Alyssa and Lydia go to the movie theater and purchase refreshments for their friends.

Alyssa spends a total of $238.25 on 14 drinks and 9 bags of popcorn.
Lydia spends a total of $153.25 on 7 drinks and 8 bags of popcorn.

Write a system of equations that can be used to find the price of one drink and the
price of one bag of popcorn.

Using these equations, determine and state the price of a bag of popcorn, to the
nearest cent.

answer: 45

-4

step-by-step explanation:

do 6-10=

if u need it to be negative.

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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