Solve. (2x+24)(4x+36)
2 answers:
Hey there! Hello!
For this problem, you need to use the distributive property to expand the variables into one equation. In my attachment, I'll show you how to do this.
If you need to then factor out the equation back into two binomials, you could either do it the way I show you, or you could just factor out the GFC's of both binomials, 2 and 4, to get 8. Either way, it's good to know how to do these steps. If the "re-factoring" step isn't necessary for your question, the second line down in the lower portion of my work.
I hope this helped you out! Feel free to ask me any additional questions if you have any. :-)
For this problem, you need to use the distributive property to expand the variables into one equation. In my attachment, I'll show you how to do this.
If you need to then factor out the equation back into two binomials, you could either do it the way I show you, or you could just factor out the GFC's of both binomials, 2 and 4, to get 8. Either way, it's good to know how to do these steps. If the "re-factoring" step isn't necessary for your question, the second line down in the lower portion of my work.
I hope this helped you out! Feel free to ask me any additional questions if you have any. :-)
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Answer:
You need to rent 14 videos, and you'll pay the same amount for both. Renting 15 will make the membership a better method of payment.
Step-by-step explanation:
Let Number of videos to be rented be x;
Given:
For non members;
Cost of renting 1 video = $4
Cost for renting x videos =
For Members;
Membership cost = $21
Cost of renting 1 video = $2.50
Cost of renting x video =
We can create an equation. Say the number of videos you rent is given by x
. We can write that, if we rent x videos without membership, we'll have to pay
. If we rent the same amount of videos with membership, we'll have to pay
.
Hence the equation can written as
Hence You need to rent 14 videos, and you'll pay the same amount for both. Renting 15 will make the membership a better method of payment.