Acar took 3 hours to make a trip of 147 miles. through towns it was driven at 24 miles an hour and in the open country at 54 miles an hour. find the number of hours that the car was driven at each rate.

140/x=300/(x+40)

300x=140x+40*140

160x=40*140

x=40*140/160=35 mph

ans:

slower speed = 35 mph

faster speed =x+40=75 mph

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: