3 years ago

Which of the followinkg is a rational number that is not an integer? -2 -0.5 0 4

Mathematics

1 answer:

g100num [7]3 years ago

6 0

It’s -0.5 because it an integer has to be whole number hope this helps :)

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Get letters on left...so subtract 4x from right and do same to left
26=6
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Mumz [18]

If you evaluate directly this function at x=0, you'll see that you have a zero denominator.

Nevertheless, the only way for a fraction to equal zero is to have a zero numerator, i.e.

$\dfrac{x}{x^3-2x^2+5x}=0\iff x=0$

So, this function can't have zeroes, because the only point that would annihilate the numerator would annihilate the denominator as well.

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$\displaystyle \lim_{x\to 0} \dfrac{x}{x^3-2x^2+5x} = \lim_{x\to 0} \dfrac{x}{x(x^2-2x+5)} = \lim_{x\to 0} \dfrac{1}{x^2-2x+5} = \dfrac{1}{5}$

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