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Alexus [3.1K]
3 years ago
7

Solve. | 3x + 1 | = 2

Mathematics
2 answers:
qwelly [4]3 years ago
8 0
Since this is an absolute value equation, it will have two answers. For the first answer, take away the absolute value bars and solve 3x + 1 = 2. Subtract 1 from both sides to get 3x = 1 and divide each side by 3 to get x = 1/3. Now onto the second solution. This time, take away the absolute value bars and make the other side of the equation, the 2, negative, to get 3x + 1 = -2. Now solve this by subtracting 1 from each side to get 3x = -3 and divide each side to get the other answer which is x = -1. The answer is x = -1 or 1/3, hope this helps!
Snezhnost [94]3 years ago
3 0
Hey there!

The absolute value makes negative numbers positive. If they are already positive, then leave it. So it would be 3x+1=2. You need to isolate x. So subtract one from each side to get 3x=1. Divide each side by 3. You get x=1/3. Since x is by itself, you have the answer of x=1/3.

I hope this helps!
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Oregon State University is interested in determining the average amount of paper, in sheets, that is recycled each month. In pre
Juliette [100K]

Answer:

The test statistic is t = 2.79

Step-by-step explanation:

From the question we are told that

    The population mean is \mu   = 59.3

    The sample size is  n  =  79

    The  sample mean is  \= x  = 62.4

    The  standard deviation is  \sigma  =  9.86

Generally the test statistics is mathematically represented as

            t =  \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }

substituting values

          t =  \frac{ 62.2 -  59.3 }{ \frac{  9.86}{ \sqrt{ 79} } }

          t = 2.79

4 0
4 years ago
Given the following definitions: U = {1, 2, 3, 4, 5, 6, 7} A = {1, 2, 4, 5} B = {1, 3, 5, 7} How many elements are in A' ∪ B ?
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Step-by-step explanation:

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3 years ago
Given the function f(x) = 2x, find the value of f−1(32). (1 point) f−1(32) = 0 f−1(32) = 1 f−1(32) = 5 f−1(32) = 16
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The value of the inverse function at x = 32 will be 16. Then the correct option is D.

<h3>What is a function?</h3>

A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

f(x) = 2x

Then the inverse function of the f(x) will be

2f⁻¹(x) = x

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Then the value of the inverse function at x = 32 will be

f⁻¹(32) = 32 / 2

 f⁻¹(x) = 16

Then the correct option is D.

More about the function link is given below.

brainly.com/question/5245372

#SPJ1

3 0
3 years ago
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