9514 1404 393
Answer:
Step-by-step explanation:
You have to realize that the absolute value function will change the sign of its argument only if that argument is negative.
108. |x -7| = x -7 . . . . . true for x-7≥0
x ≥ 7 . . . . makes the statement true
__
1a. When m < 9, the value 6m is less than 54, so 6m-54 < 0. That means the absolute value function changes the sign of its argument:
54 -6m . . . . . simplified form for m < 9
__
1b. |y -x| = y -x . . . when y > x, the argument of the absolute value is positive
Answer:
The total cost of the petrol is 2.075 cents.
Step-by-step explanation:
The cost of per gallon petrol = 0.83
Drive per gallon = 8 miles
Here, total distance traveled = 20 miles.
So, the total petrol used for 20 miles = (20 / 8) gallons
= 2.5 gallons
Now, cost of petrol per gallon = 0.83 cents
So, total cost of petrol = 0.83 x 2.5 = 2.075 cents
Hence, the total cost of the petrol is 2.075 cents.
8x + 2 > 34
Subtract 2 from both sides to start isolating x
8x > 32
Divide both sides by 8 to isolate x
x > 4
x is greater than 4
