The multiplication of the expression (x² + 3x + 2) (2x² + 3x + 1) is 2x⁴ + 9x³ + 14x² + 9x + 2
<h3>Multiplication</h3>
(x² + 3x + 2) (2x² + 3x + 1)
= 2x⁴ + 3x³ + x² + 6x³ + 9x² + 3x + 4x² + 6x + 2
= 2x⁴ + 3x³ + 6x³ + x² + 9x² + 4x² + 3x + 6x + 2
= 2x⁴ + 9x³ + 14x² + 9x + 2
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Answer:
A. Adjacent
Step-by-step explanation:
Probabilities are used to determine the chances of an event
The probability of event B is 0.62
The probabilities are given as:



To calculate the probability of event B, we make use of the following formula

So, we have:

Collect like terms


Hence, the probability of event B is 0.62
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Principal, P= 4000
interest = 6%/4 = 0.015 (per quarter)
Number of periods, n = 5*4 =20 quarters
Compound interest formula:
Future value:



to the nearest cent.
Answer:
a) Suppose that F is ordered in ascending order:
. Then, the complement of F can be written as

which is the union of a finite number of open intervals, then
is an open set. Thus, F is a closed subset of the real numbers.
b) Take an arbitrary element of F, let us say
. Now, choose a real number
such that
there are not other element of F, because
is less that the minimum distance between
and its neighbors.
In case that
we only consider
, and if
we only consider
.
Then, all points of F are isolated.
Step-by-step explanation: