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Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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The quadratic function h(t) = -16.1t2 + 150 models a ball's height, in feet, over time, in seconds, after it is dropped from a 15 story building. Choose the graphic representation of the quadratic function.
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- Graph the quadratic function f(x) = -2(x - 3)2 + 8.arrow_forwardMia jumps off a cliff into the ocean in Acapulco while on vacation. Her height, h, above the water in feet is given by the function h(t) = -16t2 + 16t + 480, where t is the time in seconds since her jump. When will her friends hear the splash?arrow_forwardWe are standing on the top of a 48 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after t seconds is ℎ(�)=-16�2+32�+48. What is the highest point that the object reaches?arrow_forward
- Skeet shooting is a competitive event where participants shoot clay targets that have been mechanically flung into the air. During an Olympic trial, the height of the skeet can be modeled by the equation, h(t) = −5t² + 32t + 2, where h is the height in meters t seconds after the skeet is released. If the path of the bullet can be modeled by the function, h(t) = 31.5t + 1 with the same units for height and time. Answer the questions that follow. The bullet will hit the skeet at When the skeet is hit, it will be seconds. feet off the ground.arrow_forwardGiven a quadratic function with vertex (4, -2) that opens upwards, find the range.arrow_forwardWe are standing on the top of a 48 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after t seconds is ℎ(�)=-16�2+32�+48. What is the highest point that the object reaches?arrow_forward
- Ms. Miranda runs a cookie and cupcake business. When she sells “x” items per year, the income is described by the quadratic function:f (x) = 72x - 0.08x ^ 2 1. Calculate the number of items she should sell each year for her to earn the maximum income. 2. What is the maximum income?arrow_forwardGraph the function f (x) = 5x-7. -B 130arrow_forwardAn object is launched at 15 meters per second from a 50-meter tall platform. The equation for the objects height h at time t seconds after the launch is h(+)=-4.9t^2+15t+50, where h is in meters. Round answers to 2 decimal places. A- how long will it take for the object to reach it's maximum height? B- what will the maximum height of the object be? C- how long will it take the object to hit the ground?arrow_forward
- State the x intercepts of the following quadratic function. wwwwwww f(x)= 1(x-10)(x - 11) Write your answers as ordered pairs. - Answer: x - intercept 1 = x-intercept 2 =arrow_forwardWe are standing on the top of a 384 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after t seconds is h(t) — 16t² + 32t + 384. What is the highest = point that the object reaches? feetarrow_forwardUse the quadratic function h to answer the questions. h(x)=2x^2−4x+7 What is the vertex of the graph? What is the standard form of the function?arrow_forward
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