a painter chargers $12 an hour while his son charges $6 an hour. if the father and son worked the same amount of time together on a job, how many hours did each of them work if their combined charge for their labor was 108

6 hours

Step-by-step explanation:

Let x= the number of hours they've worked

12x+6x=108

Combine like terms

18x=108

Divide 18 on both sides

18/18 x=108/18

x=6

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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: