Factor the trinomial that is a perfect square. If it is not a perfect square, respond "not a perfect square."25x2 + 70xy + 49y2
A. not a perfect square
B. (5x + 7y)(5x - 7y)
C. (5x + 7)2
D. (5x - 7)2
Answer: C
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Determine whether the argument is valid or invalid. If valid, name the type of reasoning and if invalid, determine the error in reasoning.No students are enthusiastic.You are enthusiastic.Therefore, you are not a student.
A. invalid, false chain pattern B. valid, direct C. valid, indirect D. invalid, fallacy of the converse E. invalid, fallacy of the inverse
Suppose that 30% of all small businesses are undercapitalized, 40% of all undercapitalized small business fail, and 20% of all small businesses that are not undercapitalized fail. A small business is chosen at random. Find the probability that the small business is not undercapitalized and yet fails.
A. 0.12 B. 0.20 C. 0.40 D. 0.14 E. none of these
Sarah lives in a part of the country where there are droughts. Consequently, the water company increases the cost per ccf of water based on usage. The piecewise function shows the rate schedule.
If Sarah used 210 ccf of water last month, what was she charged?
A. $37.80 B. $38.80 C. $39.80 D. $47.00
Find 
.f(x) = 
A. 
B. 
C. 
D. 