What is the solution to the system? A. X = 4, y = -2
x = 1, y = -2
C. X = 4, y = 1
D. X = 2, y = -1

Correct D. x = 2, y = -1

Step-by-step explanation:

The point of intersection between systems of linear equations is the solution of the system. This implies that the value of this point satisfies the given systems of linear equations.

Since the graphs intersect at exactly one point, (2, -1) which gives the (single) ordered-pair solution of the system. The system is consistent and the equations are independent.

Therefore, the correct answer is D. x = 2, y = -1

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: