5) m<1 = 60
6) m<2 = 30
7) m<3 = m<1 = 60
8) m<4 = m<2 = 30
90/18 = 5
9) m<1 = m<3 = 85
10) m<2 = m<4 = 5
The equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
<h3>The sinusoidal function</h3>
The minimum and the maximum of the function are
The amplitude (A) is calculated as:
A = 0.5 * (Maximum - Minimum)
So, we have:
A = 0.5 * (-5 + 1)
A = -2
The vertical shift (d) is calculated as:
d = 0.5 * (Maximum + Minimum)
So, we have:
d = 0.5 * (-5 - 1)
d = -3
The period (P) is calculated as:
P = 2π/B
From the graph,
B = 1
So, we have:
P = 2π/1
P = 2π
So, the amplitude is -2 and the period is 2π.
<h3>The equation of the sine function</h3>
In (a), we have:
A = -2
B = 1
d = -3
A sine function is represented as:
y = A sin(Bx + C) + D
So, we have:
y = -2sin(x + C) - 3
The graph passes through the point (0, -5)
So, we have
-5 = -2sin(0 + C) - 3
Solve for C, we have
C = 1.5
So, we have:
y = -2sin(x + 1.5) - 3
Hence, the equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
Read more about sinusoidal function at
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Answer:
number three
Step-by-step explanation:
number three
Jose has 65 nickels if you do $3.25/.05
Answer:
121
Step-by-step explanation:
to find the average, you are going to add them together and divide by two, because you have two numbers. so 137 + 105 = 242. then divide. 242/2 = 121 that is your answer.