Provide the proper response.Three receiving stations record the presence of an earthquake. The location of the receiving center and the distance to the epicenter are contained in the following three equations.(x - 3)2 + (y - 2)2 = 25,(x + 1)2 + (y + 3)2 = 16,(x - 6)2 + (y + 3)2 = 9.Determine the location of the earthquake epicenter.

What will be an ideal response?


The epicenter is at (3, -3).

Mathematics

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Use a grapher to find the vertex, rounding to the nearest hundredth when necessary.f(x) = x2 + x + 5

A. (0.5, -4.75) B. (0.5, 4.75) C. (-0.5, 5) D. (-0.5, 4.75)

Mathematics

Provide an appropriate response.Write the following in terms of ln(x + 2) and ln(x + 4): ln 

What will be an ideal response?

Mathematics

Solve the problem.It is estimated that the total value of a stamp collection is given by the formula  where t is the number of years from now. If the inflation rate is running continuously at 4% per year so that the (discounted) present value of an item that will be worth $v in t years' time is given by  Sketch the graph of the discounted value as a function of time at which the stamp collection is sold. The graph has one local minimum. What is the value of t at the local minimum? What is the discounted value of the collection at that time?

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A. ; at which time the discounted value is .
B. ; at which time the discounted value is .
C. ; at which time the discounted value is .
D. ; at which time the discounted value is .

Mathematics

Simplify the expression. Assume that all variables are positive when they appear.12  - 3x

A. 12 - 3x
B. 9x
C. 15
D. 9x

Mathematics