Find an equation for the ellipse described.Center at (0, 0); focus at (3, 0); vertex at (8, 0)

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1


Answer: B

Mathematics

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Solve.A painting was sold in 1985 for $ 1 million. The painting was then resold in 1996 for $ 8 million. Assume that the painting's value increases exponentially. Find the exponential growth rate k, and determine the exponential growth function, assuming V0 = 1. (Round decimals to three places.)

A. k = 0.189; V(t) = 1e0.189, where V(t) is in millions and t is the number of years after 1985. B. k = 0.173; V(t) = 1e0.173t, where V(t) is in millions and t is the number of years after 1985. C. k = 0.189; V(t) = 1e0.189t, where V(t) is in millions and t is the number of years after 1997. D. k = 0.189; V(t) = 1e0.189t, where V(t) is in millions and t is the number of years after 1985.

Mathematics

Find the partial fraction decomposition for the rational expression.

A.  + 
B.  + 
C.  + 
D.  + 

Mathematics

Write the fraction as an equivalent fraction with the indicated denominator. = 

A.
B.
C.
D.

Mathematics

Solve the quadratic equation using completing the square.2x2 + 2x = 24

A. {-12, 1} B. {-4, 3} C. {-4, 6} D. {4, -3}

Mathematics