Answer:
Jim would get 1500, Martha gets 2250
Step-by-step explanation:
We know that that the water level is 3 feet below your deck. (-3)
When the tide goes out, the water level lowers 1 foot. (-1)
A storm surge comes in, the water level rises 2 feet. (+2)
New water level: -3-1+2= -4+2= -2
The new water level is 2 feet below the dock.
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Part A) x-intercepts simply show that when the value of the function is zero. Vertex coordinates show that when the function obtains its maximum value. When x=50, function obtains its maximum value and it's 75. The function is increasing in the interval (0, 50) and decreasing in the interval (50, 100). In regard to the height and distance of the tunnel, these numbers show that decreasing and increasing intervals are symmetric. Each number from the intervals has its own pair in the corresponding interval and they are located in the same distance from the midpoint (50,75)
Part B) In order to calculate the average rate of change, we can first write the function. Using the information about the x-intercept and the vertex coordinates, we find that our function is

.
Plugging 15 and 35 in x, we can find the values of the function, i.e.

and

.
Then, the average change is
Answer:
The solutions are π/4, 3π/4,5π/4,7π/4
Step-by-step explanation:
The given equation is
6sin²(x) = 3
Divide by 6 to get:

This implies that;

If


in the first quadrant

in the second quadrant.
If


in the third quadrant

Answer:
x = 4
Step-by-step explanation:
Step 1: Subtract 4 from both sides.
5x+4−4=24−4
5x=20
Step 2: Divide both sides by 5.
5x
5
=
20
5
x=4
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