Answer:
a = 8, b = 
Step-by-step explanation:
Given the exponential function
f(x) = a
To find a and b use the given coordinate points on the graph
Using (0, 8 ), then
8 = a [
 [  = 1 ] , then
 = 1 ] , then
a = 8
f(x) = 8
Using (2, 18 ) , then
18 = 8b² ( divide both sides by 8 )
 = b² , that is
 = b² , that is
b² =  ( take the square root of both sides )
 ( take the square root of both sides )
b =  =
 = 
Thus 
f(x) = 8
 
        
             
        
        
        
So you basically add the amount it grew each week. So week one is 2 and 1/2, week two is 2 and 3/4 and week three is 3 and 1/4. to make things simpler, add week two and three which gets you 6inches, then add week one, to get 8 and a half inches.
        
             
        
        
        
Answer:
16
Step-by-step explanation:
Given
f(x)=5x^2+9x-2
Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).
Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:
f(x)=5x^2+9x-2
f(-3) = 5(-3)^2 +9(-3) -2
        =5(9) - 27 -2
        = 45-29
         = 16 !
 
        
                    
             
        
        
        
The speed of the airplane = 2951 / 6.5 = 454 mph