Ask your own question, for FREE!
Mathematics 18 Online
OpenStudy (ibrafacts):

If k is an even integer, which of the following must be an odd integer?

OpenStudy (ibrafacts):

a. k + 2 b. 3k c. 3k + 2 d. k(k - 1) e. (k + 1) (k - 1)

OpenStudy (ibrafacts):

how would i do this?

OpenStudy (anonymous):

And even + an even is always an even

OpenStudy (ibrafacts):

so c

OpenStudy (anonymous):

That gets rid of one answer, you have to get rid of the rest

OpenStudy (ibrafacts):

oh d

OpenStudy (ibrafacts):

because an even times an even is always an even so u substract 1

OpenStudy (anonymous):

it's E

OpenStudy (anonymous):

One way to solve it is by assuming that k is 2, since 2 is even, and testing mit in all the equations

OpenStudy (ibrafacts):

okay thank you

OpenStudy (ibrafacts):

so all it has to do is end up odd right?

OpenStudy (anonymous):

Yes

OpenStudy (anonymous):

1 is odd and odd plus even is always odd

OpenStudy (welshfella):

3 times an even number is also even

OpenStudy (anonymous):

If odd is O and even is E, then O + E = O E + E = E O + O = E O x O = O O x E = E E x E = E

OpenStudy (welshfella):

expand the last one (k + 1)(k - 1) = k^2 - 1 even or odd? if k is even

OpenStudy (ibrafacts):

me?

OpenStudy (welshfella):

k^2 - 1 must be odd because k^2 will always be even

OpenStudy (anonymous):

\[k ^{2}\] is even, but \[k ^{2}-1 \] is odd

OpenStudy (ibrafacts):

the whole problem is odd right? because its zero if u solve it all

OpenStudy (joshiscool):

Need Help? http://dotstorming.com/topic/570171aef45290eb0029bb89

OpenStudy (anonymous):

\[2^{2}\] is 4

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!