We didn't use the quadratic formula in class so it is now your turn to try it. When there is a numberin front of the this tends to be the best method for now. Here it is:X =-b+√b²-4ac2ay = ax² + bx+c is the original problemy = 4x² + 15x + 9 try this one

Answered: Image /qna-images/answer/f0f8ee9e-a3f2-40f0-9dfa-61a297249dab.jpg

Answered: We didn't use the quadratic formula in…

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter9: Quadratic Equations And Functions

Section9.7: Graph Quadratic Functions Using Transformations

Problem 362E: Graph the quadratic function f(x)=2x24x3 first using the properties as we did in the last section...

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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.
In the following exercises, solve. Round answers to the nearest tenth. 284. A cell phone company estimates that by charging x dollars each for a certain cell phone, they can sell 8x cell phones per day. Use the quadratic function R(x)=x2+8x to find the revenue received when the selling price of a cell phone is x. Find the selling price that will give them the maximum revenue, and then find the amount of the maximum revenue.
In 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.
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.
In 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.
In 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.
In the following exercises, solve. Rounding answers to the nearest tenth. 322. A daycare facility is enclosing a rectangular area along the side of their building for the children to play outdoors. They need to maximize the area using 180 feet of fencing on three sides of the yard. The quadratic equation A=2x2+180x gives the area, A, of the yard for the length, x, of the building that will border the yard. Find the length of the building that should border the yard to maximize the area, and then find the maximum area.
In the following exercises, solve. Round answers to the nearest tenth. 278. A stone is thrown vertically upward from a platform that is 20 feet height at a rate of 160 ft/sec. Use the quadratic function h(t)=16t2+160t+20 to find how long it will take the stone to reach its maximum height, and then find the maximum height.
In the following exercises, solve. Round answers to the nearest tenth. 279. A ball is thrown vertically upward from the ground with an initial velocity of 109 ft/sec. Use the quadratic function h(t)=16t2+109t+0 to find how long it will take for the ball to reach its maximum height, and then find the maximum height.
In 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.
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 A(x)=x(802x) gives the area of the patio, where x is the width of one side. Find the maximum area of the patio.
How do we recognize when an equation is quadratic?

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We didn't use the quadratic formula in class so it is now your turn to try it. When there is a number in front of the this tends to be the best method for now. Here it is: X = -b+√b²-4ac 2a y = ax² + bx + c y = 4x² + 15x + 9 is the original problem try this one