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DIA [1.3K]
2 years ago
10

Error Analysis: Kayla said the remainder of x^3+ 2x^2 -4x + 6 divided by

Mathematics
1 answer:
andrezito [222]2 years ago
5 0

9514 1404 393

Answer:

  C) No, Kayla is not correct, because the remainder is -49 not 149

Step-by-step explanation:

The remainder from division by x+5 can be found by evaluating the polynomial at x=-5, the value of x that makes the divisor zero.

Evaluation is often easier when the function is written in Horner form.

  ((x +2)x -4)x +6

For x=-5, this is ...

  ((-5 +2)(-5) -4)(-5) +6 = (-3(-5) -4)(-5) +6 = 11(-5) +6 = -49

Kayla is not correct; the remainder is -49.

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Answer:

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Step-by-step explanation:

a) Since order is not important, the total possible number of ways to choose 10 players out of 13 is the following combination:

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b) The total number of possibilities to assign positions by the selecting 10 players is the permutation of 13 players for 10 positions:

P(13,10) = \frac{13!}{(13-10)!}\\P(13,10) = 13*12*11*10*9*8*7*6*5*4\\P(13,10) =1,037,836,800

c) The number of ways to pick 10 players including at least one woman is equal to the total number of ways to pick 10 players (found in item a) minus the the number of ways to pick 10 players without picking a single woman.

Since there 10 male players for 10 positions, there is only one possible way to pick a team without women, therefore:

P=286-1 =285

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