Shampoo: 2, 4, 6, 8, 10, 12, 14 16, 18 , 20, 22, 24
nail polish: 4, 8, 12, 16, 20,. 24
combs: 8, 16, 24
hair dryers, 12, 24
find the least common multiple of the weeks given, 2, 4, 8, 12
the number is 24 so every 24 weeks
<span>f(x)=2x
f(1)=2*1=2
f^2(1)=2*2*1=4
f^3(1) =2*2*2*1=8
1. If you
continue this pattern, what do you expect would happen to the numbers as
the number of iterations grows?
I expect the numbers continue growing multiplying each time by 2.
Check your result by conducting at
least 10 iterations.
f^4(1) = f^3(1) * f(1) = 8*2 = 16
f^(5)(1) = f^4(1) * f(1) = 16 * 2 = 32
f^6 (1) = f^5 (1) * f(1) = 32 * 2 = 64
f^7 (1) = f^6 (1) * f(1) = 64 * 2 = 128
f^8 (1) = f^7 (1) * f(1) = 128 * 2 = 256
f^9 (1) = f^8 (1) * f(1) = 256 * 2 = 512
f^10 (1) = f^9 (1) * f(1) = 512 * 2 = 1024
2. Repeat the process with an initial value of −1.
What happens as the number of iterations grows?
f(-1) = 2(-1) = - 2
f^2 (-1) = f(-1) * f(-1) = - 2 * - 2 = 4
f^3 (-1) = f^2 (-1) * f(-1) = 4 * (-2) = - 8
f^4 (-1) = f^3 (-1) * f(-1) = - 8 * (-2) = 16
f^5 (-1) = f^4 (-1) * f(-1) = 16 * (-2) = - 32
As you see the magnitude of the number increases, being multiplied by 2 each time, and the sign is aleternated, negative positive negative positive ...
</span>
Answer:
x=-7, x=6
Step-by-step explanation:
Given :
a paddle boat travels upstream = 12 miles
a paddle boat travels downstream = 20 miles
speed of the current = 2 miles per hour
Let the speed of the boat =x
Let the time taken = t
We know the distance for upstream D= (boat speed - current speed) * time
the distance for downstream D= (boat speed + current speed) * time
Plug in all the values and variables in the distance
For upstream 12 = (x-2)t, then 
For downstream 20 = (x+2)t then 
we got two equations for t, equate it and solve for x
Cross multiply it
12(x+2) = 20(x-2)
12x + 24 = 20x - 40 (subtract 12x and add 40 on both sides)
64 = 8x
x= 8
the speed of the boat in still water = 8 miles per hour
Answer:
2800 ft^2
Step-by-step explanation:
