You are selling tickets to a play. You have sold (3t+2) tickets for $5 each and (2t+5) tickets for $7 each. Write an expression
1 answer:
Given that the number of tickets that are sold for $5 is (3t+2) tickets.
The number of tickets that are sold for $7 is (2t+5) tickets.
We need to determine the expression that represents the total number of tickets sold and the simplified expression.
<u>Total number of tickets sold:</u>
The expression for (3t+2) tickets sold for $5 is given by
The expression for (2t+5) tickets sold for $7 is given by
The expression for the total number of tickets sold is given by
Thus, the expression that represents the total number of tickets sold is
<u>Simplified expression:</u>
We need to simplify the expression
Hence, let us multiply the terms within the bracket.
Thus, we get;
Adding the like terms, we have,
Thus, the simplified expression is
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Step-by-step explanation:
Take the first derivative
Set the derivative equal to 0.
or
For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).
For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.
Since we are going to Positve to negative slope, we have a local max at x=-1
Plug in -1 for x into the original function
So the local max is 2 and occurs at x=-1,
For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.
Since we are going to decreasing to increasing, we have minimum at x=1,
Plug in 1 for x into original function
So the local min occurs at -2, at x=1