Solve.A rectangular box with volume 517 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the base in feet. Express the cost of the box as a function of x and then graph this function. From the graph find the value of x, to the nearest hundredth of a foot, which will minimize the cost of the box.
A. 8.79 feet
B. 8.83 feet
C. 8.91 feet
D. 8.49 feet
Answer: B
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Solve the problem.The average number of vehicles waiting in line at a toll booth of a super highway is modeled by the function , where x is a quantity between 0 and 1 known as the traffic intensity. To the nearest tenth, find the average number of vehicles waiting if the traffic intensity is 0.81.
A. 3.5 vehicles B. 1.6 vehicles C. 8.5 vehicles D. 6.9 vehicles
Find the vertex, focus, and directrix of the parabola. Graph the equation.x2 - 8x = 12y - 76
A. vertex: (4, 5)
focus: (1, 5)
directrix: x = 7
B. vertex: (4, 5)
focus: (4, 8)
directrix: y = 2
C. vertex: (4, 5)
focus: (7, 5)
directrix: x = 1
D. vertex: (4, 5)
focus: (4, 2)
directrix: y = 8
Simplify, if possible.
A.
B.
C.
D.
This model is of the form f(x) = mx + b. Determine what m and b signify.The value, in dollars, of a particular KX37B computer is given by V(x) = -227.19x + 3121, where x is the number of years the computer has been in existence.
A. -227.19 signifies the amount of depreciation in one year, and 3121 signifies the initial cost. B. -227.19 signifies the hourly cost of repairs, and 3121 signifies the cost of software. C. -227.19 signifies the number of computers owned, and 3121 signifies the cost of electricity. D. 3121 signifies the amount of depreciation in one year, and -227.19 signifies the initial cost.