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Allushta [10]
3 years ago
14

(x^2-2x-48) divided by (x+5)

Mathematics
1 answer:
Lena [83]3 years ago
7 0

Did you know you could do this division using the approach "synthetic division?"

The coefficients of the dividend x^2 - 2x - 48 are 1, -2 and -48.  The divisor x+5 yields the divisor -5 for use in synthetic division.  Proceeding with the synthetic div.:

      --------------------

-5  /    1    -2    -48

                -5    35

     ----------------------

          1      -7    -13

Thus, the quotient is 1x - 7 with a remainder of -13.  This also means that if we substitute -5 for x in the original function, the result will be -13.

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What fraction is equal to 3 1/9 ?
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Solve for x and y:<br> 3/x -1/y =13/10<br> 1/x + 2/y =9/10
harkovskaia [24]

Answer:

  (x, y) = (2, 5)

Step-by-step explanation:

I find it easier to solve equations like this by solving for x' = 1/x and y' = 1/y. The equations then become ...

  3x' -y' = 13/10

  x' +2y' = 9/10

Adding twice the first equation to the second, we get ...

  2(3x' -y') +(x' +2y') = 2(13/10) +(9/10)

  7x' = 35/10 . . . . . . simplify

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Using the first equation to find y', we have ...

  y' = 3x' -13/10 = 3(5/10) -13/10 = 2/10 = 1/5

So, the solution is ...

  x = 1/x' = 1/(1/2) = 2

  y = 1/y' = 1/(1/5) = 5

  (x, y) = (2, 5)

_____

The attached graph shows the original equations. There are two points of intersection of the curves, one at (0, 0). Of course, both equations are undefined at that point, so each graph will have a "hole" there.

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