Graph the equation and its tangent.Graph y = x2 - 2x - 6 and the tangent to the curve at the point whose x-coordinate is -2.

A.

B.

C.

D.


Answer: D

Mathematics

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Solve.Assume that in 1985, the annual consumption of pork was about 53 lb per person and that in 1997, it was about 38 lb per person. In addition, assume that consumption is decreasing according to the exponential decay model. Find the value k, and write an exponential function that describes pork consumption after time t, in years. (Round decimals to three places.)

A. k = 0.028; C(t) = 53e-0.028t, where t is the number of years since 1985. B. k = 0.303; C(t) = 53e0.303t, where t is the number of years since 1985. C. k = 0.028; C(t) = e-0.028t, where t is the number of years since 1985. D. k = -0.028; C(t) = 53e-0.028t, where t is the number of years since 1997.

Mathematics

Solve the problem.A rectangular piece of cardboard measuring 20 inches by 39 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let x represent the length of a side of each such square. What is the maximum volume of this box? If necessary, round to 2 decimal places.

A. 1364.09 in.3 B. 631.5 in.3 C. 29,578.83 in.3 D. 1490.83 in.3

Mathematics

Solve the equation and check your solution.-5x = -30

A. x = 25 B. x = 6 C. x = -25 D. x = 2

Mathematics

The lists below show five agricultural crops in Alabama, Arkansas, and Louisiana.AlabamaArkansasLouisianasoybeans (s)soybeans (s)soybeans (s) peanuts (p)rice (r)sugarcane (n)corn (c)cotton (t)rice (r)hay (h)hay (h)corn (c)wheat (w)wheat (w)cotton (t)Let U be the smallest possible set that includes all of the crops listed; and let A, K, and L be the sets of five crops in Alabama, Arkansas, and Louisiana, respectively. Find the indicated set.L ? K

A. {c, h, n, w} B. {c, h, n, r, s, t, w} C. {r, s, t} D. {c, n, r, s, t}

Mathematics