The motion of the mass as it moves on the bottom of the spring is a
repetitive motion.
Reasons:
The general form of the equation of the simple harmonic motion of the
mass is <em>d</em> = a·sin(ω·t)
Where;
d = The distance of the mass from the rest position
a = The maximum displacement of the mass from the equilibrium position = 6 cm
ω = The frequency of rotation
t = The time of motion
ω = The frequency of rotation

Where;
T = The time to complete one cycle (the period of oscillation) = 4 seconds

Combining the above values gives the modelling equation as follows;

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Answer:
the vertex is at (3,17)
it opens downward
the axis of symetry is x=3
Step-by-step explanation:
let me know if you need more info than that.
Hope this helps! :)
Answer:
B
Step-by-step explanation:
We want to find the x and y-intercepts for the given linear equation.
The x-intercept is x = 12, and the y-intercept is y = 6.
We know that x represents the number of children and y the number of adults that can attend the rodeo for $180.
The x-intercept is defined as the x-value when y = 0. So we just need to replace y by 0 and solve for x:
15*x + 30*0 = 180
15*x = 180
x = 180/15 = 12
Meaning that if there are no adults, 12 children can attend to the rodeo for $180.
The y-intercept is the y-value when x = 0, similarly to before, this is computed as:
15*0 + 30*y = 180
30*y = 180
y = 180/30 = 6
This means that if only adults go, 6 of them can go for $180.
If you want to learn more, you can read:
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