1.) Each member of your group was asked to evaluate the two expressions. A = 4x²-81 and B=(2x-9) (2x +9) when x-2. As a leader, which of the following responses from your group mates will you consider as the correct answer of your group:
Ana: A > B Alice: AB Anton: A B
A. Ana B. Alice C. Anton
Ariel: A B
D. Ariel
2.) The volume of a rectangular prism is 125 + x² cm². If its height is (25-5x+x²) centimeters, what is the area of its base?
A. (5+x)cm²
B. (25+x)cm²
C. (5-x)cm²
D. (25-x)cm²
Ana: A > B Alice: AB Anton: A B
A. Ana B. Alice C. Anton
Ariel: A B
D. Ariel
2.) The volume of a rectangular prism is 125 + x² cm². If its height is (25-5x+x²) centimeters, what is the area of its base?
A. (5+x)cm²
B. (25+x)cm²
C. (5-x)cm²
D. (25-x)cm²
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Answer:
A=B
4x²-81
4(2)²-81
4(4)-81
16-81
= -65
(2x-9)(2x+9)
[2(2)-9][2(2)+9]
(4-9)(4+9)
(-5)(13)
= -65
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