Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. 2x - 7y = 5-6x + 21y = -20
A.
B. {(3, 4)}
C. {(x, y)| 2x - 7y = 5}
D. ?
Answer: D
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Sketch the curve.The equation of an ellipse with center (h, k) and major axis parallel to the x-axis is Sketch the ellipse that has a major axis of 12, a minor axis of 10, and for which (h, k) is (-3, 3).
A.
B.
C.
D.
Solve the problem.Tides go up and down in a 14.8-hour period. The average depth of a certain river is 7 m and ranges from 4 to 10 m. The variation can be approximated by a sine curve. Write an equation that gives the approximate variation y, if x is the number of hours after midnight and high tide occurs at 5:00 am.
A. y = 7 sin
B. y = 3 sin
C. y = 3 sin
D. y = 7 sin
Factor the polynomial.15z2 - 14z - 8
A. (3z - 4)(5z + 2) B. (15z - 4)(z + 2) C. (3z + 4)(5z - 2) D. prime
Find the standard form of the equation of the parabola using the information given.Focus: (2, 5); Directrix: y = -3
A. (y - 1)2 = 16(x - 2) B. (x - 1)2 = 16(y - 2) C. (x - 2)2 = 16(y - 1) D. (y - 2)2 = 16(x - 1)