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
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Answer:
Probability
Step-by-step explanation:
In this game, the players rely entirely on chance to win, rather than skill. Therefore, this game would be particularly useful in helping students' understanding of probability.
(Spoken from someone who played this exact game 2 years ago to learn about probability.)
Answer:
20t
Step-by-step explanation:
Carly buys t play tickets at $14.50 per ticket and t choir concert tickets at $5.50 per ticket. What is the cost for play tickets and choir concert tickets.
The cost of the play tickets is the number of play tickets multiplied by the cost of each ticket.
Play tickets: number of tickets: t; cost of each ticket: $14.50
Cost of play tickets: 14.50t
The cost of the choir tickets is the number of choir tickets multiplied by the cost of each ticket.
Choir tickets: number of tickets: t; cost of each ticket: $5.50
Cost of choir tickets: 5.50t
Total cost of play tickets and choir tickets:
14.50t + 5.50t = 20t
The written form of the mathematical expression as given in the task content; 2 − (p + 6); is; the difference between 2 and the sum of p and 6.
<h3>What is the written form of the mathematical expression given in the task content?</h3>
It follows from the task content that the expression given is; 2 − (p + 6).
Since, the expression in the parentheses can be expressed in words as the sum of; p and 6.
Hence, it follows that the whole expression can be expressed as the difference between 2 and the sum of p and 6.
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Answer:
The midpoint is (2.5,-6) or written as a fraction (
, -6)
Step-by-step explanation:
