© A company makes 140 bags. 39 of the bags have buttons but no zips.
21 of the bags have zips but no buttons.
23 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons?

d≈7.07in

step-by-step explanation:

150

step-by-step explanation:

(sorry i'm not typing it again just read the other two explanation sections i just typed it'll be the same.)

(a) x intercepts: -6 and 2

you can obtain these by solving the equation 0=x^2 +4x-12 using your favorite quadratic formula. but it is easy to verify -6 and 2 indeed satisfy this equation.

(b) y intercept: -12

this is obtained by setting x=0: 0^2+4*0-12 = -12

(c) the minimum value is: -16 (this is the vertex)

you can get the vertex by rewriting the equation into the form:

there is no global or local maximum as the function goes to infinity, so only in the limit sense: +infinity.