Solve the problem.Suppose the cost of producing x items is given by C(x) = 4800 - x3 and the revenue made on the sale of x items is R(x) = 400x - 12x2. Find the number of items which serves as a break-even point.

A. 120 items
B. 12 items
C. 6 items
D. 36 items


Answer: B

Mathematics

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You want a linearization that will replace the function over an interval that includes the point x0. To make your subsequent work as simple as possible, you want to center the linearization not at x0 but at a nearby integer x = a at which the function and its derivative are easy to evaluate. What linearization do you use?f(x) = , x0 = 5.9

A.  + x
B.  + x
C.  + x
D.  + x

Mathematics

The pair of angles is supplementary. Given the measure of one of the angles, find the measure of the other angle.?ABC = 54.4°

A. ?PQR = 35.6° B. ?PQR = 144.4° C. ?PQR = 234.4° D. ?PQR = 125.6°

Mathematics

Use a ruler, protractor, and compass to construct, when possible, a triangle with the stated properties. Determine whether one triangle can be constructed, two or more noncongruent triangles can be constructed, or no triangle can be constructed.A triangle with angles measuring 22° and 105° and a nonincluded side of length 16 cm.

A. Two or more noncongruent triangles can be constructed. B. No triangle can be constructed. C. Exactly one triangle can be constructed.

Mathematics

Solve. = x + 6

A. -4 B. -3 C. 5 D. 4

Mathematics