There are 80 runners to start a race. in the first half of the race, 1/4 of them dropped out. in the second half of the race , 1/5 of the remaining dropped out. how many runners finished the race?

48

Step-by-step explanation:

80 divided by 4 is 20 so thats 1/4 of 80

80-20=60

1/5 of 60 = 12

20+12=32

80-32=48

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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