Answer:
; ![f(1) = 3](https://tex.z-dn.net/?f=f%281%29%20%3D%203)
Step-by-step explanation:
Given
![1\ minute = 3\ friends](https://tex.z-dn.net/?f=1%5C%20minute%20%3D%203%5C%20friends)
Every other minute
![Each\ friend = 2\ other\ friends](https://tex.z-dn.net/?f=Each%5C%20friend%20%3D%202%5C%20other%5C%20friends)
Required
Determine the recursive function
Let the number of minutes be represented with n.
The initial condition can be represented as:
![n = 1](https://tex.z-dn.net/?f=n%20%3D%201)
--- i.e. 3 friends initially at the first minute
At every other minutes:
i.e 2 minutes upwards
This means that n follows the following sequence
![n \to n, n -1, n -2,n -3, n - 4,.....,4,3,2](https://tex.z-dn.net/?f=n%20%5Cto%20n%2C%20n%20-1%2C%20n%20-2%2Cn%20-3%2C%20n%20-%204%2C.....%2C4%2C3%2C2)
Note that the difference between each term is 1.
This means that recursive function has to be defined backwards i.e.
![f(n) = f(n- 1) * k](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-%201%29%20%2A%20k)
Where k = 2
i.e. The number of friends that received the video from each friend
So, we have:
![f(n) = f(n- 1) * 2](https://tex.z-dn.net/?f=f%28n%29%20%3D%20f%28n-%201%29%20%2A%202)
Hence, the recursive function is:
; ![f(1) = 3](https://tex.z-dn.net/?f=f%281%29%20%3D%203)
Help, please!Help, please!Help, please!Help, please!Help, please!Help, please!Help, please!Help, please!Help, please!Help, pleas
Salsk061 [2.6K]
Answer:
14x^2 - 21
Step-by-step explanation:
The area is
7 * (2x^2 -3)
Distribute
7*2x^2 -7*3
14x^2 - 21
Plot the intercepts:
y=-1
x=?
to find the x intercept, you dont solve the equation as it is solved in the slope-intercept form. instead, you simply plug in 0 for y:
0=1/4x-4
0=1/4x-4+4
4=1/4x
4/1/4=1/4x
1/4=0.25
x=16
revise:
y=(0, -1)
x=(16,0)
graph the slope for y=-1/2x-1: start from say point (0,-1)
graph the slope for y=1/4x-4: start from say point (16,0) ; you can just ise the intercept (0,-4) since the graph is diluted small...anyways
the points intersect at (4, -3) so thats the solution to the equations
NOTE: when graphing slopes that are negative either the numerator or the denominator can be graphed negative. so I graphed the first equation with the numerator as the positive and the denominator as the negative : rise= 1 ; run: -2. once i got to the end of the provided graph i started from the -1 y-intercept again and graphed the equation using: rise=-1; run=2
*graphing messes me up, too*
a) The image is a reduction because it is simply <em>smaller</em> than the original.
b) We can find the scale factor by finding the<em> ratio of the side length of the new triangle compared to the original one</em>.
MS = 6 - (-3) = 6 + 3 = <em>9 units</em>
M'S' = 4 - (-2) = 4 + 2 = <em>6 units</em>
(Easiest to calculate because they are horizontal lines)
6 : 9 = 2 : 3 = 2/3 = 2 to 3
Answer:
The first is four the second is 524.
Step-by-step explanation:
Got it right. Give meh hearts