Solve the problem.The table shows the number of new cases (in thousands) of a certain disease diagnosed in a country in various years.    Let f(t) be the number of new cases (in thousands) of the disease diagnosed at t years since 2010. Use a quadratic model to predict the number of new cases of the disease that will be diagnosed in the year 2025. (First find a quadratic equation for f in vertex form by using the data for the years 2013 and 2017).

A. 139,400
B. 96,900
C. 71,700
D. 129,300


Answer: B

Mathematics

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Decide whether the argument is an example of inductive or deductive reasoning.The last four answers were false, therefore the next will be false.

A. Inductive B. Deductive

Mathematics

Find an equation of a parabola satisfying the given conditions.Focus (-2, -2), directrix y = 12

A. (y + 2)2 = -28(x + 5) B. (y + 2)2 = -28(x - 5) C. (x + 2)2 = -28(y + 5) D. (x + 2)2 = -28(y - 5)

Mathematics

State the domain of the rational function.f(x) = 

A. (-?, -2) ? (-2, 7) ? (7, ?) B. (-?, ?) C. (-?, -7) ? (-7, 2) ? (2, ?) D. (-?, 7) ? (7, ?)

Mathematics

The graph of a polar equation is given. Select the polar equation for the graph.

A. r = 8 cos ? B. r sin ? = 4 C. r = 8 sin ? D. r = 4

Mathematics