Answer:
for this equation one factor is (x+6) and the other is (x-4)
Answer: 
Step-by-step explanation:
divided by
is the same thing as multiplying
by
.
The equation we get is:

With this equation, we can factor each equation:

We can cancel out like terms since they would be dividing each other:

Answer:
Step-by-step explanation:
Transformed of the function has been given as,
f(x) = 
= 
Parent function of this transformed function = 
Vertical stretch = By a factor of 
Horizontal shift = 3 units to the left
Vertical shift = 3 units up
Now we can summarize these transformations as,
1). Parent function g(x) =
has been vertically stretched by a factor of 
2). Followed by the translations of 3 units left and 3 units up.
You are finding 3 1/6 - 1 5/6.
To solve, you should first change it so that the numerator of the first fraction is greater than the numerator of the second. Note that both have the same denominator (6). Subtract as usual:
3 1/6 = 2 7/6
2 7/6 - 1 5/6 = 1 2/6
1 2/6 is your answer.
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Answer:
We estimate to have 8.33 times the number 6 in 50 trials.
Step-by-step explanation:
Let us consider a success to get a 6. In this case, note that the probability of having a 6 in one spin is 1/6. We can consider the number of 6's in 50 spins to be a binomial random variable. Then, let X to be the number of trials we get a 6 out of 50 trials. Then, we have the following model.

We will estimate the number of times that she spins a 6 as the expected value of this random variable.
Recall that if we have X as a binomial random variable of n trials with a probability of success of p, then it's expected value is np.
Then , in this case, with n=50 and p=1/6 we expect to have
number of times of having a 6, which is 8.33.