The variables x and y vary directly. Use the values to find the constant of proportionality, k. Then write an equation that relates x and y. y=72; x=3

The proportionality constant , and the equation that relates and is

Since and are related by direct proportion,

where is our proportionality constant. To find the value of , substitute the values into the formula, and solve for .

Thus the equation that relates and is

Learn more about direct proportion here: link

y = kx

Replace y and x to solve for k:

72 = 3k

Divide both sides by 3:

k = 24

Now replace k with 24:

y = 24x

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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steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.