In the following exercises, solve. Round answers to the nearest tenth.
287. A land owner is planning to build a fenced in rectangular patio behind his garage, using his garage as one of the "walls." He wants to maximize the area using 80 feet of fencing. The quadratic function
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- In the following exercises, solve. Round answers to the nearest tenth. 285. A rancher is going to fence three sides of a corral next to a river. He needs to maximize the corral area using 240 feet of fencing. The quadratic equation A(x)=x(2402x) gives the area of the corral, A, for the length, x, of the corral along the river. Find the length of the corral along the river that will give the maximum area, and then find the maximum area of the corral.arrow_forwardIn the following exercises, solve. Round answers to the nearest tenth. 281. A computer store owner estimates that by charging x dollars each for a certain computer, he can sell 40x computers each week. The quadratic function R(x)=x2+40x is used to find the revenue, R, received when the selling price of a computer is x, Find the selling price that will give him the maximum revenue, and then find the amount of the maximum revenue.arrow_forwardIn the following exercises, solve. Round answers to the nearest tenth. 283. A retailer who sells fashion boots estimates that by selling them for x dollars each, he will be able to sell 70x boots a week. Use the quadratic function R(x)=x2+70x to find the revenue received when the average selling price of a pair of fashion boots is x. Find the selling price that will give him the maximum revenue, and then find the amount of the maximum revenue.arrow_forward
- How can you use the discriminant when you are graphing a quadratic function?arrow_forwardIn the following exercises, solve. Round answers to the nearest tenth. 286. A veterinarian is enclosing a rectangular outdoor running area against his building for the dogs he cares for. He needs to maximize the area using 100 feet of fencing. The quadratic function A(x)=x(1002x) gives the area, A, of the dog run for the length, x, of the building that will border the dog run. Find the length of the building that should border the dog run to give the maximum area, and then find the maximum area of the dog run.arrow_forwardIn the following exercises, solve. Round answers to the nearest tenth. 288. A family of three young children just moved into a house with a yard that is not fenced in. The previous owner gave them 300 feet of fencing to use to enclose part of their backyard. Use the quadratic function A(x)=x(3002x) to determine the maximum area of the fenced in yard.arrow_forward
- In the following exercises, solve. Round answers to the nearest tenth. 282. A retailer who sells backpacks estimates that by selling them for x dollars each, he will be able to sell 100x backpacks a month. The quadratic function R(x)=x2+100x is used to find the R, received when the selling price of a backpack is x. Find the selling price that will give him the maximum revenue, and then find the amount of the maximum revenue.arrow_forwardIn the following exercises, find the intercepts of the parabola whose function is given. 244. f(x)=x2+5x+6arrow_forwardIn the following exercises, solve. Round answers to the nearest tenth. 208. A veterinarian is enclosing a rectangular outdoor running area against his building for the dogshe cares for. He needs to maximize the area using 100 feet of fencing. The quadratic equation A=x(1002x) gives the area, A, of the dog run for the length, x, of the building that will border the dog run. Find the length of the building that should border the dog run to give the maximum area, and then find the maximum area of the dog run.arrow_forward
- In the following exercises, solve. Round answers to the nearest tenth. 203. An arrow is shot vertically upward from a platform 45 feet high at a rate of 168 ft/sec. Use the quadratic equation h=16t2+168t+45 to find how long it will take the arrow to reach its maximum height, and then find the maximum height.arrow_forwardSolve y(3y1)2=0 by using the Quadratic Formula.arrow_forwardIn the following exercises, (a) graph the quadratic functions on the same rectangular coordinate system and (b) describe what effect adding a constant k, to the function has on the basic parabola. 293. f(x)=x2,g(x)=x2+4, and h(x)=x24 .arrow_forward
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