Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right
1 answer:
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Answer:
A quadratic equation is of the form: .....[1] where
a. b and c are coefficient and x is the variable.
The solutions of the equation are;
Given the function:
To find the zero of this function.
Set f(x) = 0
⇒
On comparing this with equation [1] we have;
a = 6, b = 12 and c = -7
then;
or
or
Therefore, the zeros of the quadratic function f(x) are;
and
Answer:
The ticket price that maximizes revenue is $50.
The maximum monthly revenue is $250,000.
Step-by-step explanation:
We have to write a function that describes the revenue of the airline.
We know one point of this function: when the price is $30, the amount of passengers is 7000.
We also know that for an increase of $1 in the ticket price, the amount of passengers will decrease by 100.
Then, we can write the revenue as the multiplication of price and passengers:
where x is the variation in the price of the ticket.
Then, if we derive R in function of x, and equal to 0, we will have the value of x that maximizes the revenue.
We know that the increment in price (from the $30 level) that maximizes the revenue is $20, so the price should be:
The maximum monthly revenue is: