Simplify the expression.(12z + 7) - (4z - 5)

A. 8z + 12
B. 16z + 12
C. 8z - 12
D. 8z + 2


Answer: A

Mathematics

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Write as an equivalent addition statement. (Do not evaluate.)21 - (-33)

A. 21 + (-33) B. -21 + (-33) C. -21 + 33 D. 21 + 33

Mathematics

Find the indicated derivative.Find fx  f(x,y,z) = 5x4y4 + 8x10z6 + 10y4

A. 20x3 + 80x9  B. 20x3y4 + 80x9z6  C. 80x3y3 + 480x9z5 D. 20x4y3 + 48x10z5 

Mathematics

Solve.Each day the commuter train transports x passengers to or from the city at $1.75/passenger. The daily fixed cost for running the train is $1200. Write an equation that relates the daily profit, P, in dollars to the number of passengers each day. Then use the equation to find the daily profit when the train has 920 passengers in a day.

A. P = 1200 - 1.75x; $410 B. P = 1.75x; $1610 C. P = 1.75x - 1200; $410 D. P = 1.75x + 1200; $2810

Mathematics

Calculate the unit vector u = (cos ?)i + (sin ?)j for the given direction angle.? = 

A. - i - j
B. i + j
C. i + j
D. i + j

Mathematics