Answer:
(c)
(ii)
Step-by-step explanation:
(a)The rate of growth of the population is proportional to the population, this is written as:
(b)
(c)
Suppose the net birthrate of the population is .1, and the initial population is 100.
k=0.1
P(0)=100
Substitution into P(t) gives:
C=100
Therefore:
(i)When t=10
(ii)When t=1000
Answer:
1
Step-by-step explanation:
The function f(x)=x+6*2 can be rewritten as f(x)=x+12
The average rate of change on the function f on [a,b] interval is the ratio of the changes :
We determine our substitute our interval values in the function:
Hence, the average rate of change is 1
The answer would be that It is linear.
Answer:
vertex = (- 4, - 18 )
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
The the x- coordinate of the vertex is
= -
f(x) = x² + 8x - 2 ← is in standard form
with a = 1 and b = 8 , thus
= - = - 4
Substitute x = - 4 into f(x) for corresponding y- coordinate
f(- 4) = (- 4)² + 8(- 4) - 2 = 16 - 32 - 2 = - 18
vertex = (- 4, - 18 )