A company offers a raffle whose grand prize is a $35,000 new car. Additional prizes are a $900 television and a $600 computer. Tickets cost $18 each. Ticket income over the cost of the prizes will be donated to charity. Use the method of Example 9.8.5 to answer the following question. If 3,000 tickets are sold, what is the expected gain or loss (in dollars) of each ticket?

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:

c.

step-by-step explanation: