Answer:
A
Step-by-step explanation:
The function is 
To find the maximum population, we need to set t towards infinity to get our answer.
So, we replace time with maximum (
). Let's check:

The population of birds approaches 1620 as t goes towards infinity. So we can say the max population of the species is 1620.
Correct answer is A
Answer:
Step-by-step explanation:
The easy way to make 2 perpendicular lines is let one be x = 3 and let y = 2.
The third line can be anything that has a minus sign in front of the x. See the graph below. The third line cannot be perpendicular to the other 2.
Sorry, the bottom of the graph got cut off. If you print out the graph and extend the vertical line and the slanted line, you will see how this works.
The three lines are
Answer:
The average rate of change on the given interval is 9/70
Step-by-step explanation:
Here, we are to find the average rate of change of the function on the given interval
We proceed as follows;
on an interval [a,b] , we can find the average rate of change using the formula;
f(b) - f(a)/b-a
From the question;
a = 0
b = 3
f(0) = -3/5
f(3) = -3/14
Substituting the values, we have;
-3/14-(-3/5)/3-0
= 3/5-3/14/3
= (42-15)/70/3
= 27/70/3
= 27/70 * 1/3 = 9/70
Given:
The equation of line is

To find:
The x and y-intercept of the given line.
Solution:
We have,

Putting x=0, we get

Add 6 on both sides.


Divide both sides by 4.

So, the y-intercept is
.
Putting y=0 in given equation, we get

Add 5 on both sides.


Divide both sides by 7.

So, the x-intercept is
.