Find the average value over the given interval.y = 6 - x2; [-3, 1]

A. - 
B.
C. - 
D.


Answer: B

Mathematics

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Find the vertices and foci of the ellipse. +  = 1

A. Vertices: (±20, 0); Foci: ( ±16, 0) B. Vertices: (0, ±20); Foci: (0, ±16) C. Vertices: (0, ±20); Foci: (0, ±12) D. Vertices: (±16, 0); Foci: ( ±12, 0)

Mathematics

Let z vary jointly with x and y. Find the constant of variation k. Then, use  to find z when x = 5 and y = 7.z = 56 when x =  and y = 7

A. k = 15; z = 490 B. k = 14; z = 525 C. k = 48; z = 1,680 D. k = 56; z = 1,960

Mathematics

Decide whether the given functions are inverses.f = {(-9, 15), (6, 0), (0, 22), (15, -9)}g = {(15, -9), (0, 6), (22, 0), (-9, 15)}

A. No B. Yes

Mathematics

Graph the solution region for the system of inequalities and identify the corners of the region.

A.

B.

C.

D.

Mathematics