This equation is also equal to 3/4x - 2/3 + 5/6 + 2x since subtracting a negative is the same as adding a positive in the long run. First, simplify the variables to get 2 3/4x - 2/3 + 5/6. -2/3 is also equal to -4/6, so -4/6 + 5/6 is 1/6. The simplified version of this expression is 2 3/4x + 1/6. Hope this helps!
See attached picture.
Break the shape up into 4 different shapes and find the seperate areas then add them together.
Answer = C. 146
Answer:
See below.
Step-by-step explanation:
D(t) = 3260 - 55t
The function that shows their distance from home as a function of time shows that they started 3260 miles from home and are driving at 55 miles per hour.
part a:
D(12) = 3260 55(12)
D(12) = 3260 - 660
D(12) = 2600
Interpretation: After 12 hours of driving home, they are 2600 miles from home.
part b:
D(t) = 2490
3260 - 55t = 2490
-55t = -770
t = 14
Interpretation: When they are 2490 miles from home, they have driven for 14 hours.
