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Answered: uadratic formula: 6x - 8x + 1 = 0.…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter9: Solving Quadratic Functions

Section: Chapter Questions

Problem 19CR

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Similar questions

Solve, rounding answers to the nearest tenth. The quadratic function h(x)=16t2+128t+32 is used to find the height of a stone thrown upward from a height of 32 feet at a rate of 128 ft/sec. How long will it take for the stone to reach its maximum height? What is the maximum height?
A bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial height of 8 feet. Use the formula h=16t2+v0t+8 to determine how many seconds it will take for the bullet to hit the ground. (That is, when will h=0 ?)
A man throws a ball into the air with a velocity of 96 ft/s. Use the formula h=16t2+v0t to determine when the height of the ball will be 48 feet. Round to the nearest tenth.
A man throws a ball into the air with a velocity of 96 ft/sec. Use the formula h=16t2+v0t to determine when the height of the ball will be 48 feet. Round to the nearest tenth of a second.
The quadratic equation h=16t2+128t+32 is used to find the height of a stone thrown upward from a height of 32 feet at a rate of 128 ft/sec. How long will it take for the stone to reach its maximum height? What is the maximum height? Round answers to the nearest tenth.
Solve 4t2+2t=20 by completing the square.
In the following exercises, solve. Round answers to the nearest tenth. 277. An arrow is shot vertically upward from a platform 45 feet high at a rate of 168 ft/sec. Use the quadratic function h(t)=16t2+168t+45 find how long it will take the arrow to reach its maximum height, and then find the maximum height.
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.
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. 207. 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(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. 204. A stone is thrown vertically upward from a platform that is 20 feet high at a rate of 160 ft/sec. Use the quadratic equation h=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. 280. A ball is thrown vertically upward from the ground with an initial velocity of 122 ft/sec. Use the quadratic function h(t)=16t2+122t+0 to find how long it will take for the ball to reach its maxiumum height, and then find the maximum height.

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