The sum of angie's age and john's age equals michael's age. angie's age is a prime number, but john's age and michael's age are not prime numbers. The sum of john's age and michael's age is a prime number, and angie's age minus john's age is a prime number. One more than half of john's age is a prime number. Angie is the only teenager, and she is older than john. How many years old is john?

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:

14

step-by-step explanation:

14

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