The height h in feet of a projectile launched vertically upward from the top of a 96-foot tall tower is given by h(t) = 96 + 80t - 16t2. How long will it take the projectile to strike the ground?What is the maximum height that the projectile reaches? When does the rocket reach the maximum height? 4. The height h in feet of a projectile launched vertically upward from thetop of a 96-foot tall tower is given by h(t) = 96 + 80t 16t.a. How long will it take the projectile to strike the ground?b. What is the maximum height that the projectile reaches?c. When does the rocket reach the maximum height?5. A company earns a weekly profit of P dollars by selling x items,according to the equation P(x) = -0.5x? +40x 300.a. How many items does the company have to sell each week to maximizethe profit?b. How many items will result in the company breaking even (a profit of 0)?

The height h in feet of a projectile launched vertically upward from the top of a 96-foot tall tower is given by h(t) = 96 + 80t - 16t2. How long will it take the projectile to strike the ground? What is the maximum height that the projectile reaches? When does the rocket reach the maximum height?

The height h in feet of a projectile launched vertically upward from the top of a 96-foot tall tower is given by h(t) = 96 + 80t - 16t2. How long will it take the projectile to strike the ground? What is the maximum height that the projectile reaches? When does the rocket reach the maximum height?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter5: Polynomial And Rational Functions

Section: Chapter Questions

Problem 6PT: Solve the following application problem. A rectangular field is to be enclosed by fencing. In...

See similar textbooks

Related questions

Q: The monthly revenue for printer ink for a large office supply store is R(x)=-x^2+12x+13 where X is…

A: Revenue R = - x2 + 12x + 13

Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: Answer

Q: use quadratic functions. Suppose that the equation p(x) = -2x2 + 280x - 1000, where x represents the…

A: Use quadratic functions. Suppose that the equation p(x) = -2x2 + 280x - 1000, where x represents the…

Q: f(x)=-x^2+36x+520 where x is the number of handbags that Sara sells What is the maximum revenue

Q: Solve for the zeros of the quadratic function f(x) = 9x2 + 6x + 1. Write the answer as a fraction.…

Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

Q: (3) If a projectile is launched into the air at 29.4 feet per second from aheight of 60 feet, its…

A: 3. given that u=29.4 feet per secondh=60…

Q: An apple orchard produces a profit of $40 per tree when planted with 3200 trees. Owing to…

A: Let number of tree is x Profit peer tree is equal to 40-0.04x-3200 Hence, total profit Px is…

Q: use graphs to find approximate solutions 3 - 2-x = 0

A: The equation is 3 - 2 - x = 0 By combine like terms 1 - x = 0 That is x = 1

Q: The maximum running speed (in km/h) of mammals is given byVmax= ƒ(x) = 23.6x0.165,where x is the…

A: (i) As the body mass of the given species is 62 kg, we get the maximum running speed of the…

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x)= 30x…

Q: A smart-phone is thrown upwards from the top of a 336-foot building with an initial velocity of 64…

A: NOTE: Refresh your page if you can't see any equations. . when the phone hits the ground, its…

Q: A ball thrown into the air reaches a height h (in feet) according to the formulah = -16t2 + 64t,…

A: Given h(t) =-16t2+64t here h in feet and t is time in second

Q: A retailer who sells backpacks estimates that by selling them for x dollars each, she will be able…

Q: solution

A: Please refer to the image below

Q: Solve for the zeroes of f(x) = x* - 4x2 and sketch the graph %3D

Q: 5. The height (feet) of a projectile x seconds after it is launched straight up in the air is given…

A: The instantaneous speed of any projectile at it's maximum height is zero . Because gravity provides…

Q: Match the quadratic function with its graph. Ax) =-(x-2)2

A: If a parabola has a vertical axis, the standard form of the equation of the parabola is this:…

Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: A projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its height…

Q: Determine the quadratic equation that has zeroes at -4 and 11, if f(-3)=56. Show all your work.

A: We have to determine the quadratic equation that has zeros at -4 and 11 If f(-3) = 56

Q: Find a formula for the quadratic function whose graph has a y-intercept of y=11 and x-intercepts at…

A: To find the expression (second degree in x) for y from the given data

Q: The revenue for a company producing friendship bracelets is given by f(x) = -15x2 - 30x + 200 %3D…

A: Given:- Revenue function f(x) = -15x2-30x+200 Cost function y=5x-12 x is price in dollars for each…

Q: Solve the quadratic for x: f (x) = x² – 7x – 18

A: The formula to find the solutions of the quadratic equation helps to find the required solutions.…

Q: If a projectile is fired straight upward from the ground with an initial speed of 96 feet per…

Q: Solve for f(2) f(x)=-3x+3 f(2)=?

