Answer:
y = | x + 2 | graph is going to the left and y = | x | + 2 is going up
Step-by-step explanation:
They are the same because both will have the same shape. However, they differ because y = |x| + 2 will shift two places up and y = | x + 2 | will shift two places to the left
Part A: The s-intercept is (0,6). The s-intercept represents the amount of shirts sold in the hundreds. There t-intercept in this problem. And Since there is no t-intercept, t represents the year of 2000
Part B: How the graph reacts is as it starts, it starts out as a steady, strait line. Then when it hits (-4,5) it start to incline slightly. What it means is it is doing really well.
Part C: The average rate of change is 0.333333 over a distance of 6.32456.
Part D: The graphs would differ greatly, because f(t) inclines slowly where g(t) would be way steeper and be vertical way before f(t)
Answer:
1) 1.8
2) 1.7
Step-by-step explanation:
(for part A)
Mean: 3 + 5 + 6 + 3 + 2 + 2 + 1 + 0 + 0 + 4 + 7 + 4 + 5 + 5 + 6 = 53/15 = 3.5
3.5 - 3 = 0.5
3.5 - 5 = 1.5
3.5 - 6 = 2.5
3.5 - 3 = 0.5
3.5 - 2 = 1.5
3.5 - 2 = 1.5
3.5 - 1 = 2.5
3.5 - 0 = 3.5
3.5 - 0 = 3.5
3.5 - 4 = 0.5
3.5 - 7 = 3.5
3.5 - 4 = 0.5
3.5 - 5 = 1.5
3.5 - 5 = 1.5
3.5 - 6 = 2.5
mean absolute deviation: 0.5 + 1.5 + 2.5 + 0.5 + 1.5 + 1.5 + 2.5 + 3.5 + 3.5 + 0.5 + 3.5 + 0.5 + 1.5 + 1.5 + 2.5 = 27.5/15 = 1.8
(part B)
Mean: -3 + -2 + -1 + 0 + 1 + 2 + 3 = 0/7 = 0
0 - (-3) = 3
0 - (-2) = 2
0 - (-1) = 1
0 - 0 = 0
0 - 1 = 1
0 - 2 = 2
0 - 3 = 3
mean absolute deviation: 3 + 2 + 1 + 0 + 1 + 2 + 3 = 12/7 = 1.7
Answer:
3.5 hours
Step-by-step explanation:
Given: Distance= 26.2 miles
Speed= 12 km/h
First lets convert the unit of speed from kmh to mph.
Remember, 1 mile= 1.609 km
∴ For speed of 12 km/h= 
Speed= 7.45 mph
Next, find time taken by Allan to complete a Marathon.
⇒ Time= 
∴ Time= 3.516 hours ≅ 3.5 h (nearest tenth)
∴ Allan took 3.5 hours to complete marathon.
