Dwayne is trying to find the fraction represented by the repeating decimal 0.5. He completes the three steps shown: 1) Let x = 0.5

2) 10x = 5.5

3) 10x = 5.5
-x = 0.5

9x=5
what is the fraction equivalent of 0.5?
A. 9/5
B.4/9
C. 5/9
D. 5/13

Step-by-step explanation:

Three steps given end with:

The next step is, divide both sides by 9:

Correct answer option:

C. 5/9

Step-by-step explanation:

10x = 5.5

  -x = 0.5

9x = 5

x = 5/9

therefore, the answer is C. 5/9

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: