The distributive property combines multiplication with addition and multiplication with subtraction together in order to simplify the equation. It is named as such because the number outside of the open and close parenthesis are distributed to the terms inside. Say for example, the equation given is 5(2x - 3). According to the distributive property, you distribute 5 by multiplying to each of the terms inside the parentheses. The solution would be: 5*2x + 5*-3 = 10x - 15. As you can see, it involved multiplication with addition and subtraction. Generally, you just have to add all the terms while making sure you carry the sign of the integer along when you multiply them just as shown in my example.
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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Answer:
The fourth one
Step-by-step explanation:
I know that is correct
Answer:
42.5m/s
Step-by-step explanation:
Divide by 40
