Given,
The expression is:

By using the middle term splitting method,

Hence, the factor is (x-(7+sqrt(33)/4)) (x+(7+sqrt(33)/4)).
Answer:
1/6
Step-by-step explanation:
The number of ways they can line up is 3×2×1 = 6. Only one of these is alphabetical order. The probability that they will line up randomly in alphabetical order is 1/6.
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Any of the three can line up first; either of the remaining two can line up second, and the remaining person can line up last. Thus there are 3×2×1 possible orders.
Answer:
$9$
Step-by-step explanation:
Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.
To find: number that Thea originally entered
Solution:
The final number is $243$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $243$ must be $324$.
As previously the number was squared, so the number before $324$ must be $18$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $18$ must be $81$
As previously the number was squared, so the number before $81$ must be $9$.
Answer:
de fk?
Step-by-step explanation:
wth is that
Answer:
The answer is 8/5 or 8 out of 5.
Step-by-step explanation:
In order to solve this you need to first add the number of envelopes together to get the sum of how many envelopes there are, 1 + 3 + 2 + 2 = 8. Next you add the amount of blue and green envelopes together 3 + 2 = 5. The total number of envelopes is 8, and 5 out of the 8 are green or blue, therefore you will have a 8 out of 5 chance of picking one of those colors.