mm3591 one year ago Given below is the even-number function. Which of the following are equal to E(12)? Check all that apply. E(n) = 2n A. E(8) + E(4) B. E(6) + 6 C. 14 D. 24

1. butterflydreamer

firstly we want to find out which of the following are equal to E(12) right? So we are given: |dw:1436372772695:dw|

2. butterflydreamer

2 times 12 = ? :)

3. mm3591

2 times 12 is 24

4. butterflydreamer

yep so E(12) = 24 |dw:1436372892353:dw| Then you want to test the other ones :) So |dw:1436372939161:dw|

5. mm3591

2 times 8 is 16 2 times 4 is 8 2 times 6 is 12

6. butterflydreamer

excellent :) so, |dw:1436373071855:dw| now we know, E ( 12 ) = 24 E ( 8 ) = 16 E ( 4 ) = 8 E ( 6 ) = 12 If we look at option A. " E ( 8 ) + E ( 4 )" . What would this equal to?

7. mm3591

E (12)

8. butterflydreamer

perfect :)! So we know option A and option D are correct. Now are option B and C correct?

9. mm3591

Option B is E (6)+ 6 so wouldn't that be E (12)?

10. mm3591

Option C isn't correct because it's not 24 or 12 so that can't be right, right?

11. butterflydreamer

well, we know E (12) = 24 right? :D We also know E ( 6 ) = 12 option B " E ( 6 ) + 6" = 12 + 6 = 18 :O So B would not be correct. And true :) option C isn't correct either!

12. butterflydreamer

does it make sense? ^_^

13. mm3591

Yes thank you!

14. butterflydreamer

you're welcome ^_^ and welcome to openstudy btw :)

15. mm3591

Thanks!

16. butterflydreamer

:).

17. mm3591

:)