Find the constant of variation for the relation and use it to write and solve the equation. if y varies directly as x and as the square of z, and y=25/9 when x=5 and z=1, find y when x=1 and z=4

When x = 1 and z = 4,  

Step-by-step explanation:

The variation described in the problem can be written using a constant of proportionality "b" as:

The other piece of information is that when x = 5 and z = 1, then y gives 25/9. So we use this info to find the constant "b":

Knowing this constant, we can find the value of y when x=1 and z=4 as:

answer: x=3 and y=4

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: