Which line represents a horizontal asymptote of f of x is equal to negative the fraction with numerator 5 x squared minus 3 x plus 2 and denominator 10 x squared minus 1 ?

The numerator and denominator have the same degree, so the horizontal asymptote is the ratio of their leading coefficients, including the negative sign in front: −5/10 = −0.5. Therefore, the horizontal asymptote is y = −0.5, choice B.

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