There are 2,400 kernels of popcorn in a bag. Of 40 I have just randomly selected, 25 are buttered,
and the remaining 15 are "dry”. What is the
best estimation of the total number of kernels of
buttered popcorn in the bag?

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

greater than one

step-by-step explanation: