Answer:
D. $0, $20, $90
Step-by-step explanation:
If X represents the amount you win, then possible outcomes for X are $0, $20, and $90.
Answer:
C
Step-by-step explanation:
g is distributed
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:
17, 19, 21
Step-by-step explanation:
x = first number
x+2 = second number
x+4 = third number
4x + 3(x+2) + 2(x+4) = 167
simplify:
4x + 3x + 6 + 2x + 8 = 167
combine like terms:
9x + 14 = 167
subtract 14 from each side of the equation:
9x = 153
divide both sides by 9:
x = 17
