Solve the problem.Find the exponential function f that models this data. Round the coefficients to the nearest hundredth.

A. f(x) = (0.17)(567.57)x
B. f(x) = (527.34)(1.09)x
C. f(x) = (567.57)(0.17)x
D. f(x) = (1.09)(527.34)x


Answer: B

Mathematics

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Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.24xy - 7y2 + 36 = 0

A. ? = 36.9°
  -  = 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ±3)
B. ? = 36.9°
 -  = 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ±2)
C. ? = 36.9°
 -  = 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ± )
D. ? = 53.1°
 -  = 1
hyperbola
center at (0, 0)
transverse axis is the y'-axis
vertices at (0, ±2)

Mathematics

Graph the function.A manufacturer wants to build a cardboard box in the shape of a cube. The side of the cube s as a function of the area A of cardboard to be used is given by   He can use no more than 120 in.2 of cardboard, but wants to use at least 80 in2. Plot the graph of the function.

A.

B.

C.

D.

Mathematics

Find the indicated quantity.n, when a1 = 314, an = 67, and d = -19;

A. 12 B. 13 C. 14 D. 11

Mathematics

Factor by grouping.10a3 + 6a2b - 25ab2 - 15b3

A. (2a2 + 5b2)(5a - 3b) B. (2a2 - 5b)(5a + 3b) C. (2a2 - 5b2)(5a + 3b) D. (10a2 - 5b2)(a + 3b)

Mathematics