The population Pa of insect A after t years is given by the equation
Pa = 1.3(1-0.038)^t
while the population Pb of insect B after t years is
Pb = 2.1(1-0.046)^t
We equate the above expressions to find the number of years t it will take the two populations to be equal:
Pa = Pb
1.3(1-0.038)^t = 2.1(1-0.046)^t
1.3(0.962)^t = 2.1(0.954)^t
These are the equations that can be used to determine how long it will be before the populations of the two species are equal.
We can now solve for t:
(0.962)^t / (0.954)^t = 2.1/1.3
(0.962/0.954)^t = 2.1/1.3
After taking the log of both sides of our equation, number of years t is
t = log (2.1/1.3) / log (0.962/0.954)
t = 57 years
Therefore, it will take 57 years for the population of insect A to equal the population of insect B.
Remember that polynomials are closed under addition, subtraction, and multiplication, but they are not closed under division. The only division you have there is B; therefore the correct answer is
B.
A.
![(14x-2)3(x-2)=14 x^{2} -90x+10](https://tex.z-dn.net/?f=%2814x-2%293%28x-2%29%3D14%20x%5E%7B2%7D%20-90x%2B10)
. The result is still a polynomial; therefore, answer A is incorrect.
B. ![\frac{(14x-2)}{3(x-2)} = \frac{14}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%2814x-2%29%7D%7B3%28x-2%29%7D%20%3D%20%20%5Cfrac%7B14%7D%7B3%7D%20)
with a remainder of 26. The result is not a polynomial anymore; therefore,
B is the correct answer.
C.
![(14x-2)+3(x+2)=17x+4](https://tex.z-dn.net/?f=%2814x-2%29%2B3%28x%2B2%29%3D17x%2B4)
. The result is still a polynomial; therefore, answer C is incorrect.
D.
![(14x-2)+3(x+2)=17x+4](https://tex.z-dn.net/?f=%2814x-2%29%2B3%28x%2B2%29%3D17x%2B4)
. The result is still a polynomial; therefore, answer D is incorrect.
Answer:what it is
Step-by-step explanation:
Answer:
Step-by-step explanation:
This function I believe has one x intercept which is (-2/13,0)