Solve the problem.AAA Technology finds that the total revenue function associated with producing a new type of computer chip is  and the total cost function is  where x represents the number of units of chips produced. Find the total profit function, P(x) .

A. P(x) = -0.03x2 + 6x - 58
B. P(x) = -0.03x2 + 6x + 82
C. P(x) = -0.03x2 - 6x + 58
D. P(x) = 0.03x2 + 6x + 60


Answer: C

Mathematics

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Does the problem involve permutations or combinations? Do not solve.In a student government election, 5 seniors, 2 juniors, and sophomores are running for election. Students elect four at-large senators. In how many ways can this be done?

A. permutations B. combinations

Mathematics

Determine what the next equation would be, and verify that it is indeed a true statement.(1 × 9) - 6 = 3(21 × 9) - 6 = 83(321 × 9) - 6 = 2883

A. (432 × 9) - 6 = 38,883 B. (4,321 × 9) - 6 = 3882 C. (4,321 × 9) - 6 = 28,883 D. (4,321 × 9) - 6 = 38,883

Mathematics

Given that p and q each represents a simple statement, write the indicated compound statement in its symbolic form.p: Manuel is Carmen's brother.q: Carmen is Manuel's sister. Manuel is not Carmen's brother if and only if Carmen is not Manuel's sister.

A. ~ p ? ~ q B. p ? ~ q C. ~ p ? ~ q D. ~ p ? ~ q

Mathematics

Solve.An arch in the shape of the upper half of an ellipse is used to support a bridge spanning a creek 30 feet wide. The center of the arch is 9 feet above the center of the creek. Write the equation for the ellipse in which the x-axis coincides with the road and the y-axis passes through the center of the arch.

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics