<h2>INVERSE VARIATION</h2>
<em>E</em><em>Q</em><em>U</em><em>A</em><em>T</em><em>I</em><em>O</em><em>N</em><em>:</em><em> </em><em> </em><em> </em><em> </em>
<em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em>
First, find the constant of variation <em>k</em> using the formula k=xy.
<em>–</em><em>–––––––</em>
Then, find <em>y</em> if <em>x</em> is equal to four using the formula y=184/x.
<em>F</em><em>i</em><em>n</em><em>a</em><em>l</em><em> </em><em>A</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em>:</em>
<h2>y = 46</h2>
Simplified, it is equal to
2x+5.
To get your answer, you factor the numerator. Then, when you get (2x+5)²/(2x+5), you cancel out one of the 2x+5 in the numerator with the one in the denominator and get your answer.
Hope this helps!
Part A: marisol, because 831,982 is closer to 830,000 than 800,000 is
Answer:
x = -13, y = -3
Step-by-step explanation:
let a number = x; the other = y
x = 3y - 4
x + y = -16
Isolate the y in the second equation. Subtract x from both sides
x (-x) + y = -16 (-x)
y = -16 - x
Plug in -16 - x for y
x = 3(-16 - x) - 4
Simplify. Distribute 3 to all terms within the parenthesis
x = -3x - 48 - 4
x = -3x - 52
Isolate the x. Add 3x to both sides
x (+3x) = -3x (+3x) - 52
4x = -52
Divide 4 from both sides
(4x)/4 = (-52)/4
x = -52/4
x = -13
Plug in -13 for x in one of the equations:
x + y = -16
(-13) + y = -16
Isolate the x. Add 13 to both sides
y - 13 (+13) = -16 (+13)
y = -16 + 13
y = -3
Answers: x = -13, y = -3
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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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