Fill in the blanks of the following proof by contradiction that 7+4 ? 2 is an irrational number. (You may use the fact that ? 2 is irrational.)
(i). rational
(ii). a and b are integers and b ?= 0
(iii). a ? 7b
(iv). (a ? 7b)/4b
(v). both a?7b and 4b are integers (since products and differences of integers are integers) and so ?2
would be a rational number
(vi). the supposition is false and the given statement is true.
Mathematics
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Convert the Hindu-Arabic numeral to Chinese.85
A. 
B. 
C. 
D. 
Mathematics
State the phrase as a mathematical expression. Use x to represent the variable.A number minus seven hundred five
A. x - 705 B. x + 705 C. 705x D. 705
Mathematics
Use the figure below. Determine whether the given statement is true or false. 
A + B + C + D + E = 0
A. True B. False
Mathematics
Translate using numbers and symbols.five times the difference of two and y
A. 5(y - 2) B. 5(2 - y) C. (5 - y) ? 2 D. 5 ? 2 - y
Mathematics