Answer:
see graph
Step-by-step explanation:
g(x) = 3^ x .
h(x) = 2^-x
We want to subtract them
f(x) = 3^x - 2^(-x)
I will rewrite without the negative exponent
f(x) = 3^x - (1/2)^(x)
Lets pick a couple of points
f(0) = 3^0 - (1/2) ^ 0 = 1-1 = 0
As x gets large 3^x gets large and 1/2^x gets close to 0, so it will get large
As x goes to negative infinity, 3^x goes to zero and 1/2^ gets large so we get - infinitity
Answer:
There you go.
Step-by-step explanation:
Answer:
0.0174 is the answer you are looking for
Answer:
be the second player, and always leave a multiple of 3 balloons
Step-by-step explanation:
In order to win, a player must force the other player to leave one or two balloons. To do that, the winning player must leave one more balloon than the maximum number that can be popped. That is, the winner will be the player who leaves 3 balloons,
Working backward, we find that the winner must leave a multiple of 3 after each turn. Since the starting number is a multiple of 3, the first player must lose if the second player plays optimally.
The winning strategy is ...
- be the second player
- always leave a multiple of 3 balloons.
Answer:
The ratio of a circle's circumference to its diameter
In other words: all the way around a circle divided by all the way across it.
The symbol is π (pi)
No matter how large or small the circle, its circumference is always π times its diameter.
π = 3.14159265358979323846... (the digits go on forever without repeating)
A rough approximation is 22/7 (=3.1428571...), but that is not accurate.
Step-by-step explanation:
