Quantity AIn the xy-plane, the x-intercept of the line determined by the equation y = x + 1Quantity B0
Answer(s): B
The x-intercept occurs where y = 0.Set 0 = x + 1 x = -1.0 is greater than -1.
RSTW is a parallelogram with x < 90.Quantity AThe area of the region enclosed by RSTWQuantity B50
Answer(s): D
The area of a parallelogram equals (base) × (height).Here, base RS = 9 and the adjacent side WR = 6, with included angle x at W, so height = 6 sin x.Area = 9 × (6 sin x) = 54 sin x.Since x < 90, sin x can be any value between 0 and 1, so the area can be any value between 0 and 54.Because 50 is within this range, the area could be less than, equal to, or greater than 50 depending on x.
x > y > zQuantity AyQuantity B1
x + y + z = 3.With x > y > z, y can be greater than 1, equal to 1, or less than 1 while keeping the sum 3 (e.g., y = 1.2 or y = 1 or y = 0.8 with suitable x and z).Therefore, the relationship between y and 1 cannot be determined.
In a survey of 150 computer owners, 98 owned a printer, 72 owned a digital camera, and all of them owned either a printer or a digital camera or both.Quantity AThe number of computer owners in the survey who owned a printer but did not own a digital cameraQuantity B78
Answer(s): C
Let P = 98 (printer), C = 72 (camera), and total = 150 with everyone in P C.Then |P C| = |P| + |C| - |P C| = 98 + 72 - 150 = 20.Printer only = |P| - |P C| = 98 - 20 = 78.Quantity A = 78, Quantity B = 78, so they are equal.
The interior of the figure shown is divided into two squares and three triangles.Quantity AxQuantity B56
Answer(s): A
The triangle with the 56° angle has two equal sides (both labeled m), so it is isosceles.The two base angles are equal and each isTherefore x = 62 > 56.
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