All changes saved3. A six-foot-tall basketball player shoots a ball towards the basket and misses. The height infeet of the ball up off the floor of the court as it travels through the air can be modeled by thefunction: h(x) = -16x² + 48x + 6 where x is the number of seconds the ball is in the airafter the shot is taken. When does the ball reach its maximum height? What is theGallery%3Dmaximum height of the ball? How much time will pass in seconds from the start of the shotto the ball hitting the floor? Answer all three questions to receive full credit.

Answered: Image /qna-images/answer/8bfb8c49-dc85-4a96-b0e3-427bc58814f4.jpg

Answered: 3. A six-foot-tall basketball player…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.6: Solving Quadratic Equations By Using The Quadratic Formula

Problem 15CYU

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Similar questions

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. 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.
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. 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.
Crime prevention The number f(x) of incidents of family violence requiring police response appears to be related to x, the money spent on crisis intervention, by the equation f(x)=4300.005x. What expenditure would reduce the number of incidents to 350?
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.
Translate and solve: Three-fourths of f is 21.
In the following exercises, solve. 334. Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball from 48 feet above the ground, the function h(t)=16t2+32t+48 models the height, h, of the ball above the ground as a function of time, t. Find: (a) the zeros of this function which tells us when the ball will hit the ground. (b) the time(s) the ball will be 48 feet above the ground. (c) the height the ball will be at t=1 seconds which is when the ball will be at its highest point.
Find the x-intercept and y-intercept of the equation 3x—y= 6.
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 462. Jing is going to throw a ball from the balcony of her condo. When she throws the ball from 80 feet above the ground, the function h(t)=16t2+64t+80 models the height, h, of the ball above the ground as a function of time, t. Find: (a) the zeros of this function which tells us when the ball will hit the ground. (b) the time(s) the ball will be 128 feet above the ground. (c) the height the ball will be at t=4 seconds.

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