The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1 at x = – 3. The y-intercer

Mathematics

1 answer:

grigory [225]2 years ago

6 0

9514 1404 393

Answer:

P(x) = -1/2(x -3)²(x +3)

Step-by-step explanation:

When q is a root of the polynomial, (x-q) is a factor. This polynomial will be ...

P(x) = a(x -3)²(x +3)

For x=0, the y-intercept will be ...

P(0) = 27a = -13.5

Then the value of a is ...

a = -13.5/27 = -1/2

The formula for P(x) is ...

P(x) = -1/2(x -3)²(x +3) . . . . . . factored form

P(x) = -0.5x³ +1.5x² +4.5x -13.5 . . . . standard form

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Answer:

Probability: $\frac{1}{2}$ = 0.5 = 50%

Step-by-step explanation:

Based on the question one coin is chosen at random and tossed. That coin then lands and is heads. Since the coin landed on heads we can <u>eliminate the possibility</u> of the coin that was chosen being the coin with double tails.

The following possibilities are that the coin has double heads or is a regular coin with both tails and heads. Seeing as the coin landed on heads, there are only two possible out comes for the other side of the coin

The other side is either Heads or Tails. That gives us a 50% chance of the other side being tails.

$\frac{1}{2}$ = 0.5 = 50%

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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2 years ago

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Answer:

N=9/2

Step-by-step explanation:

Question: <u>10=2N+1</u>

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