Find the equation of the axis of symmetry of the parabola.y = -2x2 + 12x - 16

A. x = -2
B. x = 2
C. x = -3
D. x = 3


Answer: D

Mathematics

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Provide an appropriate response.Consider the inequality x2 + y2 < 3x + y.(a) Find an equivalent inequality in polar coordinates.(b) Use an integral with respect to ? to find the area of the region defined by the inequality.(c) Find the length of the curve that forms the boundary of the region defined by the inequality.(d) Find the slope of this curve at the point (2, 2).

What will be an ideal response?

Mathematics

Write an equation in slope-intercept form of a line satisfying the set of conditions.Through (0, -6) and parallel to 

A. y = - x - 6
B. y = 9x + 6
C. y = -9x - 6
D. y = 9x - 6

Mathematics

Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = cos4 x

A. y = u4; u = cos x;  = 4 cos3 x sin x
B. y = cos u; u = x4 = - sin(x4)
C. y = cos u; u = x4 = - 4x3 sin(x4)
D. y = u4; u = cos x;  = - 4 cos3 x sin x

Mathematics

Solve the polynomial inequality. Express the solution in interval notation.x3 + 5x2 - 14x > 0

A. (-7, 0) ? (2, ?) B. (-2, 0) ? (7, ?) C. (-7, ?) D. (-?,-7) ? (0, 2)

Mathematics