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Hatshy [7]
3 years ago
8

Find (x+3) (x^2 - 2x -8). Write answer in standard form

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
8 0

Answer:

x3+x2-14x-24

Step-by-step explanation:

Alex Ar [27]3 years ago
8 0

Answer:

x³ + x² - 14x - 24

Step-by-step explanation:

(x + 3) (x² - 2x - 8) =

= x(x² - 2x - 8) + 3(x² - 2x - 8)

= x³ - 2x² - 8x + 3x² - 6x - 24

= x³ + x² - 14x - 24

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A hiker starting at point P on a straight road wants to reach a forest cabin that is 2 km from a point Q, 3 km down the road fro
pantera1 [17]

Answer:

2.19 km

Step-by-step explanation:

If x is the distance she walks down the road before turning, then the total time is:

t = x/8 + √((3 − x)² + 2²) / 3

t = x/8 + √(9 − 6x + x² + 4) / 3

24t = 3x + 8√(13 − 6x + x²)

24t = 3x + 8(13 − 6x + x²)^½

Take derivative of both sides with respect to x.

24 dt/dx = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

When t is a minimum, dt/dx = 0.

0 = 3 + 4(13 − 6x + x²)^-½ (-6 + 2x)

-3 = 4(13 − 6x + x²)^-½ (-6 + 2x)

3 / (6 − 2x) = 4(13 − 6x + x²)^-½

3 / (24 − 8x) = (13 − 6x + x²)^-½

(24 − 8x) / 3 = (13 − 6x + x²)^½

(24 − 8x)² / 9 = 13 − 6x + x²

576 − 384x + 64x² = 117 − 54x + 9x²

459 − 330x + 55x² = 0

Solve with quadratic formula.

x = [ 330 ± √((-330)² − 4(55)(459)) ] / 2(55)

x = (330 ± √7920) / 110

x = 2.19 or 3.81

Since 0 < x < 3, x = 2.19.

7 0
3 years ago
Frank needs to fill juice cups for his little sister's birthday party. There are 35 juice cups and each juice cup holds 12 fluid
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Frank will need 4 gallons of juice.

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He will have some juice cups left over.

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Step-by-step explanation:

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A
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Answer:

Answer Is A

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Step-by-step explanation:

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Step-by-step explanation:

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