solving foe W
2W+2-2=12-2
2W=10
Dividing both sides of the equation by 2:
2W/2=10/2
W=5

Replacing W by 5 in the first equation:
(1) L=W+2
L=5+2
L=7

Answers:
What is the width?  5 ft
What is the length? 7 ft
6 0
3 years ago
The price of a gallon of unleaded gas was $2.79 yesterday. Today, the price rose to $2.84 . Find the percentage increase. Round
Vladimir [108]

First: work out the difference (increase) between the two numbers you are comparing.

Increase = New Number - Original Number

Then:  divide the increase by the original number and multiply the answer by 100.

% increase = Increase ÷ Original Number × 100.

Using this math, you get the percent increase of : 1.79, but rounding to the nearest tenth, you get the answer of: 1.8 Hope this helps :)<span />
7 0
3 years ago
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