Santa and his elves had a workshop that allowed them to produce 22,912,546,99222{,}912{,}546{,}9922 2,912,546,99222, comma, 912, comma, 546, comma, 992 toys each year. the world population increased, so they built a new workshop. the new workshop allows them to produce 4,134,232,638,9374{,}134{,}232{,}63 8{,}9374,134,232,638,9374, comma, 134, comma, 232, comma, 638, comma, 937 toys each year. approximately how many times as many toys can the new workshop produce each year compared to the old workshop?

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.

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:

15: 24

62.5%

step-by-step explanation: