A small cruising ship that can hold up to 52 people provides three-day excursions to groups of 34 or more. If the group contains 34 people, each person pays $66. The cost per person for all members of the party is reduced by $1 for each person in excess of 34. Find the size of the group that maximizes income for the owners of the ship.

x = 23.78

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

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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! : )

cretdit to source

whatvare the choices

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im pretty sure its

(8,15)

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