Dario canseco’s variable automobile costs for last year were: gasoline, $1,993.83; oil and filters, $230.90; and a new tire, $89.76. insurance cost $1,201.20, registration was $120.25; and the loan interest totaled $389.06. canseco drove about 12,560 miles. what was the cost per mile for canseco to operate his vehicle last year?

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: