Solve the problem.Find real numbers a, b, and c such that the graph of the function y = ax2 + bx + c contains the points , (2, 4), and (-3, 29).

Fill in the blank(s) with the appropriate word(s).


a = 2, b = -3, c = 2

Mathematics

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Use a differential to approximate the quantity to the nearest thousandth. ? 

A.
B.
C.
D.

Mathematics

Find the equation of the hyperbola satisfying the given conditions.Vertices at (2, 0) and (-2, 0); foci at (9, 0) and (-9, 0)

A.  -  = 1
B.  -  = 1
C.  -  = 1
D.  -  = 1

Mathematics

Solve the problem.The value V, in dollars, of a shopkeeper's inventory software program is given by the formula  where t is the number of years since the shopkeeper first bought the program. Find the number of years after which the value of the inventory program is $280 by solving the equation  graphically, using the following graph.  

A. 9 years B. 6 years C. 10 years D. 550 years

Mathematics

Solve the problem.The table shows the number of deaths due to car accidents in a certain city in various years.  Let f(t) be the number of deaths due to car accidents at t years since 2012. Use a quadratic model to predict the number of deaths due to car accidents in the year 2020. (First find a quadratic equation for f in vertex form by using the data for the years 2015 and 2017).

A. 86 B. 76 C. 94 D. 112

Mathematics