Sketch the graph and show all relative extrema and inflection points.y = 10x2 + 60x

A.

Relative minimum: (-6,-60)
No inflection points
B.


Relative minimum: (3,-90)
No inflection points
C.

Relative minimum: (-3,-90)
No inflection points
D.

Relative minimum: (6,-60)
No inflection points


Answer: C

Mathematics

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Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.x2 + 6x

A. 6; x2 + 6x + 6 = (x + 36)2 B. 36; x2 + 6x + 36 = (x + 6)2 C. 9; x2 + 6x + 9 = (x + 3)2 D. 3; x2 + 6x + 3 = (x + 9)2

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Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants.

A.  + 
B.  + 
C.  +  + 
D.  +  + 

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Graph the quadratic function using its vertex, axis of symmetry, and intercepts.f(x) = x2 + 8x + 7

A. vertex (-4, 9)
intercepts (-1, 0), (- 7, 0), (0, -7)

B. vertex (4, 9)
intercepts (1, 0), (7, 0), (0, -7)

C. vertex (-4, -9)
intercepts (-1, 0), (- 7, 0), (0, 7)

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intercepts (1, 0), (7, 0), (0, 7)

Mathematics