Solve the equation.6n = 8(4n + 7)

A.  
B.  
C. -  
D.


Answer: C

Mathematics

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Provide an appropriate response.Two pieces of lumber, each 15 m long, are cut into a total of 50 pieces. How long is each piece? Assume no waste.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the problem.Ignoring friction, the time , t (in seconds), required for a block to slide down an inclined plane is given by the formula  where b is the length of the base in feet and  per second is the acceleration of gravity. How long does it take a block to slide down an inclined plane with a base of 12 feet at an angle of  Round your answer to three decimal places.

A. 0.354 sec B. 6.962 sec C. 0.868 sec D. 1.227 sec

Mathematics

Find the asymptotes of the hyperbola.7x2 - y2  - 42x + 4y - 53 = 0

A. y - 3 = (x - 2), y - 3 = -(x - 2)
B. y - 2 = (x - 3), y - 2 = -(x - 3)
C. y - 2 = 7(x - 3), y - 2 = -7(x - 3)
D. y - 2 = (x - 3), y - 2 = - (x - 3)

Mathematics

Sketch the graph and show all local extrema and inflection points.f(x) = 

A. Relative max:  
No inflection points


B. No relative extrema
Inflection point: (0, 0)


C. Relative minimum:  
No inflection points


D. No relative extrema
Inflection point: (0, 0)


Mathematics