Simplify the expression.y-6y4
A.
B.
C.
D. y10
Answer: B
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Use inductive reasoning to predict the next line in the pattern. Then perform the arithmetic to determine whether your conjecture is correct. 8(5) = 10(5 - 1) 8(5) + 8(25) = 10(25 - 1) 8(5) + 8(25) + 8(125) = 10(125 - 1)8(5) + 8(25) + 8(125) + 8(625) = 10(625 - 1)
A. 8(5) + 8(25) + 8(125) + 8(625) + 8(3125) = 10(3125 - 1) B. 8(5) + 8(25) + 8(125) + 8(625) + 8(1250) = 10(1250 - 1) C. 8(5) + 8(25) + 8(125) + 8(625) + 8(3125) = 8(3125 - 1) D. 8(5) + 8(25) + 8(125) + 8(625) + 8(5000) = 10(5000 - 1)
Find the partial derivative of the dependent variable or function with respect to each of the independent variables.f(x, y) = sin2 (4xy2 - y)
A. = 8y2sin (4xy2 - y) cos (4xy2 - y);
= 2sin (4xy2 - y) cos (4xy2 - y)
B. = 8y2sin (4xy2 - y) cos (4xy2 - y);
= (16xy - 2) sin (4xy2 - y) cos (4xy2 - y)
C. = 2sin (4xy2 - y) cos (4xy2 - y);
= 2sin(4xy2 - y) cos(4xy2 - y)
D. = 2sin (4xy2 - y) cos (4xy2 - y);
= (16x - 2) sin (4xy2 - y) cos (4xy2 - y)
Determine whether the ordered pair is a solution for the given equation.14x - 6y = -72; (-3, 5)
A. Yes B. No
Find the standard equation of the parabola that satisfies the given conditions. Vertex: (1, -3); directrix: x = -3
A. (x + 3)2 = 16(y - 1) B. (y + 3)2 = 16(x - 1) C. (x - 1)2 = -16(x + 3) D. (y + 3)2 = -16(x - 1)