Solve the problem.An open-top box is to be constructed from a 9 cm by 11 cm piece of cardboard by cutting out squares from each corner and folding up the sides as shown in the figure. Find the volume of the box for   and 2 cm. Which of these values for x produces the largest volume?) 

A. 45 cm3, 117 cm3, 278 cm3, 0.5 cm
B. 40 cm3, 79 cm3, 124 cm3, 0.5 cm
C. 41 cm3, 99 cm3, 286cm3, 2 cm
D. 40 cm3, 63 cm3, 70 cm3, 2 cm


Answer: D

Mathematics

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Determine the vertex, focus, and directrix of the parabola and sketch its graph.(x + 3)2 = -16(y - 1)

A. vertex: (3, -1)  
focus: (3, -5)  
directrix: y = 3

B. vertex: (1, -3)  
focus: (1, -7)  
directrix: y = 1

C. vertex: (-3, 1)  
focus: (-3, 5)  
directrix: y = -3

D. vertex: (-3, 1)  
focus: (-3, -3)  
directrix: y = 5

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During testing of a certain brand of air purifier, the amount of smoke remaining t min after the start of the test was   percent of the original amount. Compute . Round the answers to the

nearest thousandth.
?
__________% per minute
?
__________% per minute in the second power

What will be an ideal response?

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Solve the problem.A survey of 1234 people found that 340 people were planning to travel on Labor Day weekend. How many people were planning to stay home?

A. 794 people B. 1474 people C. 894 people D. 1574 people

Mathematics

Graph the system of inequalities, and find the coordinates of the vertices.y ? 4 - 2xx ? 1

A.

B.

C.

D.

Mathematics