Answer:
6x^3 - 2x^2 -11x +4
Step-by-step explanation:
(3x-4)(2x^2+2x-1)
Multiply 3x by the second term
3x* (2x^2+2x-1)
6x^3 +6x^2 -3x
Multiply -4 by the second term
-4*(2x^2+2x-1)
-8x^2 -8x+4
Add these together, lining up the terms
6x^3 +6x^2 -3x
-8x^2 -8x+4
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6x^3 - 2x^2 -11x +4
First we need to know how many months is 2 years. To answer that we multiply the number of months in a year by 2 and get 48 months.
Every 3 months the population of turtles doubles, but to get how many times the population doubles, you need to divide 48 months by 3 to get 16.
So population of 400 will get <u>doubled</u> 16 times in the following <u>two</u> years.
We construct the following equation where
is the final population,

Hope this helps. :)
Answer:
a=3
Step-by-step explanation:
Answer:
26 ft square by 13 ft high
Step-by-step explanation:
The tank will have minimum surface area when opposite sides have the same total area as the square bottom. That is, their height is half their width. This makes the tank half a cube. Said cube would have a volume of ...
2·(8788 ft^3) = (26 ft)^3
The square bottom of the tank is 26 ft square, and its height is 13 ft.
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<em>Solution using derivatives</em>
If x is the side length of the square bottom, the height is 8788/x^2 and the area is ...
x^2 + 4x(8788/x^2) = x^2 +35152/x
The derivative of this is zero when area is minimized:
2x -35152/x^2 = 0
x^3 = 17576 = 26^3 . . . . . multiply by x^2/2, add 17576
x = 26
_____
As the attached graph shows, a graphing calculator can also provide the solution.
Answer:
A
Step-by-step explanation:
Try testing each graph by picking a point on the shaded region or none shaded region.
-1/5 and 6= y-intercept
4/5 and 2= slope
You may notice that it is in y-intercept form. So to find where the shaded region goes, test a coordinate and apply it to the equation, if the answer is false, than half of the line is not where the shaded region goes.