Solve the problem.The following table shows the number of dog collars, in thousands, produced by Allied Pet Products in the 3 years considered. Fit a quadratic function f(x) = ax2 + bx + c to the data. What is the value of c?

A. 14
B. 20
C. 12.8
D. 23.6


Answer: B

Mathematics

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Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down.

A. Local minimum at x = 3 ; local maximum at x = -3 ; concave up on (-?, -3) and (3, ?); concave down on (-3, 3) B. Local minimum at x = 3 ; local maximum at x = -3 ; concave up on (0, ?); concave down on (-?, 0) C. Local minimum at x = 3 ; local maximum at x = -3 ; concave down on (0, ?); concave up on (-?, 0) D. Local minimum at x = 3 ; local maximum at x = -3 ; concave down on (-?, -3) and (3, ?); concave up on (-3, 3)

Mathematics

The table shows the number of votes received by each candidate in an election along with the amount spent by the candidate on advertising. Use the table to answer the question..  CandidateNumber of VotesAmount Spent on Advertising ($)  Jose Gonzales  57,209  59,104  Angela Wong  67,108  59,024  Sue Miller  67,091  102,376  Tyler Johnson  41,036  66,514  Sandra Ouye  41,009  72,607Which candidate received the fewest votes?

A. Sue Miller B. Tyler Johnson C. Sandra Ouye D. Jose Gonzales

Mathematics

Simplify the expression. Write your answer without negative exponents. Whenever an exponent is negative or zero, assume that the base is not zero.-5

A.  
B. -  
C.  
D. -  

Mathematics

Let S be a set with 6 elements. Determine the number of unordered partitions of S of type: (2, 2, 2).

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

Mathematics