The organizers at a job fair purchase plastic cups for serving refreshments to attendees. the organizers expect at least 1,700 attendees, and they must ensure a sufficient number of cups. the cups arrive packed in cartons. the number of cups in each carton is 5 more than four times the number of cartons. which of the following inequalities can be used to determine c, the number of cartons of cups purchased?

4c+5≥1,700.

Step-by-step explanation:

Let c be the number of cartons of cups purchased. Since the number of cups in each carton is 5 more than four times the number of cartons, then the number of cups is 4c+5.

The organizers expect at least 1,700 attendees, then the total number of cups should be greater or equal to 1,700. This gives you the inequality

4c+5≥1,700.

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

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic