Of all rectangles with a perimeter of 3131, which one has the maximum area? (give the dimensions.)

I'll tell you more: when you fix the perimeter of the rectangle, the one with the maximum area is always the square with that perimeter. Here's the proof.

Given a perimeter 2P, all rectangles with that perimeter have sides x and y such that

The area is the product of the dimensions, so

The maximum of this parabola is found by setting its derivative to zero:

which implies

So, the maximum area is achieved when x=y, i.e. when the rectangle is actually a square.

So, the square with perimeter is 3131 has side length

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

the number 100 represents the number of trials in the experiment.

49/100 represents the experimental probability of the coin landing heads up.

step-by-step explanation: