Astone is launched off a building which is 95 feet high. its height at time t is given by the function h(t) = 95 + 10t − 4t2 where time is measured in seconds and height is measured in feet. at what time does the stone reach its maximum height?
a) t = 1.25 seconds
b) t = 2.5 seconds
c) t = 5.0 seconds
d) t = 7.5 seconds

t = 1.25 seconds

Step-by-step explanation:

usatestprep

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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