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:
y=4.5
Step-by-step explanation:
2y+3=11
2y=11-3
2y=9
y= 4.5
The answer is 
Let's build the expression piece by piece, translating sentences into formulas:
"3/5 times..." 
"5 less than a number..." 
So, the first block becomes
"3/5 times 5 less than a number..." 
"...is no more than 27" 
So, putting the pieces together, you have the answer
Answer:
mean=21.7
median=23
mode=12
Step-by-step explanation:
Mean=37+12+32+23+12+40+11+12+10+23+27/11
=21.7(3 s.f)
Median: 10,11,12,12,12,23,23,27,32,37,40
Median=23
Mode=12