Mathematics
12 Online
OpenStudy (anonymous):
http://www.nysedregents.org/IntegratedAlgebra/20100618exam.pdf number 35
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jimthompson5910 (jim_thompson5910):
do you have a graphing calculator?
OpenStudy (anonymous):
yes
jimthompson5910 (jim_thompson5910):
then you type in "abs(x)" for y1 (assuming you have a TI 83 or TI 84)
jimthompson5910 (jim_thompson5910):
and "abs((1/2)x)" for y2 to graph the two equations
OpenStudy (anonymous):
do i just plot the points they give me when i click 2nd graph
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jimthompson5910 (jim_thompson5910):
yes, you can do that, hitting 2nd graph gives you the table which gives you the list of points used
OpenStudy (anonymous):
okay thank you! can you help me with another question please
jimthompson5910 (jim_thompson5910):
sure thing, what's your other question?
jimthompson5910 (jim_thompson5910):
Use the following formula:
Surface area = 2*(Length*Width + Length*Height + Width*Height)
or
SA = 2*(LW + LH + WH)
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jimthompson5910 (jim_thompson5910):
In this case, the length is x+3, so L = x+3
The width is x-4, so W = x-4
The height is 5, so H = 5
jimthompson5910 (jim_thompson5910):
So
SA = 2*(LW + LH + WH)
becomes
SA = 2*((x+3)(x-4) + (x+3)*5 + (x-4)*5)
jimthompson5910 (jim_thompson5910):
Do you know how to simplify that?
OpenStudy (anonymous):
i got 2(x+3)(x+4) + 2(5)(x-4)+ 2(x+3)(5)
jimthompson5910 (jim_thompson5910):
good
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jimthompson5910 (jim_thompson5910):
what's next
OpenStudy (anonymous):
isnt that different from what you got
jimthompson5910 (jim_thompson5910):
it's the same,you just rearranged terms and distributed
jimthompson5910 (jim_thompson5910):
but that's all perfectly valid
OpenStudy (anonymous):
then i got 2(x^2-4x+3x-12) but i dont know to distribute the other ones because when i looked at the answer it wasnt the same
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jimthompson5910 (jim_thompson5910):
You expanded (x+3)(x+4) to get x^2-4x+3x-12 ?
OpenStudy (anonymous):
yes
jimthompson5910 (jim_thompson5910):
well you're close, but your signs are off
jimthompson5910 (jim_thompson5910):
(x+3)(x+4) should be x^2+4x+3x+12
OpenStudy (anonymous):
how is it positive 4
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jimthompson5910 (jim_thompson5910):
multiply the outer terms x and 4 to get 4x
OpenStudy (anonymous):
but its negative 4
jimthompson5910 (jim_thompson5910):
no, positive x times positive 4 is positive 4x
OpenStudy (anonymous):
SA = 2*((x+3)(x-4) + (x+3)*5 + (x-4)*5)
jimthompson5910 (jim_thompson5910):
oooh right, I copied (x+3)(x+4) for some reason lol my bad
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jimthompson5910 (jim_thompson5910):
(x+3)(x-4) is x^2-4x+3x-12
OpenStudy (anonymous):
okay but i dont know how to distribute 2(5)(x-4) + 2(x+3)(5)
jimthompson5910 (jim_thompson5910):
2(5)(x-4)
10(x-4)
10x-40
jimthompson5910 (jim_thompson5910):
and
2(x+3)(5)
2(5)(x+3)
10(x+3)
10x+30
OpenStudy (anonymous):
but why do you multiply 2*5 and not x+3
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jimthompson5910 (jim_thompson5910):
I multiply 2 and 5 because you can think of 2(x+3)(5) as 2y*5 or 2*5y where y = x+3
jimthompson5910 (jim_thompson5910):
afterwards, I distributed
OpenStudy (anonymous):
i still dont get why the answer isnt 10(2x+6)
jimthompson5910 (jim_thompson5910):
well you distributed the 2 through, so 2(x+3) became (2x+6)
So 2(x+3)*5 becomes (2x+6)*5
Then you can distribute the 5 through to get 10x+30
OpenStudy (anonymous):
ok i dont get it what ever
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OpenStudy (anonymous):
thankyou
jimthompson5910 (jim_thompson5910):
just keep practicing and you will eventually