Three neighbors plan to complete fencing projects this spring. as shown in the diagrams below, neighbor a plans to fence in his rectangular backyard with a 6-foot tall wooden privacy fence. neighbor b plans to construct a circular chain link fence around his pool. and, neighbor c is putting a vinyl fence around three side of his front yard. note: diagrams are not drawn to scale. intended fences are marked with a dashed line.

neighbor a can put up three 8 foot sections of wood fencing in two hours.

neighbor b can put up 15 feet of chain link fencing each hour.

neighbor c can put up 1 yard of vinyl fencing in half an hour.

which neighbor's fencing project will take the least amount of time to complete?

which neighbor's fencing project will take the most amount of time to complete?

a negative exponent is translated as follows:

so, we have

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

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

about 0.75 hours

step-by-step explanation: