Solve.John owns a hotdog stand. He has found that his profit is represented by the equation  with P being profits and x the number of hotdogs sold. How many hotdogs must he sell to earn the most profit?

A. 25 hotdogs
B. 28 hotdogs
C. 29 hotdogs
D. 50 hotdogs


Answer: B

Mathematics

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Solve the problem.The numbers on the right in the equations below are the hexagonal numbers. Use the sequence of equations to find a formula for hn, the nth hexagonal number. 1 = 1    1 + 5 = 6  1 + 5 + 9 = 15  1 + 5 + 9 + 13 = 28  ..............

A. hn = (n - 1)(2n + 1) B. hn = 2n(n - 1) C. hn = n(2n - 1) D. hn = n(2n + 1)

Mathematics

Given that f(x) = sin x, g(x) = cos x, and h(x) = tan x, evaluate the given function. The point (x, ), on the circle , also lies on the terminal side of an angle ? in standard position. The point , on the circle , also lies on the terminal side of an angle ? in quadrant IV. h(? - ?)

A.
B.  
C.
D.

Mathematics

Find an equation for the line that passes through the given point and satisfies the given conditions.P = (8, 8); perpendicular to v = 2i + 3j

A. 2x + 3y = 40
B. 2x + 3y = 13
C. y - 8 = (x - 2)
D. 3x - 2y = 8

Mathematics

Solve the problem.Bob wants to fence in a rectangular garden in his yard. He has 62 feet of fencing to work with and wants to use it all. If the garden is to be x feet wide, express the area of the garden as a function of x.

A. A = 33x2 - x B. A = 30x - x2 C. A = 31x - x2 D. A = 32x - x2

Mathematics