The average rate of change of <em>g(x)</em> over the interval [2, 8] is given by
(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2)
In other words, it's the slope of the line through the points (2, <em>g</em> (2)) and (8, <em>g</em> (8)).
Use the definition of the function to evaluate it at the points in the numerator:
• 8 ≥ 4, so using the second piece, <em>g</em> (8) = -0.5(8) + 8 = 4
• 2 < 4, so <em>g</em> (2) = 5(2) + 1 = 11
Then the average rate of change is
(<em>g</em> (8) - <em>g</em> (2)) / (8 - 2) = (4 - 11) / 6 = -7/6
1:2=3:6
the missing number is 6
:)
so you have your two equations 3x+7=5x-23 and solve for x which is your "number" leaving the answer to be <u>x=15</u>
Answer:
d) 35ft
e) 6 seconds
f) 250°
Step-by-step explanation:
If it makes one rotation (360°) in 36 seconds, then it turns 10° every second.
36 secs = 360°
⇒ 1 sec = 360/36 = 10°
d) After 9 seconds, it has turned:
9 x 10 = 90°
Therefore, it will be 15 + 20 = 35ft from the wall
e) 60° = 6 seconds
f) 25 seconds = 25 x 10 = 250°
