I do believe it is 0.46852
Step-by-step explanation:
the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
so,
(h(7) - (h(3)) / (7 - 3)
h(7) = 7² - 7×7 + 6 = 49 - 49 + 6 = 6
h(3) = 3² - 7×3 + 6 = 9 - 21 + 6 = -6
7 - 3 = 4
(6 - -6)/4 = 12/4 = 3
the average change rate in that interval is 3 (or fully 3/1).
Answer:
f(g(2)) = 4
Step-by-step explanation:
find g(2) then substitute the value obtained into f(x)
locate x = 2 on the x- axis, go vertically up to meet g(x) at (2, 5 )
locate x = 5 on the x- axis, go vertically up to meet f(x) at (5, 4 )
then f(g(2)) = 4
Answer:
Step-by-step explanation:
Given
radius of wheel 
Time period of Wheel 
and
, where 

Let at any angle
with vertical position of a point is given by


and 
for velocity differentiate x and y to get


Height at any time t is given by

Answer:
252 children and 395 adults
Step-by-step explanation:
Make a linear system of equations, where x represents the number of children and y represents the number of adults
x+y=648
1.50x+2.25y=1269
solve using substitution, so y=648-x,
then substitute this into the second equation, so you get 1.50x+2.25(648-x)=1269,
solve for x and you will get x equals the 252
then substitute this into the first equation, so you get 252+y=648
solve and you will get y=395