A college radio station surveyed incoming freshmen to gather information about the types of music that they like. Here are the results. 644 incoming freshmen were surveyed in all
283 of the freshmen like jazz
291 of the freshmen like rock
104 of the freshmen like both jazz and rock
143 of the freshmen like both rock and classical
168 of the freshmen like both jazz and classical
37 of the freshmen like all three types of music (jazz, rock, classical)
53 of the freshmen don't like any of these three types of music (jazz, rock, classical)
Construct a Venn diagram illustrating these results. Then answer the question.

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

one peck is 9.309 quarts

9.309x 2