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adoni [48]
2 years ago
5

What is limit of (x cubed 3 x squared 4 x minus 12) as x approaches negative 3? –78 –24 30 54

Mathematics
1 answer:
Sergio039 [100]2 years ago
7 0

The limit of the expression as x approaches -3 is -24

<h3>How to determine the limit of the expression?</h3>

The expression is given as:

x^3 + 3x^2 + 4x - 12

As x approaches -3.

The limit expression becomes

\lim_{x \to -3} x^3 + 3x^2 + 4x - 12

Substitute -3 for x in the expression

\lim_{x \to -3} (-3)^3 + 3(-3)^2 - 4*3 - 12

Evaluate the expression

\lim_{x \to -3} -24

Hence, the limit of the expression as x approaches -3 is -24

Read more about limit expressions at:

brainly.com/question/16176002

#SPJ4

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3 years ago
What is the quotient (x^3-3x^2+3x-2) ÷ (x^2-x+1)​
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Answer:

x-2

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x3−3x2+3x−2/x2−x+1

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x3−3x2+3x−2/x2−x+1

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(x−2)(x2−x+1)/x2−x+1

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Congratulations! You won a free grill in a sweepstakes! You know that you can fit a rectangular grill in your truck that has a w
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8 0
2 years ago
A box has 11 marbles, 3 of which are white and 8 of which are red. A sample of 4 marbles are selected randomly from the box with
aliina [53]

14/99

Select 1 marble; the chance that it is white is 4/12. Select a 2nd marble; the chance that it is white is 3/11. Select a 3rd; the chance it is white is 2/10. Select a 4th; the chance it is red is 8/9. Select a 5th; the chance it is red is 7/8. The chance of getting this specific set of 5 marbles in this order is (4/12)×(3/11)×(2/10)×(8/9)×(7/8)=(2×7)/(11×10×9).

This specific set could occur in the permutation of 5 things taken 5 at a time where 3 are identical (white), and the other 2 are also identical (red). The formula for this is 5!/(3!2!)=10.

Combining the chance of getting white, white, white, red, red with the number of ways 3 white and 2 red could have been distributed in the draw of 5 marbles gives the answer:

{(2×7)/(11×10×9)}×10=14/99

A similar process will show that the chance of getting 5 red marbles is 7/99; 4 white and 1 red is 1/99; 2 white and 3 red is 42/99; and 1 white and 4 red is 35/99.

6 0
2 years ago
1. What's 7/8 as a decimal?
denpristay [2]

Answer:

0.875

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7/8 as a decimal is 0.875. Another was of thinking of this is the number '7' is 87.5 percent of the number '8.

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