Answer:
Part 1) Australia 
Part 2) China 
Part 3) Mexico 
Part 4) Zaire 
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by

where
P(t) is the population
t is the number of years since year 2000
a is he initial value
r is the rate of change
Part 1) Australia
we have

substitute


Find the expected population in 2025,
Find the value of t
t=2005-2000=5 years
substitute the value of t in the equation

Part 2) China
we have

substitute


Find the expected population in 2025,
Find the value of t
t=2005-2000=5 years
substitute the value of t in the equation

Part 3) Mexico
we have

substitute


Find the expected population in 2025,
Find the value of t
t=2005-2000=5 years
substitute the value of t in the equation

Part 4) Zaire
we have

substitute


Find the expected population in 2025,
Find the value of t
t=2005-2000=5 years
substitute the value of t in the equation

The value of n in the given equation is -2.6
Step-by-step explanation:
Given,
10 = 
To find the value of n
10 = 
or, 10(3n+8) = 2 [ by cross multiplication]
or, 30n + 80 = 2
or, 30n = 2-80 [ taking the constant values in one side]
or, 30n = -78
or, n = 
or, n = -2.6
Answer:
(x-2), (x+2), (3x-5)
Step-by-step explanation:
Factors of 3: ±1, ±3
Factors of 20: ±1, ±2, ±4, ±5, ±10, ±20
Possible factors of the polynomial: ±1, ±2, ±3, ±4, ±5, ±10, ±20, .... (there's a lot more but you probably do not need to list them all)
Pick a number to divide the polynomial by (I picked 2)
(3x³-5x²-12x+20)÷(x-2) = 3x²+x-10
So (x-2) is a factor of f(x) = 3x³-5x²-12x+20
Factor 3x²+x-10 = (3x-5)(x-2) these are the other factors of f(x) = 3x³-5x²-12x+20
Answer:
this is the graph to the equation :) hope this helps in all ways possible:)
Step-by-step explanation: