Solve. A company produces three sizes of dog houses, small, medium, and large. The small sells for $80, the medium sells for $110, and the large sells for $140. The small costs $53 to produce, the medium costs $65, and the large costs $77. Let x represent the number of small dog houses, y represent the number of medium dog houses, and z represent the number of large dog houses sold in a given month. Write an expression for the net profit.
A. -27x - 45y - 63z
B. 27x + 45y + 63z
C. 25x + 48y + 78z
D. -25x - 48y - 78z
Answer: B
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Solve the problem.The pitch P of a musical tone varies inversely as its wavelength W. One tone has a pitch of 408 vibrations per second and a wavelength of 5.6 ft. Find the wavelength of another tone that has a pitch of 340 vibrations per second.
A. 0.15 ft B. 0.00004 ft C. 6.7 ft D. 24,771.4 ft
Perform the indicated operation.(3a - b)3
A. 27a3 -27a2b + 9ab2 - b3 B. 27a3 - 9a2b + 3ab2 - b3 C. 27a3 - b3 D. 27a3 - 27a2b - 9ab2 - b3
Write the equation of a sine function that has the given characteristics.The graph of y = , shifted 6 units upward
A. y =
B. y =
C. y = - 6
D. y = + 6
Factor, if possible.5x2 + 31x + 30
A. (5x - 6)(x - 5) B. (5x - 6)(x + 5) C. (5x + 6)(x + 5) D. (x + 6)(x + 5)