Final answer:
The equation of the horizontal asymptote for the function y = (10x)/(4x² + 3) is y = 0, as the degree of the polynomial in the denominator is higher than that of the numerator.
Step-by-step explanation:
The student asked to state the equation of the horizontal asymptote for the function y = (10x)/(4x² + 3). To determine the horizontal asymptote, we look at the behavior of the function as x approaches infinity. Since the degree of the polynomial in the denominator is higher than that in the numerator, the horizontal asymptote is y = 0. The reason is that as x becomes very large, the x² term dominates the denominator, making the fraction approach zero.