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<span>-0.411764706 - 1.35294118 i</span>
Answer:
x = - 2, x = 6
Step-by-step explanation:
Given f(x) = 18 we require to solve
3 | x - 2 | + 6 = 18 ( subtract 6 from both sides )
3 | x - 2 | = 12 ( divide both sides by 3 )
| x - 2 | = 4
The absolute value function always returns a positive value, however, the expression inside can be positive or negative, thus
x - 2 = 4 ( add 2 to both sides )
x = 6
OR
- (x - 2) = 4
- x + 2 = 4 ( subtract 2 from both sides )
- x = 2 ( multiply both sides by - 1 )
x = - 2
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
x = 6 → 3|6 - 2| + 6 = 3|4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True
x = - 2 → 3|- 2 - 2| + 6 = 3|-4| + 6 = 3(4) + 6 = 12 + 6 = 18 ← True
Hence solutions are x = - 2, x = 6
30.2 is correct according to PEMDAS
Answer:
520 cubic centimeters (cm^3)
Step-by-step explanation:
volume = length * width * height
length = 13
width = 5
height = 4 + 4, so height = 8
volume = (13) * (5) * (8)
volume = 520 units
Since the given measurements are in centimeters and the answer is the volume of the prism, the answer must be in cubic centimeters
So, the final answer is 520 cubic centimeters (cm^3)
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