Your equation is:
(x - 6)² + (y + 8)² = 100
When you plug in (0, 0) into this equation, you get:
(0 - 6)² + (0 + 8)² = 100
(- 6)² + 8² = 100
36 + 64 = 100
100 = 100
        
             
        
        
        
Scale factor is used by architects or engineers to transfer their prototype idea to large-scale use. If the volume of a prism is 20, you need to multiply its dimensions with a scale factor to find the new volume which is 540. For example, if the volume is doubled, this means you used a scale factor of 2. Hence, you just have to divide the new volume by the smaller volume.
Scale factor = 540/20
Scale factor = 27
        
                    
             
        
        
        
Hey! I tried doing this, but there are no like terms??
        
             
        
        
        
The initial value of 100 that doubles over each interval.
without the answer choices, I can only describe it and give you an example of the graph. 
I'm assuming the function is 100*(2)^x because if it is as listed it would be a quadratic function with a vertical stretch of 100.
 
        
             
        
        
        
Hi!
Whatever we do to the inequality, we have to do it to both sides.
Subtract 14 from both sides
14 - 14 - 3x < -1 - 14
-3x < -15
Divide by -3 on both sides
-3x/-3 < -15/-3
x < 5
Because we divided by a negative number, the equality sign flips.
x > 5
^ the answer
Hope this helps! :)