Tickets for the school play cost $7 each. each member of the cast gets 1 free ticket for a family member. for the run of the play, 210 tickets are collected, including all the free tickets, and the box office makes $1,358 from ticket sales. the equation that models this situation is 7(210 – c) = 1,358 where c is the number of cast members. how many cast members are in the play? a. 6 people b. 7 people c. 16 people d. 194 people

the answer is c

Step-by-step explanation:

I just took the test

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

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry