B) Is the correct answer
We know it's B because it's a one off cost and isn't effected by x ( the amount of songs purchased )
From factoring, the volume of a rectangular prism can be written as:
3x * (2x+1) * (3x-2).
<h3>Factoring</h3>
In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.
The question gives: 18x³-3x²-6x. You can see that, initially, 3x is a common term. Therefore, you can write: 3x * (6x²-x-6) . Nonetheless, the question also asks 3 linear expressions, here only you have one (3x).
Thus, you should factor the expression (6x²-x-6) into two linear expressions: (2x+1)* ( 3x-2).
Thus, the volume of a rectangular prism can be written as:
3x * (2x+1) * (3x-2)
Learn more about the factoring here:
brainly.com/question/11579257
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You divide both numbers by their largest common factor, which is 5 in this case.
15(/5):5(/5)
3:1
Answer:
90
Step-by-step explanation:
A group of 10 people is choose a chairperson and vice-chairperson. They put all 10 peoples names into a bar. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and Vice-chair are there ?
This is calculated using the Permutation formula
nPr = n!/(n - r)!
Where:
n = 10 people
r = 2 = 2 positions to be filled , Chairman and Vice chairman
Hence:
10P2 = 10!/(10 - 2)!
= 90 ways
