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
The axis of symmetry of a parabola in the form
is a vertical line
where k is the x coordinate of the vertex of the parabola.
The x coordinate of the vertex of the parabola is given by
which in your case is
So, the axis of symmetry is the line x=12.
The length and width of the rectangle is 11 in and 8 in respectively.
Step-by-step explanation:
Given,
The width of a rectangle is 3 in less than the length.
The area of each congruent right angle triangle = 44 in²
To find the length and width of the rectangle.
Formula
The area of a triangle with b base and h as height = bh
Now,
Let, the width = x and the length = x+3.
Here, for the triangle, width will be its base and length will be its height.
According to the problem,
×(x+3)×x = 44
or,
or,
or, +(11-8)x-88 = 0
or, +11x-8x-88 =0
or, x(x+11)-8(x+11) = 0
or, (x+11)(x-8) = 0
So, x = 8 ( x≠-11, the length or width could no be negative)
Hence,
Width = 8 in and length = 8+3 = 11 in