Please Help, I do not have much time! A series of locks manages the water height along a water source used to produce energy. As the locks are opened and closed, the water height between two consecutive locks fluctuates.

The height of the water at point B located between two locks is observed. Water height measurements are made every 10 minutes beginning at 8:00 a. m.

It is determined that the height of the water at B can be modeled by the function f(x)=−11cos(πx/48 − 5π/12)+28 , where the height of water is measured in feet and x is measured in minutes.

What is the maximum and minimum water height at B, and when do these heights first occur?

See the attached figure.

Step-by-step explanation:

The given function is

We should know that:e

y = cos x

So, the maximum is y = 1 at x = 0 and the minimum is y = -1 at x = π

So, for the given function

The maximum of f(x) will be at

And f(x) = -11 * -1 + 28 = 11 + 28 = 39

∴

x = 48 * 17/12 = 68 minutes = 1 hour and 8 minutes

The results beginning at 8:00 a.m

So, the maximum will occurs at 9:08 a.m

The minimum of f(x) will be at

And f(x) = -11 * 1 + 28 = -11 + 28 = 17

x = 48*5/12 = 20 minutes

The results beginning at 8:00 a.m

So, the minimum will occurs at 8:20 a.m

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: