Given:
The function is

where, function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.
To find:
Number of complex and real zeros.
Time intervals for which the population increased and population deceased.
Solution:
We have,


Here, degree of function x is 3. It means, the given function has 3 zeros.
From the given graph it is clear that, the graph of function r(x) intersect x-axis at once.
So, the given function r(x) has only one real root and other two real roots are complex.
Therefore, function r has 2 complex zeros and one real zero.
Before x=6, the graph of r(x) is below the x-axis and after that the graph of r(x) is above the x-axis.
Negative values of r(x) represents the decrease in population and positive value of r(x) represents the increase in population.
Therefore, based on instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.
answers below
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9514 1404 393
Answer:
B. 10 units
Step-by-step explanation:
The distance formula is useful.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((3-(-5))² +(-2-4)²) = √(64 +36) = √100
d = 10
The distance from L to M is 10 units.
Answer:
4:16 or 1:4
Step-by-step explanation:
1/5 of 20 = 4
there are 4 red marbles
there are 16 blue marbles
4:16 or 1:4
Answer:
f(- 5) = 25
Step-by-step explanation:
To evaluate f(- 5) , substitute x = - 5 into f(x) , that is
f(- 5) = - (- 5)² - 10(- 5) = - 25 + 50 = 25