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kifflom [539]
2 years ago
13

if alpha and beta are zeros of the polynomial x² - 6 X + k find k such that (alpha+beta)²-2alha beta =40​

Mathematics
1 answer:
lidiya [134]2 years ago
8 0

Answer:

k = - 2

Step-by-step explanation:

Given α and β are the zeros of x² - 6x + k = 0 , with

a = 1, b = - 6 and c = k , then

α + β = - \frac{b}{a} = - \frac{-6}{1} = 6

αβ = \frac{c}{a} = \frac{k}{1} = k

Then solving

(α + β)² - 2αβ = 40

6² - 2k = 40

36 - 2k = 40 ( subtract 36 from both sides )

- 2k = 4 ( divide both sides by - 2 )

k = - 2

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Hello there!

(-1)^3 * (-1)^2

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3 years ago
An arithmetic sequence has t1 = 6 and common difference 2 find t12 and s12​
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Answer:

See below ~

Step-by-step explanation:

Finding t₁₂ :

⇒ t₁₂ = t₁ + 11d

⇒ t₁₂ = 6 + 11(2)

⇒ t₁₂ = 6 + 22

⇒ t₁₂ = 28

=============================================================

Finding S₁₂ :

⇒ S₁₂ = 12/2 × 2t₁ + (12 - 1)d

⇒ S₁₂ = 6 × 2(6) + 11(2)

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⇒ S₁₂ = 6 × 34

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1 year ago
Say that australia has a working population of 11,565,470 people, and that the average salary is $26,450 annually. how much tax
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The tax revenue Australia would generate each year is $96,054,697,991.

<h3>What is the percentage?</h3>

The percentage is the value per hundred.

Working population of Australia =  11,565,470 people

Annual average salary = $26,450

Income tax rate = 31.4%

Tax revenue generated by each resident = 26450*(31.4/100)

Tax revenue generated by each resident =$8305.3

So, Tax revenue generated by 11,565,470 residents =  11,565,470*8305.3

Tax revenue generated by 11,565,470 residents = $96,054,697,991

Therefore, the tax revenue Australia would generate each year is $96,054,697,991.

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