Of 54 ​cities, 3 have a lake and 21 have a river running through them. What fraction of these 54 cities have a lake or a river running through​ them? Show your work.

4/9

Step-by-step explanation:

Number of cities with lake = 3

Number of cities with river = 21

Total number of cities with lake or river = 3 + 21 = 24

Total number of cities = 54

Fraction with lake or river = 24/54 = 4/9

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

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: