Three students are working to find the solution set of this system of equations: y = 3x + 10 2y = 6x – 4

Step-by-step explanation:

Since this is a system with two equations, we can easily use a graphing calculator to find the solution

The intersection between the graphs of the equations

y = 3x + 10

2y = 6x – 4   (if we divide by two)

y = 3x - 2

However, we can see that the graphs have the same slope m = 3

Since both equations are not equal, there is no solution for this system

Please see attached graph. The lines are parallel and they never touch each other.

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: