Answer: The average rate of change is 6.First, plug in each value of <em>t</em> into the function, v(t) to find there coordinate pairs.
v(2) = (2)^2 - (2) + 10
v(2) = 4 + 8
v(2) = 12
v(5) = (5)^2 - (5) + 10
v(5) = 25 + 5
v(5) = 30
You can write these values as coordinate pairs, like so: (2, 12) and (5, 30).
The formula for the average rate of change is 

. When you plug in the values from this particular case, the average rate of change formula becomes 

, or 

.
Looking at the equation, you can solve for the average rate of change between t = 2 and t = 5, which equals 
6.
 
        
             
        
        
        
4+3p≥40
He needs to have 40 or more to get to the finals so 4+3p has to be 40 or more
        
             
        
        
        
vertex = (3,- 5 )
given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then
the x-coordinate of the vertex is
 = -
 = - 
y = x² - 6x + 4 is in standard form
with a = 1, b = - 6 and c = 4, hence
 = -
 = -  = 3
 = 3
substitute this value into the equation for y- coordinate
y = 3² - 6(3) + 4 = 9 - 18 + 4 = - 5
vertex = (3, - 5 ) → second table