ParthKohli
  • ParthKohli
Why is my answer wrong? Consider the function on the integers given by \(f(x,y)=x^2y\). How many ordered pairs of integers satisfying \(−16\le x,y\le16\) is \(f(x,y)=f(y,x)\)?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
ParthKohli
  • ParthKohli
\[f(x,y)=f(y,x) \Rightarrow y^2x = x^2 y \]I observed that \(x\) and \(y\) cannot be negative here. So I am left with numbers ranging from \(0\) to \(16\). That gives me \(17\).
ParthKohli
  • ParthKohli
Are there any other ordered pairs where \(x \ne y\)?
ParthKohli
  • ParthKohli
ZOMG, wait.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

ParthKohli
  • ParthKohli
\((-4)^2 \times -4 = (-4)^2 \times -4\)
ParthKohli
  • ParthKohli
Facepalm. They can be negative.
anonymous
  • anonymous
PING and the light turns on!
anonymous
  • anonymous
:D
ParthKohli
  • ParthKohli
lol yeah. That fetches me \(17 + 16 = 33\)
ParthKohli
  • ParthKohli
Is 33 correct?
anonymous
  • anonymous
no
ParthKohli
  • ParthKohli
Aww.
anonymous
  • anonymous
you have 33+16+16=?
ParthKohli
  • ParthKohli
Why is that so?
anonymous
  • anonymous
that many ordered pairs (0,?) and (?,0)
ParthKohli
  • ParthKohli
Oh, I'm stupid. Thanks man!
anonymous
  • anonymous
so, it'd be 33+32+32 ordered pairs
anonymous
  • anonymous
how many ways can you have 1) x=0 2) y=0 3) x=y
ParthKohli
  • ParthKohli
(1,1),(2,2)...(16,16) is 16. (-1,-1)...(-16,-16) is 16. (0,?) is 33. (?,0) is 33. 32 + 33 + 33 = 98 We overcounted a (0,0), so 32 + 32 + 33 = 97. Right?
anonymous
  • anonymous
Is this from brilliant.org?
ParthKohli
  • ParthKohli
@oldrin.bataku Yeah, practicing stuff :-)
anonymous
  • anonymous
this way you counted (0,0) twice
ParthKohli
  • ParthKohli
Am I not allowed to ask questions for practice?
ParthKohli
  • ParthKohli
@electrokid I subtracted it in the end.
anonymous
  • anonymous
right.
anonymous
  • anonymous
I'm not sure if you're allowed to ask for help on brilliant.org questions, at least publicly... :-p
perl
  • perl
yes you are allowed
perl
  • perl
and i am god
ParthKohli
  • ParthKohli
@oldrin.bataku But I think I'm just practicing techniques.
perl
  • perl
brilliant! 97 is the correct answer
anonymous
  • anonymous
o'course it'd be lol
perl
  • perl
u wbhi dheu dhee hee:)
anonymous
  • anonymous
@perl what?
ParthKohli
  • ParthKohli
@perl ?
perl
  • perl
i said, i enjoyed the problem
perl
  • perl
now i must go , there are babies to punish

Looking for something else?

Not the answer you are looking for? Search for more explanations.