The graph of two equations along with the points of intersection are given. Substitute the points of intersection into the systems of equations. Are the points of intersection solutions to the system of equations (Y/N)?
x2 + y2 = 522y+3x = 0
A. Yes
B. No
Answer: A
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Solve the problem.A bank teller has some five-dollar bills and some twenty-dollar bills. The teller has 10 more of the twenties. The total value of the money is $800. Find the number of five-dollar bills that the teller has.
A. 14 five-dollar bills B. 34 five-dollar bills C. 44 five-dollar bills D. 24 five-dollar bills
Find the vertex of the parabola.y = -3x2 - 6x - 3
A. (1, 0) B. (-1, 0) C. (0, -1) D. (0, 1)
Solve the given differential equation. (The form of yp is given.)D2y - 2Dy + y = 2x + x2 + sin 5x(Let yp = A + Bx + Cx2 + E sin 5x + F cos 5x.)
A. y = c1ex + c2xex + 10 + 6x + x2 + 
sin 5x + 
cos 5x
B. y = c1ex + 10 + 6x + x2 - 
sin 5x + 
cos 5x
C. y = c1ex + c2xex + 10 + 6x + x2 - 
sin 5x + 
cos 5x
D. y = c1ex + c2xex + 10 + 6x + x2 - 
cos 5x + 
sin 5x
Solve the problem.Rachel's bus leaves at 7:25 PM and accelerates at the rate of 3 meters per second per second. Rachel, who can run 8 meters per second, arrives at the bus station 3 seconds after the bus has left. Find parametric equations that describe the motions of the bus and Rachel as a function of time. Determine algebraically whether Rachel will catch the bus. If so, when?
A. Bus: x1 = 
t2, y1 = 2; Rachel: x2 = 8(t - 3), y2 = 4
Rachel will catch the bus at 7:30 PM
B. Bus: x1 = 
t2, y1 = 2; Rachel: x2 = 8(t - 3), y2 = 4
Rachel won't catch the bus.
C. Bus: x1 = 3t2, y1 = 2; Rachel: x2 = 4(t - 3), y2 = 4
Rachel will catch the bus at 7:29 PM
D. Bus: x1 = 
t2, y1 = 2; Rachel: x2 = 8(t + 3), y2 = 4
Rachel won't catch the bus.