Use the Leading Coefficient Test to determine the end behavior of the polynomial function.f(x) = 3x3 + 4x3 - x5
A. y ? ? as x ? -? and y ? -? as x ? ?
B. y ? -? as x ? -? and y ? -? as x ? ?
C. y ? -? as x ? -? and y ? ? as x ? ?
D. y ? ? as x ? -? and y ? ? as x ? ?
Answer: A
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Solve the problem.Suppose a business can sell x gadgets for p = 250 - 0.01x dollars apiece, and it costs the business dollars to produce the x gadgets. Determine the production level and cost per gadget required to maximize profit.
A. 10,000 gadgets at $150.00 each B. 111 gadgets at $248.89 each C. 13,750 gadgets at $112.50 each D. 11,250 gadgets at $137.50 each
Use factoring techniques to solve the equation.x3 + 6x2 = 55x
A. {-11, 5} B. {-11, 0, 5} C. {11, 0, -5} D. {11, -5}
Find the area of the triangle. Round your answer to two decimal places as needed.
A. 92 in.2 B. 460 in.2 C. 230 in.2 D. 120 in.2
Solve each problem.Momma's ice cream shop sells three types of ice cream: soft-serve, chunky, and nonfat. Location I sells 30 gal of soft-serve, 80 gal of chunky, and 30 gal of nonfat ice cream each day. Location II sells 35 gal of soft-serve and Location III sells 60 gal of soft-serve each day. Daily sales of chunky ice cream are 90 gal at Location II and 120 gal at Location III. At Location II, 19 gal of nonfat are sold each day, and 40 gal of nonfat are sold each day at Location III.Write a 3 × 3 matrix that shows the sales figures for the three locations, with the rows representing the three locations. The incomes per gallon for soft-serve, chunky, and nonfat ice cream are $4, $5, and $4, respectively. Write a 3 × 1 matrix displaying the incomes. Find a matrix product that gives
the daily income at each of the three locations.
A.
B.
C.
D.