Answer:
2) (-∞, 17]
Step-by-step explanation:
The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.
The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.
y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17
The range of the function is (-∞, 17].
The problem based on condition are solved using the unknown variables. The number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.
Given information-
The price of the tickets for the basketball game for adults is $4.00.
The price of the tickets for the basketball game for students is $2.50.
<h3>Variables</h3>Variables are the unknown and the value of the variables depend on the other variables in the equation. The above problem can be solved defining the variables from the given condition.
Let the total tickets purchased by the students is<em> x</em> and the total tickets porches by the adults is <em>y.</em>
As the total tickets sold for the game is $320. Thus,
.......1
Now as the total money with ticket selling is $1100. Thus,
Keep the value of u from the equation 1 in the above equation. We get,
Thus the number of tickets sold to the student are 120.
Keep this value in equation 1,
Thus the number of tickets sold to the adults are 200.
Hence the number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.