You come home one day during a spring rain shower to discover your roof is leaking in different places.
someone has already placed 50 gallon buckets under each of the leaks, and the buckets have already collected some water. the hole in the kitchen ceiling is leaking an average rate of 2 gallons per minute and the bucket already contains 19 gallons of water. the hole in the living room must be bigger because it is leaking at an average rate of 3 gallons per minute and the bucket already contains 7 gallons. (it must have been emptied once.)
how much longer before the buckets contain the same amount of water? how much eater will that be?
-choose the most appropriate algebraic method to solve this problem
-variables should be chosen and labeled.

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

answer: y = 3/2 x - 3

y = 1/8 x - 3/4 that would be your correct option

step-by-step explanation: w

answer: 1475

step-by-step explanation:

becuase you have to know what they are asking you