Hi there!
Simplify th' Eqn.
(9x² + 2x - 5) + (6x² - 5x + 4)
⇒ 9x² + 2x - 5 + 6x² - 5x + 4
⇒9x² + 6x² + 2x - 5x - 5 + 4
⇒ 15x² - 3x - 1
Hence,
The simplified form is = 15x² - 3x - 1
~ Hope it helps!
Answer:
P(t) = 2093e^(42t).
Step-by-step explanation:
The population of this town can be modeled by the following differential equation
dP/dt = Pr
where r is the growth rate in people a year.
We can solve this differential equation by the separation of variables method.
dP/P = rdt
Integrating both sides, we have:
ln P = rt + P0
where P0 is the initial population
To isolate P, we do this:
e^(ln P) = e^(rt + P0)
P(t) = P0e^(rt).
We have that the population increases by 42 people a year, so r = 42. We also have that the population at time t = 0 is 2093 people, so P0 = 2093.
So the formula for the population, P, of the town as a function of year t is P(t) = 2093e^(42t).
Answer:
1/15
Step-by-step explanation: