Answer:
Step-by-step explanation:
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
brainly.com/question/10700288
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Answer:
Step-by-step explanation:
5x −11+11<-11+11
5x<0
5x/5<0/5
x<0
4x+2 -2 >14 -2
4x>12
4x/4>12/4
x>3
there both open not closed
hope this helps
Answer:
91.25 ft
Step-by-step explanation:
do 5 times 7.25 = 36.25 ft
9 times 5.75 = 51.75ft
1 times 3.25 = 3.25ft
add alll them up to get 91.25 ft
.8 as a decimal is still .8 but as a fraction idk
