Solve the problem.The minimum length L of a highway sag curve can be computed by L = ,where ?1 is the downhill grade in degrees (?1 < 0°), ?2 is the uphill grade in degrees (?2 > 0°), S is the safe stopping distance for a given speed limit, h is the height of the headlights, and ? is the alignment of the headlights in degrees. Compute L for a 55-mph speed limit, where   

style="vertical-align: -8.0px;" />  and  Round your answer to the nearest foot.



A. 846 ft

B. 869 ft

C. 824 ft

D. 893 ft

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Answer: A

Mathematics

Find the zero of the linear function.f(x) = -3x + 4

A. -1
B. - 
C. 1
D.

Write the equation that results in the desired transformation.The graph of y = x2, vertically stretched by a factor of 9

A. y = 9(x - 9)x2 B. y = (x - 9)2 C. y = 9x2 D. y = -9x2

Find the relative extrema of the function and classify each as a maximum or minimum.f(x) = -x3 + 15x2 - 72x + 3

A. Relative maximum: , relative minimum: 
B. Relative minimum: , relative maximum: 
C. Relative maximum: 
D. Relative minimum: 

Provide an appropriate response.A student was trying to solve the problem . The student knew that he should set  but was confused about whether or not he should set , or 2 = 0 and . How would you advise this student?

What will be an ideal response?