The length of a rectangle is one more than twice its width. If its perimeter is 20 inches, what is its length and width?

Let length be L

Width be W

L=1+2W

Perimeter(p) of rectangle is

P=2L+2W

But L = 1+ 2W and p= 20

:. 20 =2(1+2W) +2W

20=2+4W+2W

18=6W

Divide both sides by 6

W =3

2W+1=L

6+1=L

L=7

Hence, length and width are 7in and 3in respectively

Step-by-step explanation:

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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