What is the average score? 79, 82, 85, 91, 97, 73, 88, 87, 85, 92, 90, 85, 86, 91, 94, 85, 92
alexdok [17]
79+82+85+91+97+73+88+87+85+92+90+85+86+91+94+85+92=1482 divided by 17 ( the amount of numbers) = 87.17
Answer:
y = -2x + 3
Step-by-step explanation:
<u>Step 1: Find out what each part of slope intercept form is</u>
Slope Intercept Form: y = mx + b
<em>m is the slope</em>
<em>b is the y-intercept</em>
<u>Step 2: Plug in the information into the formula</u>
m/slope = -2
b/y-int = 3
<em>y = -2x + 3</em>
<em />
Answer: y = -2x + 3
It would be still be X. Any number times 1 is that number. For example 3x1=3 and 325x1=325 :)
The equation of the rotating light is an illustration of a secant function
The equation that represents the distance between the center of the circle and the light source is ![d(t) = 40\sec(\frac{\pi}{3}t)](https://tex.z-dn.net/?f=d%28t%29%20%3D%2040%5Csec%28%5Cfrac%7B%5Cpi%7D%7B3%7Dt%29)
<h3>How to determine the equation</h3>
The equation is a secant function represented by
![y =A\sec(Bt)](https://tex.z-dn.net/?f=y%20%3DA%5Csec%28Bt%29)
Where:
A represents the amplitude
So, we have:
--- the distance of the light from each square wall
B represents the period, and it is calculated as:
![B = \frac{2\pi}{T}](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B2%5Cpi%7D%7BT%7D)
The light completes its full rotation every 6 seconds.
This means that,
T = 6
So, we have:
![B = \frac{2\pi}{6}](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B2%5Cpi%7D%7B6%7D)
Simplify
![B = \frac{\pi}{3}](https://tex.z-dn.net/?f=B%20%3D%20%5Cfrac%7B%5Cpi%7D%7B3%7D)
Substitute values for A and B in ![y =A\sec(Bt)](https://tex.z-dn.net/?f=y%20%3DA%5Csec%28Bt%29)
![y = 40\sec(\frac{\pi}{3}t)](https://tex.z-dn.net/?f=y%20%3D%2040%5Csec%28%5Cfrac%7B%5Cpi%7D%7B3%7Dt%29)
Rewrite as a function
![d(t) = 40\sec(\frac{\pi}{3}t)](https://tex.z-dn.net/?f=d%28t%29%20%3D%2040%5Csec%28%5Cfrac%7B%5Cpi%7D%7B3%7Dt%29)
Hence, the equation that represents the distance between the center of the circle and the light source is ![d(t) = 40\sec(\frac{\pi}{3}t)](https://tex.z-dn.net/?f=d%28t%29%20%3D%2040%5Csec%28%5Cfrac%7B%5Cpi%7D%7B3%7Dt%29)
Read more about trigonometry functions at:
brainly.com/question/1143565