Could someone answer and explain these to me? !

Option G is right.

Step-by-step explanation:

Given that 2x^2+6x =36

To find possible values of x, let us use factorisation method.

First divide the equation by 2, x^2+3x-18 =0

Factors are (x+6)(x-3)

Equate each factor to 0

x+6 =0 or x-3=0

x =-6 or 3

Hence values of x are -6 and 3.

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:

3

step-by-step explanation: