The sinusoidal function that passes through (0,-6), has a period of 12 and an amplitude of 3 will be y = 3 sin 12x - 6.
What is a sinusoidal Function?
It is a function that repeats itself in a particular time interval.
The equation is given as
y = Asin (ωx + Ф) + k
We have
Amplitude (A) = 3
Period (ω) = 12
Phase difference (Ф) = 0
Then the equation will be
y = 3 sin 12x + k
The function is passing through (0, -6). Then we have
-6 = 3sin (12 × 0) + k
-6 = k
Then the equation will be
y = 3 sin 12x - 6
More about the sine function link is given below.
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9514 1404 393
Answer:
(x, y) = (-2.5, -4)
Step-by-step explanation:
Since you are given an expression for y, it is convenient to substitute that into the second equation.
2x -3(6x +11) = 7
2x -18x -33 = 7
-16x = 40 . . . . . . add 33
x = -40/16 = -2.5
Using the equation for y, we find ...
y = 6(-2.5) +11 = -15 +11 = -4
The solution is (x, y) = (-2.5, -4).
Answer:
37.68 for circumference
Step-by-step explanation:
You find the circumference by doing 3.14 x diameter
Answer:
0 is not in domain
5 is not in domain
10 is in domain
Step-by-step explanation:
10 is in domain because inputting 10 into the function gives an output of 0
0 is not in th domain because 0 gives us the square root of a negative number, and the quare of a negative number isnt a real number
5 is not in the domain for the same reason