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Archy [21]
3 years ago
9

Solve for x: −3|2x + 6| = −12 (1 point)

Mathematics
1 answer:
nekit [7.7K]3 years ago
5 0

Option 2

The solution for - 3 | 2x + 6 | = - 12  is x = −1 and x = −5

<u>Solution:</u>

Given, equation is -3 | 2x + 6 | = - 12

We have to solve for the value of x and choose the correct options from given set of options.

Now, let us take the equation  

- 3 | 2x + 6 | = - 12

3 | 2x + 6 | = 12

| 2x + 6 | = 4

2x + 6 = ± 4 [ since mod converts to ± by shifting to other side of the equation]

2x + 6 = 4 or 2x + 6 = -4

2x = 4 – 6 or 2x = - 4 – 6

2x = -2 or 2x = - 10

x = -1 or x = -5

Hence, values of x are -1 and -5, so option 2 is correct

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Answer:

The answers are \frac{2}{5}, \frac{1}{4}, \frac{1}{10}, \frac{5}{2}, \frac{5}{8}, \frac{4}{1}, \frac{8}{5}, and \frac{10}{1}.

Step-by-step explanation:

Proportions are fractions that can be made by using the given numbers, which in this case are 2, 5, 8, and 20. Let's pair each one with the other three and then simplify if possible.

First, let's begin with 2:

\frac{2}{5} = \frac{2}{5}

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Then, let's do 5:

\frac{5}{2} = \frac{5}{2}

\frac{5}{8} = \frac{5}{8}

\frac{5}{20} = \frac{1}{4}

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Now, let us do 8:

\frac{8}{2} = \frac{4}{1}

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Finally, let's do 20:

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Now see that we already have both \frac{4}{1} and \frac{5}{2}, so we won't have to include both of them, as they are both extras.

Hence, the answers are \frac{2}{5}, \frac{1}{4}, \frac{1}{10}, \frac{5}{2}, \frac{5}{8}, \frac{4}{1}, \frac{8}{5}, and \frac{10}{1}.

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