Solve the problem.During rush hours, substantial traffic congestion is encountered at the intersections shown inthe figure. The arrows indicate one-way streets. As the figure shows, 200 cars per hour come down   to intersection A, and 800 cars per hour come down  to intersection A. x of these cars leave A on  and w cars leave A on  -4.0px;" />  800 in 600 out    200 out 400 in  5th Street 6th StreetThe number of cars entering intersection A must equal the number leaving, so that  or   By writing an equation representing the traffic entering and leaving each of the intersections A, B, C, and D, obtain a system of four equations. Solve the system using w as the parameter and use your answer to determine the largest and smallest possible values for the number of cars leaving intersection D on R Street.



A. 1000; 100

B. 1100; 0

C. 1000; 0

D. 1100; 100


Answer: D

Mathematics

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Translate the word phrase into an algebraic expression. Explain what the variable represents.A woman's weight increased by 32

A. w + 32, where w represents the woman's weight
B. w - 32, where w represents the woman's weight
C. , where w represents the woman's weight
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Find the vertex and axis of symmetry of the graph of the function.f(x) = x2 + 6x

A. (9, -3); x = 9 B. (-9, 3); x = -9 C. (-3, -9); x = -3 D. (3, -9); x = 3

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Write the equation of a sine function that has the given characteristics.Amplitude: 4Period: ?Phase Shift: 

A. y = 4 sin (2x - 7)
B. y = 4 sin 
C. y = sin (4x + 7)
D. y = 4 sin 

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Solve the problem.John has received scores of 85, 88, 87, and 75 on her algebra tests. What is the minimum score he must receive on the fifth test to have an overall test score average of at least 83? (Hint: The average of a list of numbers is their sum divided by the number of numbers in the list.)

A. 80 B. 81 C. 78 D. 79

Mathematics