The amount of a radioactive material changes with time. the table below shows the amount of radioactive material f(t) left after time t.

t(hours) 0 1 2
f(t) 100 50 25

which exponential function best represents the relationship between f(t) and t?

f(t) = 0.5(100)t

f(t) = 100 (0.25)t

f(t) = 0.25(50)t

f(t) = 100(0.5)t

b. x- 48 =120

step-by-step explanation:

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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