Answer:
Step-by-step explanation:
We can write this rate as an ordinary differential equation.
Where a is proportional constant, P the population variable, and t the time.
Integrating each side of the equation.
To find C we need to use the initial condiction, it means evaluae P at t=0.
Now, we use the sentence the population has doubled in 5 years.
We can find "a" in this condition.
Finally, let's find how long will it take to triple.
I hope it helps you!
Answer:
Factor 9 out of 18x.
9(2x)−9
Factor 9 out of −9
9(2x)+9(−1)
Factor 9 out of 9(2x)+9(−1)
9(2x−1)
(3x-5)(3x-5) gives a perfect square trinomial
because it is in the (a-b)square format
(a-b)square= asquare -2ab +bsquare
asquare -2ab + bsquare is a trinomial
The interval that function f(x)=x³-9x has a positive average rate of change is [ -4, -1 ].
Option D) is the correct answer.
<h3>Over which interval does f have a positive rate of change?</h3>
To determine whether the average rate of change is positive, f(max) - f(min) must be greater than zero.
Given the function; f(x) = x³ - 9x
We determine f(max) - f(min)
At interval [ -2, 1 ]
(x³ - 9x) - ( x³ - 9x )
( (1)³ - 9(1) ) - ((-2)³ - 9(-2))= -8 - 10 = -18 NOT POSITIVE
At interval [ -2, 3 ]
(x³ - 9x) - ( x³ - 9x )
( (3)³ - 9(3) ) - ((-3)³ - 9(-3))= 0 - 0 = 0 NOT POSITIVE
At interval [ -1, 2 ]
(x³ - 9x) - ( x³ - 9x )
( (2)³ - 9(2) ) - ((-1)³ - 9(-1))= -10 - 8 = -18 NOT POSITIVE
At interval [ -4, -1 ]
(x³ - 9x) - ( x³ - 9x )
( (-1)³ - 9(-1) ) - ((-4)³ - 9(-4))= 8 - (-28) = 36 POSITIVE
Therefore, the interval that function f(x)=x³-9x has a positive average rate of change is [ -4, -1 ].
Option D) is the correct answer.
Learn more about average rate of change: brainly.com/question/23715190
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Answer:
wow really
Step-by-step explanation: thanks alot :)
