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jimthompson5910 (jim_thompson5910):
yeah just compute -12-8
OpenStudy (anonymous):
-20
jimthompson5910 (jim_thompson5910):
correct
OpenStudy (anonymous):
omg tysm!!
OpenStudy (anonymous):
I need help with 2 more... please
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jimthompson5910 (jim_thompson5910):
go ahead
OpenStudy (anonymous):
Ray is purchasing a laptop that is on sale for 25% off. He knows the function that represents the sale price of his laptop is c(p) = 0.75p, where p is the original price of the laptop. He also knows he has to pay 8% sale's tax on the laptop. The price of the laptop with tax is f(c) = 1.08c, where c is the sale price of the laptop.
Determine the composite function that can be used to calculate the final price of Ray's laptop by solving for f[c(p)].
A. f[c(p)] = 1.83p
B. f[c(p)] = 1.83cp
C. f[c(p)] = 0.81p
D. f[c(p)] = 0.81cp
\[\Large f(c) = 1.08c\]
\[\Large f(\color{red}{c}) = 1.08\color{red}{c}\]
\[\Large f(\color{red}{c}) = 1.08(\color{red}{c})\]
\[\Large f(\color{red}{c(p)}) = 1.08(\color{red}{c(p)})\]
\[\Large f(\color{red}{c(p)}) = 1.08(\color{red}{0.75p})\]
\[\Large f(\color{red}{c(p)}) = ??\]
In the second to the last step, I replaced c(p) with 0.75p because c(p) = 0.75p
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OpenStudy (anonymous):
0.81
jimthompson5910 (jim_thompson5910):
0.81p
jimthompson5910 (jim_thompson5910):
don't lose the p
jimthompson5910 (jim_thompson5910):
the c or c(p) goes away because it is replaced by 0.75p
OpenStudy (anonymous):
oh ok got it so c right
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jimthompson5910 (jim_thompson5910):
yes
OpenStudy (anonymous):
The following table shows the length and width of two rectangles:
Length Width
Rectangle A 2x + 8 x − 1
Rectangle B 3x + 5 2x − 2
Which expression is the result of the perimeter of rectangle B minus the perimeter of rectangle A?
A. 2x − 4
B. 8x + 10
C. 16x + 20
D. 4x − 8
OpenStudy (anonymous):
Thank you! Last question
jimthompson5910 (jim_thompson5910):
hint:
Perimeter = 2*(Length + Width)
OpenStudy (anonymous):
ok so, 2*(2x+8)+(x-1) for the first one right?
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jimthompson5910 (jim_thompson5910):
2*[ (2x+8)+(x-1) ] actually
OpenStudy (anonymous):
oh ok now what? when i simplify it i get 5x+15
jimthompson5910 (jim_thompson5910):
you should get 2*(3x+7) = ???
OpenStudy (anonymous):
ohh i see! ok so 6x+14?
jimthompson5910 (jim_thompson5910):
yes, that is the perimeter of rect A
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jimthompson5910 (jim_thompson5910):
find the perimeter of rect B
OpenStudy (anonymous):
so for rectangle B would be 2*[ (3x+5)+(2x-2) ]
jimthompson5910 (jim_thompson5910):
yes
jimthompson5910 (jim_thompson5910):
I'll be right back
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
is the answer 10x+6
jimthompson5910 (jim_thompson5910):
perimeter of rect A = 6x+14
perimeter of rect B = 10x+6
jimthompson5910 (jim_thompson5910):
subtract the two perimeters
OpenStudy (anonymous):
Well the directions say "perimeter of rectangle B minus the perimeter of rectangle A" but when i do that i get 4x+8 which is none of the options