The fare of $(20 - 2.5) = $17.5 will maximize the total fare.
<h3>What is Differentiation?</h3>
Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.
Here, The operator for a round-trip fare of $20, carries an average of 500 people per day.
It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.
for $x increase in fare, 20x less people will take the trip and at that time the total fare F is given by
f(x) =(20 + x)(500 - 20x)
f (x) = 10000 + 100x - 20x²
For f(x) to be maximum, the condition is dy/dx = 0
100 - 40x = 0
⇒ x = 2.5
Thus, the fare of $(20 - 2.5) = $17.5 will maximize the total fare.
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Number of pallets moved in 4.5 hours = 108
converting 4.5 hours in minutes we get,
4*60 + 0.5*60 = 240+30 = 270 minutes
So, 108 pallets were moved in = 270 minutes
1 pallet was moved in = 
minutes
As the tie will get over in 2 hours or 2*60 = 120 minutes, the number of pallets that can be moved will be = 
pallets.
Hence, 48 pallets can be moved before quitting time.
Answer:x= 5/2 x= -1/2
Step-by-step explanation:
4(x-1)2-9
4(x2-2x+1) - 9
4x2 - 8x + 4 - 9
4x2 - 8x - 5
4x2 +2x - 10x - 5
2x(2x+1) - 5(2x+1)
(2x-5)(2x+1)
therefore, x= 5/2 x= -1/2
mark brainliest plzz
A) The given equation has no solution. The absolute value cannot be negative, but must be -9 in order for the equation to be satisfied.
b) |x -7| = 2 . . . . . . . the equation
Solution 1:
-2 = x -7
5 = x . . . . . . add 7
Solution 2
x -7 = 2
x = 9 . . . . . . add 7
The two numbers are {5, 9}
