Answer:
bottom graph of left picture
Step-by-step explanation:
For each day he makes his bed, he earns $0.50
In 1 day he earns $0.50
In 2 days he earns $1.00
In 3 days, he earns $1.50
...
In 8 days, he earns $4.00
Look in the 4 graphs.
Which graph has the following points, (1, 0.5), (2, 1), 3, 1.5), ... , (8, 4)?
It is the second graph (bottom graph of left picture.)
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:
Sam made a mistake, and their correct value is 30.
Step-by-step explanation:
43. 125 milliliters
45. 9 tsp
49. 6 tsp
Answer:
n=37
Step-by-step explanation:
45-8=37
