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2 years ago

What is the remainder when 2x^3−9x^2+11 is divided by x−6?

Mathematics

1 answer:

zheka24 [161]2 years ago

8 0

Answer:

119

Step-by-step explanation:

Given f(x) divided by (x - h) then the value of f(h) is the remainder, thus

f(6) = 2(6)³ - 9(6)² + 11

= 2(216) - 9(36) + 11

= 432 - 324 + 11

= 119 ← remainder

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3 years ago

Is 24 ft greater than 324 inches

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2 years ago

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Alexus [3.1K]

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2 years ago

In a game of rolling a die. If the number showing is even, you win $3, if the number showing is 1 you win $3 and if the number s

IceJOKER [234]

Answer:

(a)

$\left|\begin{array}{c|c|c}---&---&---\\x&\$0&\$3\\---&---&---\\P(x)&\dfrac13&\dfrac23\\---&---&---\\\end{array}\right|$

(b)$2

Step-by-step explanation:

In the given game of rolling a die. these are the possible winnings.

If the number showing is even(2, 4, or 6) or 1, you win $3.
If the number showing is either 3 or 5 you win $0.

There are 6 sides in the die.

$P($obtaining a 1,2,4 or 6)=\dfrac46=\dfrac23\\P($obtaining a 3 or 5)=\dfrac26=\dfrac13$

(i)The probability distribution of x.

Let x be the amount won

Therefore:

Probability distribution of x.

$\left|\begin{array}{c|c|c}---&---&---\\x&\$0&\$3\\---&---&---\\P(x)&\dfrac13&\dfrac23\\---&---&---\\\end{array}\right|$

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2 years ago

This bar graph shows the number of hurricane in the Atlantic Basin from 2006-2011. Find the amount of change and the percent of

Arada [10]

Answer:

Step-by-step explanation:

Number of hurricanes in year 2008 = 8

Number of hurricanes in year 2009 = 3

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Percent of decrease in number of hurricanes = $\frac{5}{8}\times 100$ = 62.5%

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Percentage decrease in number of hurricanes = $\frac{5}{12}\times 100$ = 41.7%

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Percentage decrease in hurricanes were more in year 2008 - 09 than percentage decrease in year 2010 - 11.

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2 years ago