Factor completely. State that the polynomial is prime if it cannot be factored.45x2 + 30xy + 5y2
A. 5(3x - 1y)(3x + 1y)
B. 5(3x + 1y)2
C. (15x + 5y)(3x + 1y)
D. 5(9x2 + 6xy + 1y)
Answer: B
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Find det A using the method of cofactors.A =
A. -567 B. 525 C. 567 D. -609
Simplify by first converting to rational exponents. Assume that all variables represent positive real numbers.
A.
B.
C. 6s9
D.
In the table, Y1 is defined as a quadratic function. Use the table to do the following: a. Determine the coordinates of the vertex of the graph. b. Determine whether the vertex is a minimum point or a maximum point. c. Find the minimum or maximum value of the function. d. Determine the range of the function.
A. a. (-3, 6); b. maximum; c. 6; d. (-?, 6] B. a. (6, -3); b. maximum; c. -3; d. (-?, -3] C. a. (6, -3); b. minimum; c. -3; d. [-3, ?) D. a. (-3, 6); b. minimum; c. 6; d. [6, ?)
Solve the system of equations using Cramer's Rule if it is applicable. If Cramer's Rule is not applicable, say so.
A. not applicable
B. x = 2, y = - ;
C. x = 8, y = 32; (8, 32)
D. x = 3, y = 4; (3, 4)