Answer: Period = 4
Amplitude = 3
<u>Step-by-step explanation:</u>
Period is the interval of one "cycle" before the pattern repeats.
If you notice that when x = 0, y = -4.
When does the pattern repeat (reach -4 again)?
Answer: when x = 4.
So the interval of one "cycle" is 4 units --> Period = 4.

Answer:

Step-by-step explanation:
Given function
is linear function. This linear function represents the straight line on the coordinate plane. The slope of this line is
Since the slope is negative, the linear function is decreasing for all x. This means

You ar geven the interval
So, the maximum value of the function is at the point x=-4 and the minimum value of the function is at the point x=3.
At x=-4,

<span>56f^3 g^2 = 7fg^2(8f^2)
and
70fg^3 = 7fg^2(10g)
</span>Gcf of 56f^3 g^2 and 70fg^3 = 7fg^2
Answer:
a. 
Step-by-step explanation:
Since f(x) is the function for the populational density at a certain sidewalk for a 5 mile stretch, a definite integral of that function will yield the total number of people within the integration intervals. If we are interested in the number of people in the whole 5 mile stretch, we must integrate f(x) from x = 0 miles to x = 5 miles:

Therefore, the answer is alternative a.
Let angle = x
sinx = 43.2/72.5
=> x = 36.57 degrees