Answer:
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Step-by-step explanation:
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Answer:
Part A) The amplitude = 24
Part B) The period = 24
Part C) Vertical shift = 36
Step-by-step explanation:
The general equation of the sine function:
y = A sin (Bx) + C
Where A is the amplitude and B = 360°/Period and C is the vertical shift
See the attached figure which represents the graph of m and f(m)
So,
<u>Part A:</u>
The function has minimum at 12 and maximum at 60
The difference is = 60 - 12 = 48
So, The amplitude = 48/2 = 24
<u>Part B:</u>
Period: The period of a periodic function is the interval on which the cycle of the graph that's repeated in both directions lies.
We can deduce that the function completes one cycle within 24 months
So, the period = 24
<u>Part C:</u>
Vertical shift is obtained at m = 0
So, f(m) = 36
36 = A sin (0) + C
C = 36 ⇒ Vertical shift
So, The amplitude = 24
The period = 24
Vertical shift = 36
Answer:
y = 10
Step-by-step explanation:
Since FI and HI are equal to each other, we can set the equations equal to each other.
13y - 85 = y + 35
Add 85 to both sides, then subtract 1y from both sides.
12y = 120
Now divide by 12 on both sides.
y = 10 is the answer.