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
Answer:12.5
Step-by-step explanation:
<h2>
Answer:</h2>
-1/3x
<h2>
Step-by-step explanation:</h2><h3>Known :</h3>
- x1 = -3
- x2 = 0
- y1 = 1
- y2 = 0
<h3>Asked :</h3>
<h3>Solution :</h3>
We can find the straight line equation using this formula,
Insert all we know inside the formula,
Use cross multiplication,
3(y - 1) = -1(x + 3)\
3y - 3 = -x - 3
3y = -x - 3 + 3
3y = -x
y = -1/3x
<h3>Conclusion :</h3>
The correct equation is y = -1/3x
