anonymous
  • anonymous
Anybody willing to help me with three easy questions please! I will fan and medal and love you forever <3
Linear Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
If h(x) = 4x − 8 and j(x) = −x, solve h[j(3)] and select the correct answer below. A. −36 B. −20 C. 1 D. 4
anonymous
  • anonymous
a) what is \(j(3)\)?
anonymous
  • anonymous
J is -x and 3 is just 3.... wait are u asking me or are you confused? :)

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jim_thompson5910
  • jim_thompson5910
satellite73 knows the answer s/he is asking you to see if you know it
anonymous
  • anonymous
\[j(x)=-x\] so \[j(\spadesuit)=-\spadesuit\] and \[j(\xi)=-\xi\] so what is \[j(3)\]?
anonymous
  • anonymous
Oh ok... Yes so I did 4x-8[-x(3)] but i keep getting 28
anonymous
  • anonymous
umm... -3?
jim_thompson5910
  • jim_thompson5910
j(3) is -3, yes
anonymous
  • anonymous
ok thanks
anonymous
  • anonymous
whew b) what is \(h(-3)\)?
jim_thompson5910
  • jim_thompson5910
notice how satellite73 replaced the "j(3)" with "-3" going from h[ j(3) ] to h(-3) this only works because j(3) = -3
anonymous
  • anonymous
4x+24?
jim_thompson5910
  • jim_thompson5910
replace every x in h(x) = 4x − 8 with -3
anonymous
  • anonymous
oh ok so 4(-3) or -12 -8?
anonymous
  • anonymous
\[h(\diamondsuit)=4\times\diamondsuit-8\]\[h(\Phi)=4\times \Phi -8\]\[h(-3)+?\]
jim_thompson5910
  • jim_thompson5910
yeah just compute -12-8
anonymous
  • anonymous
-20
jim_thompson5910
  • jim_thompson5910
correct
anonymous
  • anonymous
omg tysm!!
anonymous
  • anonymous
I need help with 2 more... please
jim_thompson5910
  • jim_thompson5910
go ahead
anonymous
  • 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
jim_thompson5910
  • jim_thompson5910
\[\Large f(c) = 1.08c\] \[\Large f(\color{red}{c}) = 1.08\color{red}{c}\] \[\Large f(\color{red}{c}) = 1.08(\color{red}{c})\] \[\Large f(\color{red}{c(p)}) = 1.08(\color{red}{c(p)})\] \[\Large f(\color{red}{c(p)}) = ??\]
anonymous
  • anonymous
um...
jim_thompson5910
  • jim_thompson5910
\[\Large f(c) = 1.08c\] \[\Large f(\color{red}{c}) = 1.08\color{red}{c}\] \[\Large f(\color{red}{c}) = 1.08(\color{red}{c})\] \[\Large f(\color{red}{c(p)}) = 1.08(\color{red}{c(p)})\] \[\Large f(\color{red}{c(p)}) = 1.08(\color{red}{0.75p})\] \[\Large f(\color{red}{c(p)}) = ??\] In the second to the last step, I replaced c(p) with 0.75p because c(p) = 0.75p
anonymous
  • anonymous
0.81
jim_thompson5910
  • jim_thompson5910
0.81p
jim_thompson5910
  • jim_thompson5910
don't lose the p
jim_thompson5910
  • jim_thompson5910
the c or c(p) goes away because it is replaced by 0.75p
anonymous
  • anonymous
oh ok got it so c right
jim_thompson5910
  • jim_thompson5910
yes
anonymous
  • 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
anonymous
  • anonymous
Thank you! Last question
jim_thompson5910
  • jim_thompson5910
hint: Perimeter = 2*(Length + Width)
anonymous
  • anonymous
ok so, 2*(2x+8)+(x-1) for the first one right?
jim_thompson5910
  • jim_thompson5910
2*[ (2x+8)+(x-1) ] actually
anonymous
  • anonymous
oh ok now what? when i simplify it i get 5x+15
jim_thompson5910
  • jim_thompson5910
you should get 2*(3x+7) = ???
anonymous
  • anonymous
ohh i see! ok so 6x+14?
jim_thompson5910
  • jim_thompson5910
yes, that is the perimeter of rect A
jim_thompson5910
  • jim_thompson5910
find the perimeter of rect B
anonymous
  • anonymous
so for rectangle B would be 2*[ (3x+5)+(2x-2) ]
jim_thompson5910
  • jim_thompson5910
yes
jim_thompson5910
  • jim_thompson5910
I'll be right back
anonymous
  • anonymous
ok
anonymous
  • anonymous
is the answer 10x+6
jim_thompson5910
  • jim_thompson5910
perimeter of rect A = 6x+14 perimeter of rect B = 10x+6
jim_thompson5910
  • jim_thompson5910
subtract the two perimeters
anonymous
  • 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
jim_thompson5910
  • jim_thompson5910
10x - 6x = 4x ... correct 6 - 14 = 8 ... incorrect
anonymous
  • anonymous
Now I'm confused
jim_thompson5910
  • jim_thompson5910
B - A = (10x+6) - (6x+14) = 10x + 6 - 6x - 14 = ??
anonymous
  • anonymous
i got 4x+20
anonymous
  • anonymous
Did you mean to put 10x + 6 - 6x + 14 = ?
jim_thompson5910
  • jim_thompson5910
no the negative distributes through
jim_thompson5910
  • jim_thompson5910
- (6x+14) = -6x-14
anonymous
  • anonymous
oh ok so it would be the last one right?
jim_thompson5910
  • jim_thompson5910
yeah 4x-8
anonymous
  • anonymous
Thank you so much!!!!!!!!
jim_thompson5910
  • jim_thompson5910
no problem
denisaboichuk
  • denisaboichuk
0

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