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- A farmer wishes to enclose his armadillos into a rectangular region that will be bounded on one side of his barn. If the farmer has 140 feet of fence: Write a quadratic equation that would best model the area of the rectangular region. What is the maximum area of the rectangular region? What dimension(s) would yield an area of 2,000 square feet?3. If you could only learn one approach to solving quadratic equations, discuss which of theapproaches you would choose and why?4. Do you wholly agree with the statement that “the domain and range of a quadratic equation willbe [-∞, ∞]”? Provide arguments to support your position.Rudgene Claire, the President of Women's Association of their barangay, proposed a project: to put up a rectangular vegetable garden whose lot perimeter is 40 meters. The said proposal aims to augment the financial needs of each member through sharing and giving free fresh vegetables and fruits during pandemic outbreak. She was soliciting suggestions from her fellow members for possible dimensions of the lot. If you are a member of the club, what will you suggest to Rudgene Claire if you want a maximum lot area? You must convince her through a mathematical solution. Consider the following guidelines: 1. Make an illustration of the lot with the needed labels. 2. Solve the problem. 3. Represent your solution in a (a) table of values, (b) graphs and (c) equation. 4. Create your recommendation.
- Rudgene Claire, the President of Women's Association of their barangay, proposed a project: to put up a rectangular vegetable garden whose lot perimeter is 40 meters. The said proposal aims to augment the financial needs of each member through sharing and giving free fresh vegetables and fruits during pandemic outbreak. She was soliciting suggestions from her fellow members for possible dimensions of the lot. If you are a member of the club, what will you suggest to Rudgene Claire if you want a maximum lot area? You must convince her through a mathematical solutionA farmer wishes to fence off a rectangular field with 1000 ft of fencing. If the long side of field is field is along a stream (and does not require fencing) Find the dimensions of the large area that can be fenced in.required drawing.show drawing and complete solution.. 4. Write a quadratic equation that passes through the points (-2, 8), (1, 14), and (0,10)
- The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a corral. If there is 760feet of fencing available, what is the maximum possible area of the corral?Encik Samsudin, a PhD student has reported the concentration of E.coli bacteria, C(μg/L) in a swimming area after a storm can be modeled by the following equation(image below) (a) Using any suitable root-finding technique besides quadratic formula, determine the fastest time for the E. coli concentration increased to 3 µg/L when kmax = 8.0.A farmer wants to fence in a rectangular pen and then divide it in half with a fence parallel to one of the sides of the rectangle. One side is for his kangaroos. He has 60,000 feet of fence. What is the maximum area he can fence in AND what are the dimensions of the pen? What kind of animals should he keep on the other side?