Answer:
w=2
Step-by-step explanation:
-14w + 21 = 1 - 4w
-10w + 21 = 1
-10w = -20
w = -20/-10
w=2
For this case we have the following expression:

We clear the value of the variable "g", for this:
We multiply by 4 on both sides of the equation:

We divide by 3 on both sides of the equation:

We simplify:

Answer:

Answer:



Step-by-step explanation:
We know that the point (-6, 1) belongs to the main function g(x)
The transformation

add 1 to the input variable (x) and subtract 5 to the output variable (y)
So the point in the graph of
is


The point is: 
The transformation

subtract two units from the input variable (x), multiply the output variable (y) by -2 and then add 4 units
So the point in the graph of
is

The point is: 
The transformation

Multiply the input variable (x) by 2 and then add two units
So the point in the graph of
is


The point is: 
Put the value of the letters with " over the original
So for A we have 3 in the front and 4.5 for A"
4.5/3 = 1.5
We can check if this is actually the scale factor but using the other numbers
The second numbers for A and A" are 6 and 9
6 * 1.5 = 9
So for point A it is 1.5
Use the same thing for G. That gives you 2
For B, you get 0.5
So the scale factors are 1.5, 2, and 0.5