When the positive integer m is divided by 6, the remainder is 5. What is the remainder when m+2 is divided by 6?

The remainder is 1.

Step-by-step explanation:

First, you have to find the value of m. With the given information :

m ÷ 6 = 5

m = 5 × 6

m = 30 (no remainder)

if,

m = 30 + 5

m = 35 (with remainder as 5)

Next, you have to substitute m value into the expression, (m+2) ÷ 6 :

(35+2) ÷ 6

= 37 ÷ 6

= 6 1/6 (1 as a remainder)

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: