Find the vertex, the focus, and the directrix of the parabola.y = -2x2 - 16x - 27 = 0

A. V: ; F: (-4, 3); D: x = 7
B. V: ; F: ; D: x = 
C. V: ; F: (-4, -3); D: x = -13
D. V: (-4, 5); F: ; D: y = 


Answer: D

Mathematics

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Rewrite the expression in terms of exponentials and simplify the results.10 cosh (ln x)

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B. 0
C. 5x
D. 5

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When the graph of directed distance is decreasing, what can be said about the graph of velocity?

A. It lies above the horizontal axis. B. It lies below the horizontal axis. C. It lies on the horizontal axis. D. The graph of velocity is increasing.

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Perform the indicated operations in the proper order.

A. 1
B. 4
C. - 1
D.

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Some hot water, initially at C, is placed in a room with a temperature of C.  The temperature T of the water after t hours is given by 

src="https://sciemce.com/media/3/ppg__cognero__5.2_Applications_of_Exponential_Functions__media__b7419433-e23e-4775-a2c5-1a54d650c647.PNG" class="wirisformula" align="middle" style="vertical-align: middle;" data-wiris-created="true" varid="variable_id_field" variablename="impvar_66c4ed7d53a947288358f0742" />.  Find the temperature in 2.3 hours. Round your answer to the nearest hundredths.
??

A. C
B. C
C. C
D. C
E. C

Mathematics