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
Her final score should be 21. You can add both 3 1/2 and 3 1/2 which will give you 7. Then substract it from 28.
Answer:
Find the coordinates of the point of intersection of the axis and the directrix of the parabola whose focus is (3,3) and directrix is 3x−4y=2. Find also the length of the latus-rectum.
Step-by-step explanation:
Answer:
12345824.4
Step-by-step explanation:
I'm not really sure. I just did 1240x637x15.63=12345824.4
Answer:
B) x = 5/2
Step-by-step explanation:
subtract 3 from each side to get:
4x² - 20x + 25 = 0
this is the difference of 2 squares:
(2x -5)² = 0
one solution, x = 5/2