Answer:
y
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
f(x) = 3x² - 15x + 12
Step-by-step explanation:
Given f(x) has roots x = a and x = b, then
(x - a) and (x - b) are the factors 
f(x) is then the product of the factors
f(x) = a(x - a)(x - b) ← where a is a multiplier
Given roots are x = 4 and x = 1, then
(x - 4) and (x - 1) are the factors
With a = 3, then
f(x) = 3(x - 4)(x - 1) ← expand factors using FOIL
      = 3(x² - 5x + 4) ← distribute
      = 3x² - 15x + 12
 
        
                    
             
        
        
        
Answer:
6 × 8
Step-by-step explanation:
Since the dilation factor is 4, and the image was ENLARGED, that means the original photo was smaller.  Smaller by a factor of 4.
So, we take the new dimensions (24x32) and we divide each side by the dilation factor of 4:
(24/4) x (32/4) = 6 x 8
It couldn't be the first answer choice (3x8) because  that doesn't maintain the ratio of the enlarge picture.  The other possible answers do match the right ratio... but only 6x8 is scaled by a factor of 4.
 
        
             
        
        
        
Step-by-step explanation:
2x²+3x-2=0
(2x-1)(x+2)
x+2=0
 x=-2 (no, because x must be >0)
2x-1=0
 2x=1
 x=½ (yes, because x>0)
 
        
             
        
        
        
Answer:
Rational
Step-by-step explanation:
-9 is rational because 9 is a perfect square and all perfect squares are rational.