Find the relative extrema of the function, if they exist.f(x) = 2x2 - 16x + 27

A. Relative minimum at (4, -5)
B. Relative minimum at (5, -4)
C. Relative maximum at (-4, 5)
D. Relative minimum at (-5, 4)


Answer: A

Mathematics

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Evaluate the improper integral or state that it diverges.

A.  
B.  
C. 2 
D. diverges

Mathematics

Provide an appropriate response.IRS guidelines state that a married person under 65 years of age who can be claimed as a dependent on another person's tax return must file a return if(i) unearned income was over $750; or(ii) earned income was over $3925; or(iii) total of earned and unearned income was at least $5 and your spouse files a separate return and itemizes deductions; or(iv) total of earned and unearned income was more than the greater ofa) $750; orb) earned income (up to $3675) plus $250.Julia is 45 years old and can be claimed as a dependent by her father. She had earned income of $3800 and unearned income of $200. Julia's husband Bret files a separate return but does not itemize deductions. Must Julia file a return? Explain.

What will be an ideal response?

Mathematics

The graph below shows the approximate annual percentage growth rate in world population for the years 1960 through 2010. Data is estimated by the UN Census Bureau.Annual Growth Rate (Percentage) Use the graph to answer the question.How does world population in 1978 compare to world population in 1977?

A. It is the same B. It is 1.75% less C. It is 1.75% greater D. It is 1.75 million greater

Mathematics

Write the phrase as a mathematical expression. Use x as the variable.4 times the sum of 2 times a number and 7

A. 4 + 2x + 7 B. 4(2x + 7) C. 4(2(x + 7)) D. 4(x + 7)

Mathematics