"f(2)>0" tells you that if you evaluate the function f(x) at 2, the result is: 1) positive, or 2) greater than zero.
Answer: y = 7
Step-by-step explanation: The equation of the original line in standard form is y = -5. Lines with a "y = b" equation are horizontal, so we know that the parallel line will also be horizontal and follow the y=b format. The original line passes through the point (2, 7) so the equation is y = 7.
Step-by-step explanation:
y=(x+5)(x-1)
y=-5 x=0
y=0. x=-5
y=0 x=1
now you got the points so graph will be like
The ticket price which will maximize the student's council is: C. $3.10.
<h3>What is price?</h3>
Price can be defined as an amount of money which is primarily set by the seller of a product, and it must be paid by a buyer to the seller, so as to enable the acquisition of this product.
Based on the information provided about Valley High School student council, we can logically deduce the following data:
- Total number of students = 420 students.
- Lowest ticket price = $2.00.
- Increase in ticket price = $0.20.
- Attendance = 20 fewer students
<h3>How to determine the ticket price?</h3>
Mathematically, the equation which model the profit is given by:
Profit = price × number of tickets sold
P(x) = (2 + 0.2x)(420 - 20x)
P(x) = 840 + 84x - 40x - 4x²
P(x) = -4x² + 44x + 840.
For any quadratic equation with a parabolic curve, the axis of symmetry is given by:
Xmax = -b/2a
Xmax = -44/2(-4)
Xmax = -44/-8.
Xmax = 5.5
Ticket price for maximum profit is given by:
Ticket price = 2 + 0.2x
Ticket price = 2 + 0.2(5.5)
Ticket price = $3.10.
Read more on maximized profit here: brainly.com/question/13800671
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