Answer:
y=0.
y + 6 = -4(X - 1.5)
y+6 = -4x+6
y = mx+b
y=4x
There isn't a b, which is the y intercept, so the y int would be 0
We have two flower beds in this example, the first has a perimeter of 100 feet, and the second has a perimeter of 180 feet
The total is 280 feet
<h3>Perimeter of Rectangle</h3>
Given Data
Dimension of the first flower bed
Length = 17 feet
Width = 33 feet
Perimeter = 2L + 2W
Perimeter = 2*17 + 2*33
Perimeter = 34 + 66
Perimeter = 100 feet
Dimension of the second flower bed
Length = 40 feet
Width = 50 feet
Perimeter = 2L + 2W
Perimeter = 2*40 + 2*50
Perimeter = 80 + 100
Perimeter = 180 feet
The total length will be 100+180 = 280 feet
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Part 1We are given

. This can be rewritten as

.
Therefore, a=1, b=-18, c=0.
Using the quadratic formula

The values of x are
Part 2Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a
quadratic function. Part 3.The first equation is

.
The second equation is

.
We have

Factoring, we have

Equating both factors to zero.

When the value of x is 6, the value of y is

When the value of x is -3, the value of y is

Therefore, the solutions are (6,38) or (-3,11)
Where is the problem that we have to solve
The ticket price that would maximize the total revenue would be $ 23.
Given that a football team charges $ 30 per ticket and averages 20,000 people per game, and each person spend an average of $ 8 on concessions, and for every drop of $ 1 in price, the attendance rises by 800 people, to determine what ticket price should the team charge to maximize total revenue, the following calculation must be performed:
- 20,000 x 30 + 20,000 x 8 = 760,000
- 24,000 x 25 + 24,000 x 8 = 792,000
- 28,000 x 20 + 28,000 x 8 = 784,000
- 26,000 x 22.5 + 26,000 x 8 = 793,000
- 27,200 x 21 + 27,200 x 8 = 788,000
- 26,400 x 22 + 26,400 x 8 = 792,000
- 25,600 x 23 + 25,600 x 8 = 793,600
- 24,800 x 24 + 24,600 x 8 = 792,000
Therefore, the ticket price that would maximize the total revenue would be $ 23.
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