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3 years ago

Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros 2+i, 2

1 answer:

8 0

<span>x^3 - 6x^2 + 13x - 10 We have been given the roots 2+i and 2, so two of the factors in the desired polynomial is (x - 2) = 0 (x - 2 -i ) = 0 Let's create a third root by negating the sign of the imaginary component to create the complex conjugate of the known complex root. (x - 2 + i) = 0 Now multiple (x - 2 - i) and (x - 2 + i) (x - 2 - i) (x - 2 + i) x^2 - 2x - xi -2x +4 +2i xi -2i - (-1) x^2 -4x +4 + 1 x^2 -4x + 5 And we've cancelled the imaginary term. Let's multiply this quadratic equation by the remaining factor. x^2 -4x + 5 x - 2 x^3 - 4x^2 + 5x -2x^2 +8x -10 = x^3 -6x^2 + 13x - 10 So the desired polynomial is x^3 - 6x^2 + 13x - 10</span>

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4 years ago

Students at an agricultural station conducted a study to compare geneticallymodified (GM) corn with regular corn. Each of 33 plo

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Answer:

Step-by-step explanation:

The given data is represented in the attachment.

a) Explain why yields from one type of corn are not independent of the yields from the other type of corn.

Yields from one type of corn are not independent of the yields from the other type of corn because, as the corns are planted in two similar plots, they could compete during watering process, even the amount of nutrients shared and the type of air. This means one corn may get more nutrients than the other. Therefore, they are not independent (they are dependent).

b) Based on the summary statistics, GM is expected to more likely obtain yield greater than 123, because 123 is greater than mean for regular corn but less than mean for GM corn.

Thus,

P(yield>123|GM)>0.5; and P(yield>123|Regular)<0.5

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4 years ago

Machine A prints 16 pages more than Machine B in every minute. Machine A and Machine B print a total of 608 pages in 4 minutes.

sweet [91]

1) So the ratio of Machine A to B is x + 16 : x (x being the paper printed in machine b).

2) This is in 4 minutes so every minute it will be 152.

2) So x + 16 + x = 152, or 2x + 16 = 152.

3) So to find x, we can subtract 16 from both sides. 2x = 136

4) Now we just divide both sides by 2 to get x = 68.

5) So machine A will be 68 + 16 = 84.

= 84

⭐ Answered by Foxzy0⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

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3 years ago

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Answer:

Step-by-step explanation:

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