Show that for any positive number ? we can find a positive number ? such that the statement below is satisfied.6x - 7 is less than ? away from 5 whenever x is less than ? away from 2.

A. ? = 
B. ? = 
C. ? = 
D. ? = 


Answer: B

Mathematics

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Find the equation of the tangent to the curve at the given point.

Mathematics

Use the Binomial Theorem to expand the binomial and express the result in simplified form.(x2 - 5y)4

A. x8 - 5x6y + 150x4y2 - 250x2y3 + 625y4 B. x8 - 20x6y + 150x4y2 + 20x2y3 + 625y4 C. x8 - 20x6y + 150x4y2 - 500x2y3 + 625y4 D. x4 - 20x3y + 150x2y2 - 500xy3 + 625y4

Mathematics

A plane is flying with an airspeed of 160 miles per hour and heading of 140°. The wind currents are running at 41 miles per hour at 155° clockwise from due north. Use vectors to find the true course and ground speed of the plane. ? Apply the rules regarding the use of significant digits after all computations are complete. ?

A. 196 mph with heading 147° B. 200 mph with heading 145° C. 190 mph with heading 143° D. 190 mph with heading 145° E. 200 mph with heading 143°

Mathematics

Solve the problem.Let A =  and B = . Find A - 2B.

A.

B.

C.

D.

Mathematics