Answer:
<h2>x = -4 and x = -3</h2>
Step-by-step explanation:
Look at the picture.
f(x) = g(x)
f(-4) = 4 and g(-4) = 4 → f(-4) = g(-4)
f(-3) = 8 and g(-3) = 8 → f(-3) = f(-3)
1. 6 feet long
2. The border increases the length of each side by 1 foot
3. The width of the border is 6 inches (0.5 feet) because it adds on 1 foot in length to each side. Splitting it between the 2 borders for each side would make it 6 inches.
Answer:
-17 ft/s
Step-by-step explanation:
The average rate of change is the difference in height on the interval, divided by the difference in time.
m = (h(4.5) -h(2))/(4.5 -2) . . . . . . . . definition of rate of change on [2, 4.5]
h(4.5) = (-16·4.5 +87)(4.5) = 67.5
h(2) = (-16·2 +87)(2) = 110
Then ...
m = (67.5 -110)/(2.5) = -17
The average rate of change on the interval from 2 to 4.5 seconds is -17 ft/s.
_____
<em>Check</em>
The slope of the curve is given by its derivative:
h'(t) = -32t +87
The midpoint of the interval is (2+4.5)/2 = 3.25.
The slope at the midpoint is ...
h'(3.25) = -32(3.25) +87 = -17 . . . . average rate of change on [2, 4.5]
For a quadratic function. the average rate of change on an interval is the slope of the function at the midpoint of the interval. This calculation confirms that.
Answer:
Explanation:
Answer:
4
Step-by-step explanation:
you have everything done right i dont see what you mean..?