<span>The number of ways to permute three correct answers among five questions is 5Choose3 which is 5!/(3!*2!) which equals 10.
We must then have the correct answer three times which happens .25 of the time, and two wrong answers 75 of the time.
So the probability is 10*0.25^3*.75^2 which is 0.087890625 or roughly an 8.8% chance.</span>
Answer:
4) add 5x and 9x
answer: 14x - 30
7) subtract 28 from 15
answer: x - 13
Step-by-step explanation: sorry if it is wrong I try my best
Answer:
1800 dollars
Step-by-step explanation:
We can set up an equation here to represent the exponential growth in Terry's bank account.

We can plug in 3 for x since x is the # of years the account is receiving compound interest on.


Not really sure whats up with that inequality but she can't, if she has to spend 1.5 hours in a lab that leaves her with 5 hours. 5/4 is 1.25, so no, she can only spend 1.25 hours with each student.
Answer:
The required factors are: x, (x + 6) and (x - 3).
Step-by-step explanation:
As per the question,
The given polynomial is:

Now,
BY factorization, we get


By splitting the mid-term, that is split 3x like:
3x = 6x - 3x
Therefore,

Now on further solving by taking common factor out, we get
![=x[x(x+6)-3(x+6)]](https://tex.z-dn.net/?f=%3Dx%5Bx%28x%2B6%29-3%28x%2B6%29%5D)

Therefore, the given second polynomial (x - 4), is not a factor of given polynomial
.
Hence, the given polynomial has three factor x, (x + 6) and (x - 3).