Answer: Option b.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in the option b.
Answer:
34
Step-by-step explanation:
15 + 4 = 19
19 + 15 = 34
(What do they mean estimate your answer?)
An estimation is 30(?)
<span>2/3 or 0.66666
This is a sum of an infinite series problem.
A sequence of 1 will happen with a probability of 0.5
A sequence of 3 will happen with a probability of 1/2^3, 1/8, = 0.125
In general we have an infinite series of
1/2^1 + 1/2^3 + 1/2^5 + ... + 1/2^(2n-1) where n >= 1
The sum of such a series with a constant ratio between sequential terms is
S = s1/(1-r)
where
s1 = first term in the series
r = ratio between terms.
The value for s1 = 0.5 as shown above and the 2nd term is 0.125. So
r = 0.125 / 0.5 = 0.25
And the sum of the infinite series is
S = s1/(1-r)
S = 0.5/(1 - 0.25)
S = 0.5/0.75
S = 2/3
S = 0.666..66
So the probability of the first head coming up in an odd number of tosses is 2/3, or 66.6%</span>
Answer:You keep walking like that, and end up where you started. The direction you were walking in made one full circle, or 360∘ . Each corner added 9∘ . How many corners were there? Well, that must be 360∘9∘=40 .
