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
This is a proportion problem. Start by doing:
2/3 = x/52.20
Multiply both sides by 52.20
X= 34.8 this is how much the son paid
Now add 34.8 + 52.20
Answer is 87
0.05x+0.12 (19660-x)=2060
Solve for x
X=4274.29 at 5%
19,660−4,274.29
=15,385.71 at 12%
Answer: Choice B
"ice cream at -3 degrees C is cooler than ice cream at 1 degree C"
-3 is smaller than 1
-3 < 1
Keep the order the same even though 1 > -3 is also possible, but fortunately this isn't listed.
<span>379 times 8 is 3032. This result, 3032 is between 3031 and 3033, so the answer is that the exact product of 379 and 8 is between 3031 and 3033.</span>
