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
Answer:
x=146 degrees
Step-by-step explanation:
A supplementary angle is the conrisponding angle that adds to the other angle so it is 180. So 180-34= 146
Answer:
-1
Step-by-step explanation:
Square root 1 is 1. Add that to the 12 to get 13. Subtract 13 from both sides to get: -5x = 5. Divide both sides by -5 to get your answer: -1
Answer:
y = 5
Step-by-step explanation:
1. This line is horizontal, because the y-coordinate never changes.
2. The equation for a horizontal line is y = (y-coordinate)
3. The y-coordinate is always 5, so the equation is y = 5.
