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Butoxors [25]
3 years ago
5

What are the possible numbers of positive, negative, and complex zeros of f(x) = x6 − x5 − x4 + 4x3 − 12x2 + 12?

Mathematics
2 answers:
FrozenT [24]3 years ago
3 0
Using <span>Descartes' rule of signs.
There are 4 changes of signs of coefficients:
+ to - (+x^6-x^5)
- to + (-x^4+4x^3)
+ to - (+4x^3-12x^2)
- to + (-12x^2+12)
Therefore, there are 4,2 or 0 positive roots </span><span><span>at most</span>. So it must be the third answer.
</span>
Akimi4 [234]3 years ago
3 0

Third option

Positive:4, 2, or 0; Negative: 2 or 0; Complex: 6, 4, 2, or 0

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Kurt has a collection of 155 United States and Canadian stamps. He has 1.5 times as many United States stamps as Canadian stamps
stealth61 [152]

Kurt has 93 United States stamps in his collection

Step-by-step explanation:

The given is:

  • Kurt has a collection of 155 United States and Canadian stamps
  • He has 1.5 times as many United States stamps as Canadian stamps

We need to find how many United  States stamps Kurt has in his collection

Assume that kart has x Canadian stamps

∵ kart has x Canadian stamps

∵ He has 1.5 times as many United States stamps as Canadian stamps

- That means the number of United States stamps is 1.5 times

   the number of the Canadian stamps

∴ The number of the United States stamps = 1.5 x

∵ Kurt has a collection of 155 United States and Canadian stamps

- Add the two numbers of stamps and equate the answer by 155

∴ x + 1.5 x = 155

- Add like terms

∴ 2.5 x = 155

- Divide both sides by 2.5

∴ x = 62

∵ The number of United States stamps = 1.5 x

∴ The number of United States stamps = 1.5(62)

∴ The number of United States stamps = 93 stamps

Kurt has 93 United States stamps in his collection

Learn more:

You can earn more about the simple equation in brainly.com/question/11306893

#LearnwithBrainly

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