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jek_recluse [69]
2 years ago
14

Write the quadratic equation that has roots (-1-√2)/3 and (-1+√2)/3 , if it's coefficient with x^2 is equal to

Mathematics
1 answer:
MArishka [77]2 years ago
3 0

9514 1404 393

Answer:

  (a) x² +2/3x -1/9 = 0

  (b) 9x² +6x -1 = 0

Step-by-step explanation:

The product of quadratic factors can be expanded to give ...

  (x -p)(x -q) = x² -(p+q)x +pq

Then the coefficients of x² +bx +c = 0 will be ...

  b = -((-1-√2)/3 +(-1+√2)/3)) = 2/3

  c = ((-1-√2)/3)·((-1+√2)/3) = (-1/3)² -(√2/3)²) = 1/9 -2/9 = -1/9

a) The quadratic with leading coefficient 1 is ...

  x² +2/3x -1/9 = 0

__

b) Multiplying that by 9 gives ...

  9x² +6x -1 = 0

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Answer: They can order from 0 to 449 bars, but no more.

Step-by-step explanation:

Given: The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20.00 for shipping regardless of the size of the order. The band must spend less than $200.00 on bars for the fundraiser.

The inequality below relates x, the number of bars that could be ordered, with the shipping costs and their spending requirements.

0.40x+20

To solve for x,  subtract 20 on both sides, we get

0.40x

Divide 0.40 on both sides, we get

x......... → the number of  bars that could be ordered, with the shipping costs and their spending requirements must less than 450.

Thus, they can order from 0 to 449 bars, but no more.

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Sarah used 2.5 cups of cheese in a dish that serves 10 people. Amy used 1.6 cups of cheese in a dish that serves 8 people. Who h
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Answer:

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Step-by-step explanation:

Find their amounts of cheese per serving by dividing the cups of cheese by the number of people:

Sarah:

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Amy:

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Answer:

See below.

Step-by-step explanation:

So, we have:

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This is the most we can do.

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Continue from where we left off. Factor the entire expression:

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