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insens350 [35]
2 years ago
12

Question 1 Find the Mean of the following set of data values. 46, 57, 68, 63, 49, 52, 61, 68

Mathematics
1 answer:
Zielflug [23.3K]2 years ago
3 0
The mean would be 58!! Basically what you’re doing to get the mean is adding all of the numbers together and dividing by how many you’re adding. In this case, you would add all of the numbers and divide by 8 because you have 8 numbers ! :D
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Given g(x)=|-3x+16|, if g(x)=18, find x.
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Answer:

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Step-by-step explanation:

The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is

- 3x + 16 = 18 or -(- 3x + 16) = 18

Solving

- 3x + 16 = 18 ( subtract 16 from both sides )

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or

-(- 3x + 16) = 18

3x - 16 = 18 ( add 16 to both sides )

3x = 34 ( divide both sides by 3 )

x = \frac{34}{4}

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

| - 3(- \frac{2}{3} ) + 16 | = | 2 + 16 | = | 18 | = 18 ← True

| - 3(\frac{34}{3} ) + 16 | = | - 34 + 16 | = | - 18 | = 18 ← True

Thus x = - \frac{2}{3} and x = \frac{34}{3} are the solutions

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