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Mathematics
OpenStudy (anonymous):

22. Ken has decided to raise rabbits but has been warned that the number of rabbits he will have will double every month. Ken started out with 30 rabbits, and the function y = 30(2^x) models the number of rabbits he will have after x months. Which graph represents this function?

OpenStudy (anonymous):

Plug your function into a graphing calculator or WolframAlpha to see the shape of the graph. This graph is of the same general shape as all exponential growth functions.

OpenStudy (anonymous):

ok. gt thank you. how about this question. 5. Multiply. (2n2 + 5n + 4)(2n – 4)

OpenStudy (anonymous):

Distribute the terms out through all of the permutations. You're essentially applying the distributive property multiple times.\[(a+b+c)(d+e)=ad+ae+bd+be+cd+ce\]

OpenStudy (anonymous):

would it be, 4n3 + 2n2 – 12n – 16

OpenStudy (anonymous):

That is exactly correct. Good job!

OpenStudy (anonymous):

can you answer this question for me cause i can't seem to get the answer. 6. Multiply. (j + 7)(j – 7)

OpenStudy (anonymous):

What did you get as your answer?

OpenStudy (anonymous):

j^2-7j+7j-49

OpenStudy (anonymous):

Your factoring is fine, however notice that \(-7j\) and \(7j\) cancel out since you're adding them.

OpenStudy (anonymous):

*distributing

OpenStudy (anonymous):

so its j^2-49

OpenStudy (anonymous):

right?

OpenStudy (anonymous):

That is correct! Good job.

OpenStudy (anonymous):

ok. thank you. what about this, 8. The area of a rectangular painting is given by the trinomial x2 + 4x – 21. What are the possible dimensions of the painting? Use factoring. (1 point)

OpenStudy (anonymous):

Have you managed to factor that trinomial? (Taking the hint)

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