An expression for the height of the nth bounce is 0.80X^N = Height.
<h3><u>Equations</u></h3>
Since when dropped, a super ball will bounce back to 80% of its peak height, continuing on in this way for each bounce, to determine an expression for the height of the nth bounce the following calculation must be performed:
- X = Initial value
- 80% = 0.80
- N = Number of times the ball bounces
- 0.80X^N = Height
Therefore, an expression for the height of the nth bounce is 0.80X^N = Height.
Learn more about equations in brainly.com/question/2263981
Answer:
14.a
15.c
16.d
Step-by-step explanation:
i choose these because they are in the geometry book
Ok so this question:
y + 1 = - ( x - 2 ) (distribute the negative inside the parenthesis)
y + 1 = -x + 2 (substitute the y= -1)
-1 + 1 = -x + 2
0 = -x + 2 (take two to the other side)
-2 = -x (divide the negative away from x)
2 = x
You can look up cymath.com it will work the problem out for you and show you the steps.
Explanation:
Midline: it is a horizontal line where half of the function above it and half of the function is below it.
Amplitude: It means how far the function varies from the midline to the above and below.
Period: the distance between two consecutive maximum points (minimum points).
3) From the graph,
![\begin{gathered} \text{Midline}=\frac{Maximum\text{ point+ minimum point}}{2} \\ =\frac{3+(-1)}{2} \\ =\frac{3-1}{2} \\ =\frac{2}{2} \\ =1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BMidline%7D%3D%5Cfrac%7BMaximum%5Ctext%7B%20point%2B%20minimum%20point%7D%7D%7B2%7D%20%5C%5C%20%3D%5Cfrac%7B3%2B%28-1%29%7D%7B2%7D%20%5C%5C%20%3D%5Cfrac%7B3-1%7D%7B2%7D%20%5C%5C%20%3D%5Cfrac%7B2%7D%7B2%7D%20%5C%5C%20%3D1%20%5Cend%7Bgathered%7D)
Answer: Midline=1
1) Amplitude
![\text{Amplitude =}2](https://tex.z-dn.net/?f=%5Ctext%7BAmplitude%20%3D%7D2)
2) Periods
![\begin{gathered} \text{Period}=6 \\ \Rightarrow b=\frac{2\pi}{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BPeriod%7D%3D6%20%5C%5C%20%5CRightarrow%20b%3D%5Cfrac%7B2%5Cpi%7D%7B6%7D%20%5Cend%7Bgathered%7D)
4) The trigonometric equation is,
![\begin{gathered} y=a\cos (b(x-c))+d \\ a=\text{ amplitude} \\ b=\text{period} \\ c=\text{ phase shift} \\ d=\text{ vertical shift} \\ y=2\cos (\frac{2\pi}{6}x)+1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3Da%5Ccos%20%28b%28x-c%29%29%2Bd%20%5C%5C%20a%3D%5Ctext%7B%20amplitude%7D%20%5C%5C%20b%3D%5Ctext%7Bperiod%7D%20%5C%5C%20c%3D%5Ctext%7B%20phase%20shift%7D%20%5C%5C%20d%3D%5Ctext%7B%20vertical%20shift%7D%20%5C%5C%20y%3D2%5Ccos%20%28%5Cfrac%7B2%5Cpi%7D%7B6%7Dx%29%2B1%20%5Cend%7Bgathered%7D)
Answer: