Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime.7x2 - 27x + 4
A. (7x - 1)(x + 4)
B. (7x + 1)(x - 4)
C. (7x - 4)(x + 1)
D. prime
Answer: D
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Find the domain and range and describe the level curves for the function f(x,y).f(x, y) =
A. Domain: all points in the xy-plane; range: real numbers 0 ? z ? 10; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 10
B. Domain: all points in the xy-plane; range: all real numbers; level curves: circles with centers at
C. Domain: all points in the xy-plane satisfying x2 + y2 ? 100; range: real numbers 0 ? z ? 10; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 10
D. Domain: all points in the xy-plane satisfying x2 + y2 = 100; range: real numbers 0 ? z ? 10; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 10
Find the exact value under the given conditions.sin ? = ,
< ? < ?; cos ? =
, 0 < ? <
Find sin (? - ?).
A. -
B.
C.
D.
Graph the inequality.x2 + y2 ? 25
A.
B.
C.
D.
Decide whether or not the equation has a circle as its graph. If it does not, describe the graph.x2 + y2 + 6x - 18y + 90 = 0
A. no; the graph is nonexistent B. yes C. no; the graph is the point (-3, 9) D. no; the graph is the point (3, -9)