Provide an appropriate response.Under what circumstances can a system of equations be solved more easily by graphing than by substitution?
What will be an ideal response?
A system of equations would be solved more easily by graphing than by substitution when there are integer solutions and the substitution method requires extensive computations with fractions.
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Find the amplitude, period or displacement.Find the amplitude of y = 5 sin (3x + ?).
A. 15 B. 3 C. 5 D. ?
Solve the problem.The arch beneath a bridge is semi-elliptical, a one-way roadway passes under the arch. The width of the roadway is 34 feet and the height of the arch over the center of the roadway is 14 feet. Two trucks plan to use this road. They are both 8 feet wide. Truck 1 has an overall height of 
and Truck 2 has an overall height of 
. Draw a rough sketch of the situation and determine which of the trucks can pass under the bridge.
A. Truck 2 can pass under the bridge, but Truck 1 cannot. B. Both Truck 1 and Truck 2 can pass under the bridge. C. Truck 1 can pass under the bridge, but Truck 2 cannot. D. Neither Truck 1 nor Truck 2 can pass under the bridge.
Solve the problem.An object will take t seconds to drop d ft, where t = 
. What distance will the object drop in 
sec?
A. 52 ft B. 13 ft C. 104 ft D. 26 ft
In a certain city there is a river running through the middle of the city. There are three islands and nine bridges as shown in the figure below.
In the graph that models this situation, the degree of the vertex that represents island A is
A. 3. B. 4. C. 2. D. 1. E. none of these