Subtract the expressions in Example 1(a) first by changing subtraction of the expression to adding the expression’s opposite. Next, subtract the expressions using traditional order of operations. Does the difference yield the same number in each case?
Subtract:
(3x + 5y − 4) − (4x + 11)

-x + 5y - 15

Step-by-step explanation:

you have to multiply the negative sign to the 4x and 11 so they become negatives. You then add them to the other numbers.

3 is greater then both of those numbers

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: