Time reading
48: 51
the yearbook club has 5 members returning from last year. they set up a booth in the cafeteria to recruit more members,
and an average of 3 new members sign up each day. which best describes why the graph relating the total number of
members on the yearbook club, m, and the number of days the booth is set up, d, will be continuous or discrete?
the graph will be continuous because an end day for the booth being set up is not given in the description
the graph will be continuous because there can be any number of people signing up each day since we are only given the
average
the graph will be discrete because some day the number of available people to sign up for the club will run out.
the gaph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each
day for sign ups.
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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

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)