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3 years ago

For f(x)=-2x^3-4x^2+3x-8 , use the remainder theorem to determine f(-1).

Mathematics

2 answers:

konstantin123 [22]3 years ago

6 0

Answer:

- 13

Step-by-step explanation:

Substitute x = - 1 into f(x) to obtain the remainder on dividing by (x + 1)

f(- 1) = - 2(- 1)³ - 4(- 1)² + 3(- 1) - 8

= 2 - 4 - 3 - 8 = - 13

Thus the remainder on dividing f(x) by (x + 1) is - 13

yawa3891 [41]3 years ago

6 0

Hello

- 13

Explanation step by step:

x = - 1

f (x) = remainder to be divided by (x + 1)

f (- 1) = - 2 (- 1) ³ - 4 (- 1) ² + 3 (- 1) - 8

= 2 - 4 - 3 - 8 = - 13

The rest of the division of f (x) / (x + 1) = -13

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mihalych1998 [28]

Answer:

0.1333 = 13.33% probability that bridge B was used.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Arrives home by 6 pm

Event B: Bridge B used.

Probability of arriving home by 6 pm:

75% of 1/3(Bridge A)

60% of 1/6(Bridge B)

80% of 1/2(Bridge C)

$P(A) = 0.75*\frac{1}{3} + 0.6*\frac{1}{6} + 0.8*\frac{1}{2} = 0.75$

Probability of arriving home by 6 pm using Bridge B:

60% of 1/6. So

$P(A \cap B) = 0.6*\frac{1}{6} = 0.1$

Find the probability that bridge B was used.

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.75} = 0.1333$

0.1333 = 13.33% probability that bridge B was used.

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2 years ago

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Fynjy0 [20]

Answer:

Step-by-step explanation:

Your answer would be B., because you would multiply

2.14 x 22.4 =

47.939

then you will subtract that by 42.9

47.939 - 42.9 =

5.026

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Step-by-step explanation:

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Step-by-step explanation:

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