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Slav-nsk [51]
2 years ago
14

Find the value of k so that (x + 3) a factor of H(x) = 3x ^ 3 - 2x ^ 2 + kx - 3

Mathematics
1 answer:
gavmur [86]2 years ago
4 0

Step-by-step explanation:

By Factor Theorem, (x + 3) is a factor of H(x) if and only if H(-3) = 0.

3(-3)³ - 2(-3)² + (-3)k - 3 = 0

-81 - 18 - 3k - 3 = 0

3k = -102

k = -34.

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Answer:

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Step-by-step explanation:

The line connecting the center with the end of the walkway is radius and is the hypotenuse of the right triangle.

Horizontal leg is the distance x.

<u>Vertical leg has the length:</u>

  • (250)/2 - 62 = 63 ft

<u>Using Pythagorean theorem to find the length of x:</u>

  • x² = (250/2)² - 63²
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  • x² = 11656
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3 years ago
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Darya [45]

Answer:

a) Who jogs faster?

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Step-by-step explanation:

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Your friend's will finish a 5km race at a speed of 18.18 km/hr

Your speed is :

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Convert 12 minutes to hours

60 minutes = 1 hour

12 minutes = x

x = 12/60

x = 1/5 hour

Your speed is calculated as:

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= 2 km ÷ 1/5 hour

= 2 × 5

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Your friend's speed is calculated as:

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Convert 16.5 minutes to hours

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16.5 minutes = x

x = 16.5/60

x = 0.275 hour

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