Algebra
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OpenStudy (sydney3545):
What is the 3rd term when 2y2 + 3y4 − 5y + 6y3 is arranged in descending order?
A.) 2y2
B.) 3y4
C.) −5y
D.) 6y3
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jimthompson5910 (jim_thompson5910):
are you able to identify the exponents here?
OpenStudy (sydney3545):
Im really lost on this i dont even know how to start
jimthompson5910 (jim_thompson5910):
you have this as the problem
\[\Large 2y^2 + 3y^4 - 5y + 6y^3\]
right?
OpenStudy (sydney3545):
correct
jimthompson5910 (jim_thompson5910):
that is the same as \[\Large 2y^2 + 3y^4 - 5y^1 + 6y^3\]
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jimthompson5910 (jim_thompson5910):
notice how 5y changed to 5y^1
jimthompson5910 (jim_thompson5910):
I'm marking the exponents in red
\[\Large 2y^{\color{red}2} + 3y^{\color{red}4} - 5y^{\color{red}1} + 6y^{\color{red}3}\]
OpenStudy (sydney3545):
yes
jimthompson5910 (jim_thompson5910):
when they say "descending order", they want the exponents to decrease (ie count down)
jimthompson5910 (jim_thompson5910):
what is the largest exponent?
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OpenStudy (sydney3545):
4
jimthompson5910 (jim_thompson5910):
so 3y^4 comes first
the next largest exponent is 3, so 6y^3 comes next
and so on
jimthompson5910 (jim_thompson5910):
what do you get when you arrange the terms in descending order?
OpenStudy (sydney3545):
so after i do that what should i do?
jimthompson5910 (jim_thompson5910):
can you write out the terms for me? when you've sorted them in descending order
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OpenStudy (sydney3545):
3y^4 3y^4 6y^3 5^y1
OpenStudy (sydney3545):
or wait
OpenStudy (sydney3545):
3y^4 6y^3 2y^2 5y^1
jimthompson5910 (jim_thompson5910):
very good
jimthompson5910 (jim_thompson5910):
first term: 3y^4
second term: 6y^3
third term: 2y^2
fourth term: 5y^1
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OpenStudy (sydney3545):
okay got it now what
jimthompson5910 (jim_thompson5910):
they want the third term and I listed it above
jimthompson5910 (jim_thompson5910):
and I listed it based off what you wrote
jimthompson5910 (jim_thompson5910):
so you're done at this point pretty much
you just list that third term
OpenStudy (sydney3545):
so whats the anwser then
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OpenStudy (sydney3545):
2y^2?
jimthompson5910 (jim_thompson5910):
2y^2, yep
OpenStudy (sydney3545):
THANKS
jimthompson5910 (jim_thompson5910):
you're welcome