Determine the unit rate for the following problems : he pumped 54 gallons in 12 minutes

To find the unit rate, we are essentially going to reduce this ratio down to it's lowest possible terms. So in this case, we are going to find how many gallons are pumped every 1 minute.

To do this, we are going to divide 54 by 12:

So now that we have this in such terms, we can call it a unit rate. Therefore, the unit rate is 4.5 gallons/min.

step-by-step explanation:

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: