An amusement park employee records the ages of the people who ride the new roller coaster during a fifteen-minute period. Ages of riders: 42, 14, 19, 30, 49, 48, 16, 24, 38, 53, 24, 15, 18, 20, 25, 11, 18, 49, 54, 20, 17, 26, 37, 15, 28. Complete the frequency table. Then select the correct histogram of the data. Interval Frequency 10−19 20−29 30−39 40−49 50−59 A g617049a B g617049b C g617049c D g617049d

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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step-by-step explanation:

-1   1/6.   you dont subtract the denominators

step-by-step explanation:

h is the x-coordinate of the vertex

step-by-step explanation:

we have

in this function

the point represent the vertex of the function

so

h is the x-coordinate of the vertex

k is the y-coordinate of the vertex