The cafeteria manager in an office building surveyed workers in the office building about their soup preferences. The results are shown in the two-way relative frequency table below. Lentil Mushroom Chicken Tomato Total
Female 0.17 0.08 0.07 0.14 0.46
Male 0.05 0.11 0.13 0.25 0.54
Total 0.22 0.19 0.20 0.39 1.00

Use the information provided in the table to match each description with the correct percentage of workers.

30.4%
35%
38.6%
30%
20.4%
22.7%
18.3%
25.1%
Percentage of male workers who prefer mushroom soup
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Percentage of female workers who prefer tomato soup
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Percentage of workers who prefer lentil soup who are male
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Percentage of workers who prefer chicken soup who are female
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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

it would open into a square depending on the type of envelope i’m not sure about the second part

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