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Answered: Image /qna-images/answer/4bf7d0a0-4590-4cd1-bbcb-2aab12979b36.jpg

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

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter9: Quadratic Equations And Functions

Section9.5: Solve Applications Of Quadratic Equations

Problem 9.78TI: A man throws a ball into the air with a velocity of 96 ft/s. Use the formula h=16t2+v0t to determine...

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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.
j + 28.6 = 43
The value V (in millions of dollars) of a famous painting can be modeled by the equation V = 10ekt, where t represents the year, with t = 0 corresponding to 1995. In 2006, the same painting was sold for $75 million. Find the value of k. Use the value of k to predict the value of the painting in 2014.
A football is kicked vertically upward from a height of 7 feet with an initial speed of 65 feet per second. The formula h=7+65t−16t2 describes the ball's height above the ground, h, in feet, t seconds after it was kicked. Use this formula to find the ball's height 4 seconds after it was kicked.
The height of an object tossed upward with an initial velocity of 80 feet per second is given by the formula h = = 16t² + 80t, where h is the height in feet and t is the time in seconds. Find the time required for the object to return to its point of departure. TIP Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 Enter DNE for Does Not Exist, oo for Infinity
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A student launches a toy model rocket from the top of a building. The rocket lands on a target on the ground below (shattering to pieces after the parachute fails to open). The equation for the rocket's height in meters is given by A(t) = -4/10(t-30) to the 2nd power + 650 where t is the time in seconds after launch. How high is the building that the rocket was launched from? I think 650 represents the height of the building. Am I right? What was the greatest height that the rocket reached, and how long after launch did it reach this height? When I use he quadratic formula, I come up with 5 with the square root of 65 +30 as the x-intercept. I just don't know if that is the right answer and how that translates into seconds. My y-intercept is 290, so I am thinking that was the maximum height for the rocket. Is that correct? When did the rocket land?
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