Answer:
y = 0
Step-by-step explanation:
The given sinusoidal equation is 
The general form of the sin function is presented as follows;
y = A·sin(B·(x - C)) + D
Where;
A = The amplitude
The period, T = 2·π/B
The frequency, f = B/2·π
C = The horizontal shift
D = The vertical shift
By comparison with the given sine function, we have;
The amplitude, A = 2
The frequency, f = B/2·π = π/2/(2·π) = 1/4
The frequency, f = 1/4 Hz
C = The horizontal shift = 3/(π/2) = 6/π
The vertical shift, D = 0
Given that the mid line of the parent function, sin(x), is the line y = 0, and that the vertical shift is 0, the midline of the function, , is therefore, the line;
y = 0.
<span>y+4=3(x-7)
y + 4 = 3x - 21
y = 3x - 21 -4
y = 3x - 25
when x = 7
y = 3(7) - 25
y = -4
Therefore (7, -4) pass through this equation </span>
Answer:
3 Miles per hour. (MPH)
Step-by-step explanation:
This would be 1/7 x 21 = 21/7 = 3
The answers would most likely be A,C,and B from my calculations
Answer:
After 2.5 minutes the pool will have 27 gallons of water.
Step-by-step explanation:
The pool has already 12 gallons of water and Eric wants to fill it to at least 27 gallons.
The water is flowing at a rate of 6 gallons per minute.
Let, after t minutes the pool will have at least 27 gallons of water.
Therefore, we can write the equation as
27 = 12 + 6t
⇒ 6t = 15
⇒ t = 2.5 minutes.
Therefore, after 2.5 minutes the pool will have 27 gallons of water. (Answer)
