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olya-2409 [2.1K]
3 years ago
15

Rewrite the following equation in standard form and determine if there is a solution.

Mathematics
1 answer:
Debora [2.8K]3 years ago
5 0

Answer:

| x + 4 |  = -1    No solution

Step-by-step explanation:

                                                 3 | x + 4 | + 12 = 9

Subtract 12 from both sides:         3 | x + 4 |  = -3

Divide both sides by 3:                     | x + 4 |  = -1

Absolute value cannot be negative, so there is no solution.

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Every complex number in the form a+bi is composed of which two parts?
Artemon [7]
Complex numbers are written in the generic way:
 a + bi
 The complex numbers are composed of the following parts:
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3 years ago
If you roll two four-sided dice (numbered 1, 2, 3, and 4), what is the probability that the sum of the dice is 3?
Elan Coil [88]

Answer:

The probability that the sum of the dice is 3, is 3/16.

Step-by-step explanation:

It is given that two four-sided dice are rolled.

Total number of sides of each dice = 4

Possible values for each dice = 1,2,3,4

If two four-sided dice are rolled, then the total possible outcomes are

A=\{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),\\(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)\}

Total number of possible outcomes = 16

The sum of the dice is 3.

\text{Favorable outcomes}=\{(1,1),(1,2),(2,1)\}

Total number of favorable outcomes = 3

The probability that the sum of the dice is 3.

Probabilty=\frac{3}{16}

Therefore the probability that the sum of the dice is 3, is 3/16.

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4 years ago
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