A penny is thrown from the top of a 48.9-meter building and hits the ground 3.04 seconds after it was thrown. The penny reached its maximum height above the ground 0.79 seconds after it was thrown. Define a quadratic function, h, that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t.     What is the maximum height of the penny above the ground?

You purchased a car for $30 000. It depreciates by 25% of its current value every year. a) Write a function that can be used to model the value of the car after x years. b) How much will the car be worth 3 years after it is purchased? c) How long would it take for the car to depreciate to a value of $20 000?

Anthropologists can determine a person's height in life by using the person's skeletal remains as a clue. For example, the height (in centimeters) of a man with a humerus bone of length x cm can be obtained by multiplying 2.89 by x and adding 70.64 to the result. (a) Find a function h(x) that gives the height of a man whose humerus bone is x cm long. h(x) = (b) Use your function h from part (a) to predict the height of a man whose humerus bone is 25 cm long. cm

A company has sales (measured in millions) of $50, $60, and $75 during three consecutive years. Find a quadratic function that fits the data, and use it to predict the sales during the fourth year.

Anthropologists can determine a person's height in life by using the person's skeletal remains as a clue. For example, the height (in centimeters) of a man with a humerus bone of length x cm can be obtained by multiplying 2.89 by x and adding 70.64 to the result. (a) Find a function h(x) that gives the height of a man whose humerus bone is x cm long. h(x) = (b) Use your function h from part (a) to predict the height of a man whose humerus bone is 30 cm long. cm

A person standing close to the edge on top of a 28-foot building throws a ball vertically upward. The quadratic function ℎ(�)=-16�2+108�+28 models the ball's height about the ground, ℎ(�), in feet, � seconds after it was thrown.a) What is the maximum height of the ball?   feetb) How many seconds does it take until the ball hits the ground?   seconds

Find a quadratic function whose graph passes through the following points: (0, 0), (1, 1), (9, -23). If there is no solution, enter NO SOLUTION.

The table below shows data on the number of employees that a small company had from 1975 to 2000. Year 1975 1980 1985 1990 1995 2000 # of 50 65 70 60 55 44 Employees Let 0 represent the year 1975. Find a quadratic model for this function. .2 y = ax + bx + c Using the above equation, fill in the coefficients for a, b, and c rounding all decimals to the hundredths place.