A. Average rate of change for x=1 to 2: 4(2²)-4(2)=16-8=8; from x=3 to 4: 4(2⁴)-4(2³)=64-32=32.
b. Section b is 32/8=4 times greater. As the exponent of 2 increases, the gaps between consecutive powers of 2 gets wider and therefore the rate of change is greater.
        
             
        
        
        
X² <span>− 3x − 70=0
</span>x² + 7x - 10x − 70=0
x(x+7) - 10(x+7) = 0
(x+7)(x-10) = 0
x + 7 = 0   or   x - 10 = 0
x = -7              x = 10
Answer: x=-7,  x=10 
        
                    
             
        
        
        
Answer:
2 hours = 4 * 30 minutes
30 * 3 = 90
90 * 3 = 270
270 * 3 = 810
810 * 3 = 2430
So after 2 hours you will have 2430 bacteria cells.
Step-by-step explanation:
 
        
             
        
        
        
Answer:
30 pounds of hard candy and 30 pouonds of soft candy
Step-by-step explanation:
$2 per pound added with $4 per pound would become $3 per pound
x pounds plus 60 - x pounds will add up to 60 pounds
(multiply the top with the bottom)
2x + 4x = 3(60)
6x = 180
x = 30
60 - 30 = 30
 
        
             
        
        
        
Answer:
Answer is 600 
Step-by-step explanation: