Answer:

Step-by-step explanation:
This is a hard one
We have to use the rational root theorem
= 0
We have to find all the factors of a and d and put them in a fraction

We then plug them into the equation to see if any of them work
The equation isn't true when plugging 1, but is true when plugging in 1/2
factored form of 1/2 is (2x-1)
Then we divide the original equation by (2x-1) (you can use synthetic division or long division, it would be hard to type out the process for that) to get 
So now the equation is 
Solve the second half of this equation using the quadratic formula to get
and 
We already know the solution for the first half of the equation (1/2)
So the final answers are:

This is a binomial experiment and you'll use the binomial probability distribution because:
- There are two choices for each birth. Either you get a girl or you get a boy. So there are two outcomes to each trial. This is where the "bi" comes from in "binomial" (bi means 2).
- Each birth is independent of any other birth. The probability of getting a girl is the same for each trial. In this case, the probability is p = 1/2 = 0.5 = 50%
- There are fixed number of trials. In this case, there are 5 births so n = 5 is the number of trials.
Since all of those conditions above are met, this means we have a binomial experiment.
Some textbooks may split up item #2 into two parts, but I chose to place them together since they are similar ideas.
Answer:
f(x) = x*3/4 + 42.5
Step-by-step explanation:
The original difference between the pair is 70 - 30 = 40
The new difference between the pair is 95 - 65 = 30
Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4
Then 30 * 3/4 = 22.5
Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95
Therefore, f(x) = x*3/4 + 42.5. We can test that
f(30) = 30*3/4 + 42.5 = 65
f(70) = 70*3/4 + 42.5 = 95
Answer:
The answer is 2. 2 is the only number that can't change. There is no x or ^.
Answer:
n=-6
Step-by-step explanation:
2(n+5)=-2
distribute
2(n+5)
2xn 2x5
2n+10
2n+10=-2
subtract 10 from both sides
10-10=0
-2-10=-12
2n=-12
divide each side by 2
2n/2=n
-12/2=-6
n=-6