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Mathematics 12 Online
OpenStudy (anonymous):

http://www.nysedregents.org/IntegratedAlgebra/20100618exam.pdf number 35

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

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)

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

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

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

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

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

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

OpenStudy (anonymous):

thankyou

jimthompson5910 (jim_thompson5910):

just keep practicing and you will eventually

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