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Aliun [14]
3 years ago
11

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!

Mathematics
2 answers:
astraxan [27]3 years ago
4 0

Answer:

The answer is C.

Step-by-step explanation:

Recall that as consequence of the Fundamental Theorem of Algebra, a polynomial of n-th degree has n complex roots (some roots, or all of them, can be real).

Now, as we have a polynomial of degree 5, it has 5 roots. From the statement we know that its graph has three intercepts with the X-axis, which is equivalent to the existence, at least, of three real roots. Moreover, we know that the multiplicity of each root is one. Then, we have exactly three real roots.

The above deduction means that there are other two roots, and those must be complex.

aleksandr82 [10.1K]3 years ago
3 0

Answer: C

<u>Step-by-step explanation:</u>

Degree of 5 means there are 5 roots.

If 3 roots are real, then there are 2 remaining - which must be imaginary.

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Eight rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other ro
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Answer:

9.11*10^-4 %

Step-by-step explanation:

To find the probability, you simply need to find the possible outcomes that allows no rooks to be in danger, and the possible amount of ways to place the rooks.

For the first outcome, you start by putting 1 rook in the first columns, you have 8 possible rows to do this. The next rook in the next column will only have 7 possible rows, as you have to exclude the one where the previous rook is located. The next rook, 6 possibilities, the next 5, and so on. So we conclude that the total amount of ways so that none of the rooks can capture any of the other rooks is 8*7*6*5*4*3*2*1 = 8! = 40320

In order to find the total amount of ways to place the rooks, you can just use a combinatoric:

\left[\begin{array}{ccc}64\\8\end{array}\right]= \frac{64!}{8!(64-8)!} = 4.43*10^9

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3 years ago
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Answer:

The flight was 137.45 miles farther than the direct path.

(make slight changes if directions were given on how to round. This is to the nearest hundredth)

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The third side is the direct path of the airplane. We'll add the two other given sides to find the detour route that they took instead.

Then subtract the smaller number (direct route) from the actual route. See image.

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