Step-by-step explanation:
−3x−6+(−1)
-3x-7
<h2>Hope it helps you</h2>
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.
Learn more about Differentiation from:
brainly.com/question/24062595
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Answer:
The base of triangle is
and the height of triangle is 
Step-by-step explanation:
Given:
A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.
Now, to find the base and height of the triangle.
The base of triangle = 
The height of triangle = 
The area of triangle = 
Now, we put the formula of area to solve:



<em>Multiplying both sides by 16 we get:</em>
<em />
<em />
<em>Dividing both sides by 3 we get:</em>
<em />
<em />
<em>Using square root on both sides we get:</em>


Now, by substituting the value of
to get the base and height:

<em>So, the base of triangle = </em>
<em />

<em>Thus, the height of triangle = </em>
<em />
Therefore, the base of triangle is
and the height of triangle is 