Solve the system of equations (only real solutions) by the elimination method. Check your solutions.

A. {(2, 0), (3, 45)}
B. {(-2, 0), (-3, 9)}
C. {(1, 9), (-6, 72)}
D. {(2, 0), (-3, 9)}


Answer: C

Mathematics

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Write one or more inequalities that describe the set of points.The closed region bounded by the spheres of radius 9 and 10, both centered at the origin, and the planes  and 

A. 81 ? x2 + y2 + z2 ? 100 and 1 ? x ? 9 B. 9 ? x2 + y2 + z2 ? 10 and x = 1 and x = 9 C. 9 < x2 + y2 + z2 < 10 and x = 1 and x = 9 D. 81 < x2 + y2 + z2 < 100 and 1 < x < 9

Mathematics

Find the linearization L(x) of f(x) at x = a.f(x) = , a = 8

A. L(x) = x + 4
B. L(x) = x + 
C. L(x) = x + 
D. L(x) = x + 

Mathematics

Find the center of mass of the thin rod with the given density function.Find the center of mass of a thin rod that lies along the first-quadrant portion of the circleif the density of the rod is 

A.  = ?,  = ?
B.  = ?,  = ?
C.  = 0,  = ?
D.  = 2?,  = 2?

Mathematics

Graph the function. Identify the vertex, x-intercepts, and the equation for the axis of symmetry.f(x) = x2 + 4x - 7

A.

vertex: (- , - )
x-intercepts: (-4, 0) and (3, 0)
axis of symmetry: x = -  
B.

vertex: (4, 0)
x-intercept: (4, 0)
axis of symmetry: x = 4
C.

vertex: (-2, -11)
x-intercepts: (-2 ± , 0)
axis of symmetry: x = -2
D.

vertex: (-2, 3)
x-intercepts: none
axis of symmetry: x = -2

Mathematics