Find the vertices of the hyperbola.(y + 4)2 - 16(x + 1)2 = 16

A. (-1, -8) and (-1, 0)
B. (1, 0) and (1, 8)
C. (0, -7) and (0, 1)
D. (1, -4) and (-1, 4)


Answer: A

Mathematics

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The graph of the derivative (x) a continuous function f is shown. On what intervals is f decreasing?

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Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log5 

A. 3log55 - log5(x - 1)
B. log5125 - log5
C. 3 - log5(x - 1)
D. 3 - log5

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Write the logarithmic equation as an exponential equation.ln 1 = 0

A. e0 = 1 B. e1 = 0 C. e1 = 1 D. 1e = 0

Mathematics

Solve the problem.The following table shows the market prices per pound that a trucker can get for his load of fruit in three cities: San Francisco (S.F.), Las Vegas (L.V.), and Los Angeles (L.A).The trucker has a load of 6000 pounds of peaches and 3000 pounds of apples. Write the information from the table as a 2 x 3 matrix B. Write a row matrix A for which the entries represent the number of pounds of each type of fruit in the truck. If , find c11. What does this entry of C represent?

A. c11 = 3250. c11 represents the total value of the load in Las Vegas. B. c11 = 4200. c11 represents the total value of the load in San Francisco. C. c11 = 3600. c11 represents the total value of the load in Las Vegas. D. c11 = 6000. c11 represents the total value of the load in San Francisco.

Mathematics