Solve the problem.The table shows the number of dollars spent in Country X (in millions) on environmental protection programs during the years  through . Use least-squares regression to find the polynomial function that best models these data. Round coefficients to three decimal places. 

A. f(x) ? -0.010x2 + 0.346x + 5.253
B. f(x) ? 0.007x3 - 0.105x2 + 0.805x + 4.397
C. f(x) ? 0.005x3 - 0.102x2 + 0.805x + 4.697
D. f(x) ? -0.010x2 + 0.446x + 5.759


Answer: C

Mathematics

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Solve the problem.The graph shows the relationship between the area A of a rectangle and the length L, if the width is fixed. Find the area if the length is 12 cm.

A. 252 cm2 B. 180 cm2 C. 162 cm2 D. 216 cm2

Mathematics

Add or subtract as indicated. Express the answer as a single polynomial in standard form.(6x5 - 12x3 - 8) - (8x3 + 3x5 - 2)

A. 3x5 - 9x3 - 10 B. 3x5 - 20x3 - 6 C. 3x5 - 20x3 - 10 D. -23x8

Mathematics

Determine a formula for the exponential function.

A. f(x) = 17.15 ? 1.3x B. f(x) = 35 ? 0.7x C. f(x) = 17.15 ? 0.7x D. f(x) = 24.5 ? 1.7x

Mathematics

Solve the problem.The amount of water (in gallons) in a leaky bathtub is given in the table below. Using a graphing utility, fit the data to a third degree polynomial (or a cubic). Then approximate the time at which there is maximum amount of water in the tub, and estimate the time when the water runs out of the tub. Express all your answers rounded to two decimal places.

A. maximum amount of water after 5.37 minutes; water runs out after 11.06 minutes B. maximum amount of water after 8.23 minutes; water runs out after 19.73 minutes C. maximum amount of water after 5.31 minutes; water never runs out D. maximum amount of water after 5.31 minutes; water runs out after 8.23 minutes

Mathematics