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x)=…

A: First of all, consider the given function P (x) which shows relation between the profit of a tour…

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

Q: For the quadratic function f(x) = - (x - 1)(x – 5), identify the x-intercepts, vertex, and the…

A: Given problem:- For the quadratic function f(x) = - (x - 1)(x – 5), identify the x-intercepts,…

Q: A soft-drink vendor at a popular beach analyzes his sales records and find that if he sells "x" Cans…

Q: (3) If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: Since you have posts the multiple question. I am answering the first one. Please posts the question…

Q: A soft drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans…

A: To determine the maximum value of the equation y=ax2+bx+c the maximum by using the equation: max…

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans…

A: We have given,A soft-drink vendor sells x cans of soda pop in one dayHis profit (in dollars) is…

Q: What is the equation of a quadratic function y = f(x) with two irrational zeros,-h and h where h is…

A: Given, The equation of a quadratic function y=fx with two irrational zeros, -h and…

Q: Find a formula for the quadratic function whose graph has a y-intercept at y=7 and x-intercepts at…

Q: Find a formula for the quadratic function with a vertex of (5,0) while f(6)=2

A: Given, A formula for the quadratic function with a vertex of 5,0 while f6=2.We know that,…

Q: In a nutrient medium, the rate of increase in the surface area of a cell culture can be modelled by…

Q: A ball is thrown directly upward from the top of a 25-foot-tall building. Its height is represented…

A: Given equation of s(t) = 25+20t-5t^2

Q: The owner of a video store has determined that the profits P of the store are approximately given by…

A: Solve for the maximum profit

Q: use quadratic functions. Suppose that the cost function for a particular item is given by the…

A: We have to use quadratic functions. The cost function for a particular item is given by the…

Q: When a ball is tossed into the air, the height h is feet of the ball t seconds from the time that…

A: ht=-16t2+80t+4 Comparing with ht=at2+bt+c, we get a=-16, b=80 & c=4 Now maximum value occurs at,…

Q: Find a quadratic function with the roots 1 and 3

Q: The height of a rocket is modeled by h(x) = -(4x-8)(4x-24). About how long after reaching maximum…

Q: 3. Determine the equation of the cubic function with zeros -1, 213 and 3, passing through (4, 5).

Q: A defender kicks a soccer ball away from her own goal. The path of the kicked soccer ball can be…

A: The path of soccer ball is given as , hx=-0.06x2+3.168x-35.34 where x is the horizontal distance…

Q: A ball thrown into the air reaches a height h (in feet) according to the formula h = -16t2 + 80t,…

A: Given, Height in feet, h = -16t2 +80t Where t is the time elapsed since the ball was thrown We…

Q: f(x)=43^2x+4x^4−44x3−864+72x^2 What is the end behaivoir of this?

Q: The height of a projectile, in metres, is modelled by H(t) = -5t2 + 10t + 8, where time, t, is in…

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

A: A tour operator believes that the profit P, in dollars, from selling x tickets is given by P(x) =…

Q: use graphs to find approximate solutions 2x = 5

A: Given that, 2x=5

Q: Write the equation of the polynomial function, f (x), in the graph on the right. Remember to solve…

Question

The height h in feet of a projectile launched vertically upward from the top of a 96-foot tall tower is given by h(t) = 96 + 80t - 16t2.

How long will it take the projectile to strike the ground?
What is the maximum height that the projectile reaches?
When does the rocket reach the maximum height?

4. The height h in feet of a projectile launched vertically upward from the
top of a 96-foot tall tower is given by h(t) = 96 + 80t 16t.
a. How long will it take the projectile to strike the ground?
b. What is the maximum height that the projectile reaches?
c. When does the rocket reach the maximum height?
5. A company earns a weekly profit of P dollars by selling x items,
according to the equation P(x) = -0.5x? +40x 300.
a. How many items does the company have to sell each week to maximize
the profit?
b. How many items will result in the company breaking even (a profit of 0)?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Quadratic Equations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream After t minutes is given by C(t)=0.06t0.0002t2 where 0t240 and concentration is measured in mg/L .When is the maximum serum concentration reached, and what is that maximum concentration?
Assume that an object tossed vertically upward reaches a height of h feet after t seconds, where h=100t16t2. What is that maximum height?
A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function of. h(x)=16t2+208t. When will the rocket reach its maximum height? What will be the maximum height?
Solve the following application problem. A rectangular field is to be enclosed by fencing. In addition to the enclosing fence, another fence is to divide the field into two parts, running parallel to two sides. If 1,200 feet of fencing is available, find the maximum area that can be enclosed.
Find the unknown value. 27. y varies jointly with x and the cube root of 2. If when x=2 and z=27,y=12, find y if x=5 and z=8.
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 ?)
The approximate distance d (in feet) that travel after noticing that they must come to a sudden stop is given by the following formula, where x is the speed of the car (in mi/h): d=x+x220 If a car travels 75 ft. before slopping, what was its speed before the brakes were applied?