By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box can be made. If the cardboard is 13 in. long and 9 in. wide and the square cutaways have dimensions of x in. by x in., find a function that gives the volume of the resulting box.


Mathematics

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Find the partial fraction decomposition for the rational expression.

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

Mathematics

Find the sum or difference. Write the answer in standard form, a + bi.6i - (-8 - i)

A. -8 - 7i B. 8 + 7i C. -8 + 5i D. 8 - 5i

Mathematics

Solve the problem.The price p of a certain product and the quantity sold x obey the demand equation p = - x + 200, 0 ? x ? 300. Suppose that the cost C of producing x units is C =  + 800. Assuming that all items produced are sold, find the cost C as a function of the price p.

What will be an ideal response?

Mathematics

Add or subtract as indicated.(8rs + 7s2) - (8r3 + rs- 3s2)

A. -7r3 - 7rs + 10s2 B. -8r3 - 9rs + 10s2 C. -8r3 - 8rs + 4s2 D. -7r3 - 9rs + 4s2

Mathematics