1. A weight suspended from a spring is set into oscillating motion by compressing it to a

point 3 cm above its position and releasing it. It takes 1.2 seconds for the weight to

complete one cycle.

Question:

Complete question for this is to find the equation for this and may be the graph.

Explanation:

As for the oscillation motion, initially peak is occurring hence it will be a cosine function with peak value of 3(cm).

To calculate time period, the whole cycle should be 360°

i.e.

cos (Xπ.t) = cos (360)

as the cycle completes at 1.2 sec hence by putting t=1.2, answer should be 360.

i.e.

X*180*t=360

X*180*1.2=360

X=5/3

So, the required equation is

Graph for this equation is attached here with this answer.

In graph,

x-axis: t=0 ~ t=1.2

y-axis: f(x)=-4 ~ f(x)=4

Answer Attached

Step-by-step explanation:

See answer attached.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18