Paul can install a 300-square-foot hardwood floor in 18 hours. matt can install the same floor in 22 hours. how long would it take paul and matt to install the floor working together? a. 4 hoursb. 9.9 hoursc. 13.2 hoursd. 30 hours

B. 9.9 hours

Step-by-step explanation:

Given : Paul can install a 300-square-foot hardwood floor in 18 hours.

We consider whole job as 1.

Rate of work per hour for Paul =

Matt can install the same floor in 22 hours.

Rate of work per hour for Matt =

Now , when they both work together , the rate of work = , where t is time taken by both together.

Since ,

Hence, it would take 9.9 hours to install the floor working together.

Therefore , the correct answer is  B. 9.9 hours .

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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