we have the function

Part a
For t=7
substitute in the given function

For t=14

For t=21

For t=28

For t=35

Observation: The values of E varies from -1 to 1, including the zero
Part B
Remember that
The Period goes from one peak to the next
so
Period=2pi/B
B=pi/14
Period=(2pi)/(pi/14)=2pi*14/pi=28
<h2>the period is 28 days</h2>
Step-by-step explanation:
the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
so,
(h(7) - (h(3)) / (7 - 3)
h(7) = 7² - 7×7 + 6 = 49 - 49 + 6 = 6
h(3) = 3² - 7×3 + 6 = 9 - 21 + 6 = -6
7 - 3 = 4
(6 - -6)/4 = 12/4 = 3
the average change rate in that interval is 3 (or fully 3/1).
Answer:
all numbers
Step-by-step explanation:
3x - 5(x + 6) = -2x -2(5 + 10)
Distribute on both sides.
3x - 5x - 30 = -2x - 10 - 20
Add 2x to both sides.
-2x - 30 = -2x - 30
-30 = -30
Since we get a true statement after only doing legal steps to solve the equation, the equation has an infinite number of solutions.
Answer: all numbers
Observe.
6/2(1+2)
6/2(3)
6/6
1
Thus, the answer is: 1