Two fourth grade classes at Valley Elementary School were asked to choose their favorite core subject. The results are shown in the two-way frequency table below. Favorite Core Subject Math Grammar History Science Total Mr. Allen's Class 3 10 7 15 35 Mrs. Jackson's Class 10 5 10 5 30 Total 13 15 17 20 65 What percentage of students in Mr. Allen's class chose math as their favorite subject?

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:

it should be described as a proper fraction.