Find the domain of the function.f(x) = 

A. {x|x ? -8}, or (-?, -8) ? (-8, ?)
B. {x|x ? 2}, or (-?, 2) ? (2, ?)
C. {x|x ? -8 and x ? 2}, or (-?, -8) ? (-8, 2) ? (2, ?)
D. all real numbers, or (-?, ?)


Answer: C

Mathematics

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The total weekly revenue (in dollars) of the company realized in manufacturing and selling its rolltop desks is given by




where x denotes the number of finished units and y denotes the number of unfinished units manufactured and sold each week. The total weekly cost attributable to the manufacture of these desks is given by



dollars. Determine how many finished units and how many unfinished units the company should manufacture each week in order to maximize its profit. What is the maximum profit(P) realizable?

x = __________

y = __________

P = $__________

What will be an ideal response?

Mathematics

Solve the problem.A $94,000 trust is to be invested in bonds paying 7%, CDs paying 5%, and mortgages paying 9%. The bond and CD investment must equal the mortgage investment. To earn a $7140 annual income from the investments, how much should the bank invest in bonds?

A. $28,000 B. $47,000 C. $19,000 D. $26,000

Mathematics

Write the partial fraction decomposition of the rational expression.

A.  +  + 
B.  +  + 
C.  +  + 
D.  +  + 

Mathematics

Use the table to answer the question. Write the number in words. Which type of housing is most used?

A. owning a house; twenty billion, six hundred fifty-two million, eight hundred fifty-three B. renting a house; five million, one hundred fifty-three thousand, three hundred fifty-four C. owning a condo; seven thousand, three hundred seventy-nine million, two hundred eleven D. owning a house; twenty million, six hundred fifty-two thousand, eight hundred fifty-three

Mathematics