Multiply, then simplify the product. Assume that all variables represent positive real numbers.( - 2)( - 3)

A. x + 6
B. x - 3 - 2 + 6
C. x + 6
D. x +  + 6


Answer: B

Mathematics

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Find the volume of the solid generated by revolving the shaded region about the given axis.About the y-axis

A. 20 - 5?
B. 20? - 5?2
C. 10? - ?2
D. 5? + 5?2

Mathematics

Provide an appropriate response.The shape of the main cable on a suspension bridge can be described by the function  where y is the height of the cable (in feet) above the roadbed and x is the horizontal distance (in feet) from the center of the bridge. A cross support passes by the cable, and its position can be described by the function  Where does the cross-support intersect the cable? Use a graphing calculator to answer the question by finding the point(s) of intersection of the two equations.

What will be an ideal response?

Mathematics

By graphing the function, visually estimate its domain and range.f(x) = 

A. Domain: (-?, -1] ? [1, ?); range: [0, ?) B. Domain: (-?, ?); range: [0, ?) C. Domain: (-?, -1] ? [1, ?); range: (-?, ?) D. Domain: [-1, 1]; range: [0, ?)

Mathematics

Plot and interpret the appropriate scatter diagram.The table shows the study times and test scores for a number of students. Draw a scatter plot of score versus time treating time as the independent variable. Effect of Study on Test ScoreTime (min)

A.  Effect of Study on Test Score

Time (min)
More time spent studying may increase
test scores.
B.  Effect of Study on Test Score

Time (min)
More time spent studying may increase
test scores.
C.  Effect of Study on Test Score

Time (min)
More time spent studying may decrease
test scores.
D.  Effect of Study on Test Score

Time (min)
More time spent studying may decrease
test scores.

Mathematics