Deal city is having a sale on a video game that, because of it popularity is notoriously hard to get ahold of. While waiting in line to open james notices that his friend Carlos is ahead of him and that there are only 5 ahead of him. If there is a total of 38 people in line and 15 of those are behind james how many are between james and carlos

16 people

Step-by-step explanation:

While waiting in line to open james notices that his friend Carlos is ahead of him and that there are only 5 ahead of him.

- This means that carlo is the 6th person in line.

If there is a total of 38 people in line and 15 of those are behind james

- This means that james is the 23rd person in line

how many are between james and carlos

- This is the difference between the 6th position and 23rd position

There are 16 positions between 6 and 23. Hence that's the number of people between them

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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