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Mathematics 20 Online
OpenStudy (just_one_last_goodbye):

Hey guys please check my answer.

OpenStudy (just_one_last_goodbye):

Which of the following best describes the expression 4(y + 6)? A. The product of a constant factor of four and a factor with the sum of two terms B. The sum of a constant factor of six and a factor with the product of two terms C. The product of two constant factors four and six plus a variable D. The sum of two constant factors four and six plus a variable

OpenStudy (just_one_last_goodbye):

I think it's C am I correct? :)

zepdrix (zepdrix):

Here is a little hint, Since y is variable, it means the factor (y+6) can not be constant.

OpenStudy (just_one_last_goodbye):

So... It's B? :O

zepdrix (zepdrix):

Hmm let's break B down and see if that works. `The sum of` `a constant factor of six` `and` `a factor with the product of two terms` So we have a constant factor of 6 which is being added to the product of two other things. That would look something like this: 6+x*y

OpenStudy (just_one_last_goodbye):

darn it e.e

OpenStudy (just_one_last_goodbye):

so.. :/ ugh I'm not the best one at math..

zepdrix (zepdrix):

Word stuff can be tricky, ummm When I look at this: 4*(y+6) I would describe it as... the product of two things. one of them is a number (or constant), the other is a sum.

zepdrix (zepdrix):

They made this one kinda tricky, threw a lot of unnecessary words in :P

OpenStudy (just_one_last_goodbye):

so it's A or D e.e

OpenStudy (just_one_last_goodbye):

and it has to match those hints e.e

zepdrix (zepdrix):

You have two things multiplying together, 4 and (y+6). When we multiply stuff together, we call this a product, yes? So you have the product of two things...

OpenStudy (niksbhalla14mar):

A. The product of a constant factor of four and a factor with the sum of two terms Sol - Here the two terms are there but one of them is a number and not a variable. So cannot be called a term. B. The sum of a constant factor of six and a factor with the product of two terms Sol - It is not a constant factor of six. So this cannot be it. C. The product of two constant factors four and six plus a variable Sol - This exactly defines what the equation is. D. The sum of two constant factors four and six plus a variable. Sol - It is not a sum but a product. So this cannot be it. Final Answer - C

OpenStudy (just_one_last_goodbye):

so it was C? :O

zepdrix (zepdrix):

Terms are separated by addition or subtraction. Here is an example of two terms: x+9 Here another example of two terms: y+6 No. It's A.

OpenStudy (just_one_last_goodbye):

thanks :D

OpenStudy (niksbhalla14mar):

Why isnt it C ? Cant understand that.

zepdrix (zepdrix):

I explained that above :D (y+6) is not a constant factor. It varies since y is a variable.

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