Answer:
The value of the maximum distance the spring will be compressed
x = 0.143 m= 14.3 cm
Step-by-step explanation:
Given data
Mass m = 1.5 kg
h = 0.9 m
k = 1500
Since the book is released from a height h = 0.9 m above the top of the spring. so the total distance
y = h + x
Now in that case for the spring


By rearranging the above equation we get

Put all the values in above equation we get

By solving the above equation we get
x = 0.143 m= 14.3 cm
This is the value of the maximum distance the spring will be compressed.
Answer:
The graph of the inverse function is the same that the graph of the original function
Step-by-step explanation:
step 1
Find the equation of the function in the graph
Let
f(x) ---> the function in the graph
we know that
Is a linear function
take the points (0,6) and (6,0)
<em>Find the slope of the linear function</em>

<em>Find the the equation of the linear function in slope intercept form</em>

we have

---> the y-intercept is given
substitute

step 2
Find the inverse of the function f(x)
Let
y=f(x)

<em>Exchange the variables (x for y and y for x)</em>

Isolate the variable y

Let



In this problem the graph of the inverse function is the same that the graph of the original function
The given points are (4,8) & (9,-4)
slope of a line = <u>Y2 - Y1</u>
X2 - X1
====> <u>(-4) - 8</u> = <u>-12</u>
9 - 4 5
19/25 or 76/100 so it would be 76%
1 foot = 12 inches, and we get 9600 inches, which is 24.384 dekameters.
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Hope this helps!
==jding713==