Provide an appropriate response.A student claims that 
always exists, as long as a and b are both positive. Refute this by giving an example of a function for which this is not true.
What will be an ideal response?
Answers will vary, but f(x) = 
where a < c < b and d a positive integer is a family of examples.
Mathematics
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Use a tree diagram to answer the question.Using a tree diagram that shows how many ways a nickel, a dime, and a quarter can be flipped, determine how many ways you can get exactly two heads.
A. 3 B. 5 C. 4 D. 2
Mathematics
Factor by grouping.15a3 + 12a2b - 25ab2 - 20b3
A. (3a2 + 5b2)(5a - 4b) B. (3a2 - 5b2)(5a + 4b) C. (15a2 - 5b2)(a + 4b) D. (3a2 - 5b)(5a + 4b)
Mathematics
Provide an appropriate response.Is it possible or not possible to set up a one-to-one correspondence between ? and 
A. Possible B. Not possible
Mathematics
Multiply and simplify.
? 
A. 1
B. 
C. -1
D. 0
Mathematics