The student council is having a dinner fund-raiser. the cost to rent the banquet hall for an evening is $185. the cost per plate of food is $3.50. if the tickets to the dinner banquet are $17.50 per person, how many people must attend in order for the school to earn a profit?

Given

cost to rent the banquet hall for an evening is $185. The cost per plate of food is $3.50. If the tickets to the dinner banquet are $17.50 per person

find out  people must attend in order for the school to earn a profit.

To proof

banquet hall cost =$185

cost per plate of food =$3.50

tickets to the dinner banquet =$17.50

let the number  of people attend the  dinner = x

the equation becomes

17.50x - (3.5x + 185) ≥ 0

now solving the above equation

17.50x - 3.5 x ≥ 185

14x ≥ 185

x ≥ 13.21

x ≥ 14 (approx )

To earn profit 14 people must attend the dinner.

Hence proved

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! : )

cretdit to source

answer: 8d

step-by-step explanation:

45+5= 50+5=55+5=60