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podryga [215]
3 years ago
8

What is the difference x + 5/ x + 2 - x + 1 /x^2 + 2x

Mathematics
2 answers:
julsineya [31]3 years ago
5 0

For this case, we must resolve the following difference:

\frac {x + 5} {x + 2} - \frac {x + 1} {x ^ 2 + 2x} =\\\frac {(x + 5) (x ^ 2 + 2x) - (x + 2) (x + 1)} {(x + 2) (x ^ 2 + 2x)} =\\\frac {x ^ 3 + 2x ^ 2 + 5x ^ 2 + 10x- (x ^ 2 + x + 2x + 2)} {x ^ 3 + 2x ^ 2 + 2x ^ 2 + 4x} =\\\frac {x ^ 3 + 2x ^ 2 + 5x ^ 2 + 10x-x ^ 2-x-2x-2} {x ^ 3 + 2x ^ 2 + 2x ^ 2 + 4x} =

Adding similar terms:

\frac {x ^ 3 + 7x ^ 2 + 10x-x ^ 2-3x-2} {x ^ 3 + 4x ^ 2 + 4x} =\\\frac {x ^ 3 + 6x ^ 2 + 7x-2} {x ^ 3 + 4x ^ 2 + 4x}

Answer:

\frac {x ^ 3 + 6x ^ 2 + 7x-2} {x ^ 3 + 4x ^ 2 + 4x}

xxTIMURxx [149]3 years ago
3 0

2x^3 + 2x^2 + 5x + 1/ x^2

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Solve the system by graphing.
igor_vitrenko [27]

Answer:

Hi There the correct answer is {x,y} = {-1,-10}  

 

System of Linear Equations entered :

  [1]    3x - y = 7

  [2]    4x - 2y = 16

Graphic Representation of the Equations :

   y + 3x = 7        -2y + 4x = 16  

 

 

Solve by Substitution :

// Solve equation [1] for the variable  y  

 

 [1]    y = 3x - 7

// Plug this in for variable  y  in equation [2]

  [2]    4x - 2•(3x-7) = 16

  [2]    -2x = 2

// Solve equation [2] for the variable  x  

  [2]    2x = - 2  

  [2]    x = - 1  

// By now we know this much :

   x = -1

   y = 3x-7

// Use the  x  value to solve for  y  

   y = 3(-1)-7 = -10  

Solution :

{x,y} = {-1,-10}  

Hope it helps!

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3 years ago
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lora16 [44]

Answer:

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Step-by-step explanation:

Given that,

The midpoint of FG is (6-4) and the corrdinates of F are (-3,6).

Let (x,y) be the coordinates of point G. Using mid point formula,

\dfrac{x+(-3)}{2}=6\ \text{and}\ \dfrac{y+6}{2}=-4\\\\x-3=12\ \text{and}\ y+6=-8\\\\x=15,\ \text{and}\ y=-14

So, the coordinates of G are (15,-14).

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Answer:

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Step-by-step explanation:

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Answer:

See below

Step-by-step explanation:

The score increase was 35 points. They claimed an increase of at least 50 points.  For a significance level of 5%, the z-score for the situation needs to be at smaller than -1.645.  For a significance level of 1%, the z-score needs to be smaller than -2.325

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