Question

for all integers r and s, let r#s=4r-3s. which of the following must be true?
I. 4#3=7
II. (1#0)#2=1#(0#2)
III. r#s=s#r

Answer 1

r#s=4r-3s

4#s
means r=4, s=3

= 4*4 - 3*3
is it = 7
?

Answer 2

do you mean the answer is only I ?? @hartnn

Answer 3

1 is true

i didn't check II.
did u?

Answer 4

III. is not true

Answer 5

1#0 =4
4#2 = 10

0#2 =-6
1#-6 = 4+18 = 22

so II is not true

Answer 6

only I is true...unless i did some careless calculation mistake :P
verify it...

Answer 7

can i know whats the function of # ?

Answer 8

its already defined!

\( r\#s=4r-3s \)

Answer 9

in words,
"multiply first number by 4, 2nd number by 3 and take the difference"

Answer 10

ohh i got it now thank you @hartnn

Answer 11

welcome ^_^