D. X = 10
6x-20= 40
6x=40+20
6x=60
X=10
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
Given: Shandra can do the complete work in 45 minutes.
So, Shandra's 1-minute work = 1 / 45 and
Kelly can do the same complete work in 1 hour and 15 minutes = 75 minutes.
So, Kelly's 1-minute work = 1 / 75
Now, we shall calculate Shandra's and Kelly's 1-minute work
By both 1 minute work = (1/45) + (1 / 75) = 8 / 225
∵ 8 /225 Parts can be completed by both = in 1 minute
∴ Complete work (1) can be completed by both = 225 / 8 minutes
or, = in 28 minutes and 7.5 second
Hence, the assumption taken by both was incorrect.
The best described time will be 28 minutes and 8 seconds.
0.35 as a fraction is 35 over 100. An equivalent to this is 7 over 20
