Provide an appropriate response.
Simplify the expression: (6x2 + 3x) + (2x2 - 5x)
A. 8x2 - 2x
B. 6x3
C. 8x2 - 8x
D. 8x4 - 2x2
Answer: A
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Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 4 cos t, y = 4 sin t, ? ? t ? 2?
A. x2 + y2 = 1
Clockwise from (1, 0) to (1, 0), one rotation
B. x2 + y2 = 16
Counterclockwise from (-4, 0) to (4, 0)
C. x2 + y2 = 16
Clockwise from (4, 0) to (-4, 0)
D. x2 + y2 = 16
Counterclockwise from (4, 0) to (4, 0), one rotation
Solve the problem.A field microphone used at a soccer game has a parabolic cross section and is 24 in. wide at the opening. The focus is 4 in. from the vertex. Find the depth of the microphone. Round your answer to the nearest hundredth inch.
A. 36.00 in. B. 144.00 in. C. 9.00 in. D. 4.00 in.
Provide an appropriate response. Determine which ordered pair is NOT a solution for the equation:2x = 5y - 4
A. 
B. 
C. 
D. (-2, 0)
Write the inequality in interval notation.x ? -5
A. [-5, ?] B. [-5, ?) C. (-5, ?) D. (-?, -5]