Answer:
-5/24
Step-by-step explanation:
You first change -7/12 to -14/24, and 3/8 to 9/24 so they have the same denominator. You then do -14/24 + 9/24. That will be the same as the opposite of the answer to 14/24 - 9/24.
14/24 - 9/24 = 5/24
-5/24
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.
1 2/5 pounds multiplied by 5 baskets is 7 pounds of berries. 7 pounds subtract 2 1/4 pounds is 4 3/4 pounds. Her estimation is reasonable because 4 3/4 pounds is about 5 pounds.
He can make
526
562
265
256
652
625
-3(2b-2a)
multiply -3 with 2b and -2a
-6b+6a
ANSWER: -6b+2a