A binary operation ⊗ defined on the set of integer...
A binary operation ⊗ defined on the set of integers is such that m⊗n = m + n + mn for all integers m and n. Find the inverse of -5 under this operation, if the identity element is 0?
-5/4
-5/6
zero
5
Correct answer is A
m⊗n=m+n+mn
Let the inverse of -5 be n.
\therefore -5 \otimes n = 0
-5 + n + (-5n) = 0
n - 5n = 5 \implies -4n = 5
n = -\frac{5}{4}
A man stands on a tree 150cm high and sees a boat at an angle of depression of 74°. Find the dis...
Simplify 2\frac{5}{12} - 1\frac{7}{8} x \frac{6}{5}...
Simplify log101.5 + 3 log102 − log100.3...
A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)? ...
Which inequality describes the graph above? ...
Given that tan x = \frac{2}{3}, where 0o d" x d" 90o, Find the value of 2sinx....