Solve.The equation that represents the proper traffic control and emergency vehicle response availability in a small city is  where P is the number of police cars on active duty and F is the number of fire trucks that have left the firehouse in response to a call. In order to comply with staffing limitations, the equation  is appropriate. The number of police cars on active duty and the number of fire trucks that have left the firehouse in response to a call cannot be negative, so 

style="vertical-align: -4.0px;" /> and  Graph the regions satisfying all the availability and staffing requirements, using the horizontal axis for P and the vertical axis for F. If 8 police cars are on active duty and 2 fire trucks have left the firehouse in response to a call, are all of the requirements satisfied?



A.
 ; No
B.
; Yes
C.
; Yes
D.
 ; No


Answer: D

Mathematics

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Using Green's Theorem, find the outward flux of F across the closed curve C.F = (-5x + 2y)i + (6x - 9y)j; C is the region bounded above by y = -5x2 + 250 and below by  in the first quadrant

A. 17,430
B. - 9880
C. 17290
D. - 

Mathematics

Perform the computation.-20 + (-11)

A. -9 B. 31 C. -31 D. 9

Mathematics

Solve the problem.The total sales in dollars of some small businesses fluctuates according to the equation  where x is the time in months, with  corresponding to January,  and  Determine the month with the greatest total sales and give the sales in that month.

A. December; $8,800 B. March; $8,800 C. September; $3,800 D. June; $6,300

Mathematics

Use a graphing calculator to find the vertex and intercepts for the equation. If your answers are not exact, round to the nearest tenth.y = x2 - 7.3x + 9.31

A. x-intercepts: (1.6, 0) and (5.7, 0); y-intercept: (0, -9.31); Vertex: (3.7, -4) B. x-intercepts: (1.6, 0) and (5.7, 0); y-intercept: (0, 9.31); Vertex: (3.7, -4) C. x-intercepts: none; y-intercept: (0, 9.31); Vertex: (3.7, -4) D. x-intercepts: (1.6, 0) and (5.7, 0); y-intercept: (0, 9.31); Vertex: (-7.3, 9.3)

Mathematics