Find the value of df-1/dx at x = f(a).f(x) = x + 9, a = 3

A.
B. 9
C.
D. 4


Answer: D

Mathematics

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Find the vertex, the focus, and the directrix of the parabola.x2 - 8x - 4y + 28 = 0

A. V: ; F: (4, 7); D: y = 1
B. V: ; F: (4, 2); D: y = 4
C. V: (- 4, 3); F: (4, 4); D: y = 2
D. V: ; F: (4, 4), D: y = 

Mathematics

Let T denote the temperature, in degrees, of a cup of coffee t seconds after it is placed on the counter to cool.  Let  denote, the difference, in degrees, between the temperature of the coffee and room temperature. Then D satisfies the equation of change.

? A: What can you conclude about the function ?B: If the temperature of the coffee is initially 186 degrees, find a formula that gives D in terms of t. Write your answer using the alternative form for an exponential function.C: Find a formula that gives T in terms of t. What will be an ideal response?

Mathematics

Solve the problem.Two airplanes leave an airport at the same time, one going northwest (bearing 135°) at 418 mph and the other going east at . How far apart are the planes after 4 hours (to the nearest mile)?

A. 2807 miles B. 2204 miles C. 702 miles D. 2337 miles

Mathematics

If the terminal point determined by t is , find sin t, cos t, cos t and tan t.

What will be an ideal response?

Mathematics