Alec is climbing a 14 foot ladder where the rungs are 3/4 of a foot apart. there is one foot of space on each end of the ladder before the first and last rung. how many rungs are on the ladder that alec is climbing including the first and last one?

Alec is climbing 17 rungs on the ladder of 14 feet ( including first and last rung ) .

Step-by-step explanation:

Given:

Length of the ladder = 14 foot

Distance between Rungs in ladder =  

There is one foot of space on each end of the ladder before the first and last rung .  

To Find:

Number of  rungs are on the ladder =?

Solution:

Let us assume there are 3 rungs. Between 3 rungs there will be two spaces. between four rungs there will be 3 spaces , so between n + 1  rungs there will be n spaces.

Given that length of the ladder = 14 feet

There is one foot of space on each end before the first and last rung.

So length of the ladder between first and last rung = 14 – 2  ( 1 foot of each side) = 12 feet

As distance between each rung =

Number of    spaces in ladder of 12 feet =

Number of    spaces in ladder of 12 feet=  

Number of    spaces in ladder of 12 feet=

Number of    spaces in ladder of 12 feet =16

And as for n spaces there will be n + 1 rungs, so for 16 spaces there will be 16 + 1 = 17 rungs.

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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