Before it rebounds n times we have the inequality
36 (3/4)^n < 1
(3/4)^n < 1/36
n ln 3/4 < ln 1/36
n < ln 1/36 / ln 3/4
n < 12.46
so n = 12
answer is 12 bounces
1. Find Slope
m = y2-y1/x2-x1
m = -6 - 5/2-4
m = -11/-2
m = 11/2
2. Write equation with know information
y = mx + b
y = 11/2x + b
3. Choose any of the two points (doesn’t matter which in you choose) and replace the x and y value into the equation
y = 11/2x + b (4,5)
5 = 11/2(4) + b
5 = 22 + b
Use algebra and solve for b
5 - 22 = b
b = -17
State all the information you know
m = 11/2 b = -17
Write the equation
y = 11/2x - 17
-x/y is equivalent to x/-y according to the division rule a/b*d/c=a/b*c/d.
<h3>Describe division.</h3>
In division, a number is divided, which is an easy operation. In mathematics, division is the division of a sum into equal parts. A group of 20 people, for instance, could be divided into four groups of 5, five groups of 4, and so on. Division's opposite is multiplication. If 3 groups of 4 add up to 12, then 4 are in each group when 12 is divided into 3 equal groups.
According to the division rule a/b/c/d=a/b*d/c,
=1/(y/-x)
=1*-x/y
=-x/y
-x/y is equivalent to x/-y according to the division rule a/b÷c/d=a/b*d/c.
To know more about division,
brainly.com/question/21416852?referrer=searchResults
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3/16= 0.1875
Though if you mean 16/3 it is 5.333.....