Add the two expressions. −6m+10 and 9m−9 Enter your answer in the box.
1 answer:
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Answer:
f(x) has two imaginary roots and one real root.
Step-by-step explanation:
Complex roots:
I a complex number is a root of a polynomial, it's conjugate
is also a root.
One root of a third degree polynomial function f(x) is -5 + 2i.
This means that -5 - 2i is another root of the polynomial, and thus, 2 of the roots are complex.
Third degree, so it has three roots, which means that the third root is real(not possible to have a complex root without it's conjugate), and thus, the correct answer is:
f(x) has two imaginary roots and one real root.
Answer:
(a) k=0.06217
(b)
(c) 556,755 is the population in 2012
Step-by-step explanation:
Population increased from 264,036 in 1990 to 491,675 in 2000.
Let assume , year 1990 as t=0
When t=0, population P = 264,036
When t=10, population P = 491,675
Exponential growth equation is P=P_0e^(kt)
is the initial population when t=0
So
When t=10, population P = 491,675
Plug in all the values and find out k
Divide both sides by 264036
To remove 'e' we take ln on both sides
The value of ln(e) = 1
Divide both sides by 10
k=0.06217
Exponential growth equation is
We know
Replace the value of k
Now , we find the population in 2012
For year 2012 , t= 12
So we plug on 12 for t and solve for P
P = 556755.09504
556,755 is the population in 2012