Mathematics
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OpenStudy (meowlover17):
Given the following functions f(x) and g(x), solve (f + g)(5) and select the correct answer below:
f(x) = 8x − 13
g(x) = x − 9
10 years ago
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OpenStudy (meowlover17):
A.23
B.27
C.31
D.40
10 years ago
OpenStudy (meowlover17):
Please help
10 years ago
OpenStudy (anonymous):
add 8x - 13 + x - 9 then solve for x
by substituting 5
10 years ago
OpenStudy (anonymous):
8(5) - 13 + (5) - 9
10 years ago
OpenStudy (meowlover17):
Thank you
10 years ago
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OpenStudy (anonymous):
np x
10 years ago
OpenStudy (meowlover17):
So 23
10 years ago
OpenStudy (anonymous):
yes!!
10 years ago
OpenStudy (meowlover17):
Could you help me with one more?
10 years ago
OpenStudy (anonymous):
sure
10 years ago
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OpenStudy (meowlover17):
Tablets are on sale for 15% off the original price (t), which can be expressed with the function p(t) = 0.85t. Local taxes are an additional 8% of the discounted price (p), which can be expressed with the function c(p) = 1.08p. Using this information, which of the following represents the final price of a tablet with the discount and taxes applied based on its original price?
10 years ago
OpenStudy (meowlover17):
c[p(t)] = 0.918t
c(p) + p(t) = 1.93t
c(p) ⋅ p(t) = 0.918pt
t[c(p)] = 1.93p
10 years ago
OpenStudy (meowlover17):
I dont understand this at all.
10 years ago
OpenStudy (anonymous):
yeah i'm not sure
10 years ago
OpenStudy (meowlover17):
Another one?
10 years ago
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OpenStudy (anonymous):
nengeni you know?
10 years ago
OpenStudy (meowlover17):
Given the following functions f(x) and g(x), solve f[g(6)] and select the correct answer below:
f(x) = 6x + 12
g(x) = x − 8
10 years ago
OpenStudy (meowlover17):
@090909090909
10 years ago
OpenStudy (meowlover17):
−96
0
24
48
10 years ago
OpenStudy (anonymous):
okay this is super easy you got this
since (g(6)) is in parentheses, you solve that first
plug in 6 for x in the function g(x)
g(x) = 6 - 8
10 years ago
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OpenStudy (meowlover17):
Okay
10 years ago
OpenStudy (anonymous):
the answer you get from that is what you plug into the function f(x) as x
10 years ago
OpenStudy (meowlover17):
So i plug in -2 for X?
10 years ago
OpenStudy (meowlover17):
So my answer is 0 :D
10 years ago
OpenStudy (anonymous):
yes, f(x) = 6(-2) + 12
10 years ago
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OpenStudy (anonymous):
yep! B
10 years ago
OpenStudy (meowlover17):
Thank you so much can you help me with a few more like that?
10 years ago
OpenStudy (anonymous):
sure post them
10 years ago
OpenStudy (meowlover17):
Alright awesome
Given the following functions f(x) and g(x), solve (f ⋅ g)(3) and select the correct answer below:
f(x) = 4x2 + 12
g(x) = x − 1
10 years ago
OpenStudy (meowlover17):
47
−47
96
−96
10 years ago
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OpenStudy (anonymous):
is it \[4x^2 + 12\]
10 years ago
OpenStudy (meowlover17):
Yes
10 years ago
OpenStudy (anonymous):
aight. expanded out, this would be written as (4(3)^2 + 12)*(3 - 1)
10 years ago
OpenStudy (meowlover17):
So do i solve for that expanded form?2
10 years ago
OpenStudy (anonymous):
start with 4(3)^2 + 12
10 years ago
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OpenStudy (anonymous):
follow order of operations, once you get an answer, multiply it by (3-1)
10 years ago
OpenStudy (meowlover17):
156?
10 years ago
OpenStudy (meowlover17):
312 0-0
10 years ago
OpenStudy (anonymous):
NO, NO
10 years ago
OpenStudy (meowlover17):
Oh wait sorry XD
10 years ago
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OpenStudy (meowlover17):
i did 4*3^2
10 years ago
OpenStudy (anonymous):
order of operations : parentheses, exponents, multiplication
10 years ago
OpenStudy (anonymous):
yes so square 3 and then multiply
10 years ago
OpenStudy (meowlover17):
96
10 years ago
OpenStudy (anonymous):
yes
10 years ago
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OpenStudy (meowlover17):
Thats my answer o-o
10 years ago
OpenStudy (anonymous):
yes
10 years ago
OpenStudy (meowlover17):
Awesome another one if thats fine by you
10 years ago
OpenStudy (anonymous):
yep
10 years ago
OpenStudy (meowlover17):
Given the functions k(x) = 5x − 8 and p(x) = x − 4, solve k[p(x)] and select the correct answer below.
10 years ago
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OpenStudy (meowlover17):
k[p(x)] = 5x − 12
k[p(x)] = 5x − 28
k[p(x)] = 5x2 − 12
k[p(x)] = 5x2 − 28
10 years ago
OpenStudy (meowlover17):
its 5x^2
10 years ago
OpenStudy (anonymous):
what k[p(x)] means is: substitute the function p(x) as x in the function k(x)
10 years ago
OpenStudy (meowlover17):
0k
10 years ago
OpenStudy (meowlover17):
I dont understand o-o
10 years ago
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OpenStudy (anonymous):
5(x - 4) - 8
you see how the function p(x) acts as x in the function k(x)?
10 years ago
OpenStudy (anonymous):
distribute first and then solve
10 years ago
OpenStudy (meowlover17):
ok
10 years ago
OpenStudy (meowlover17):
5x-28
10 years ago
OpenStudy (anonymous):
correct
10 years ago
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OpenStudy (meowlover17):
Given the following functions f(x) and g(x), solve f over g (−5) and select the correct answer below:
f(x) = 2x − 20
g(x) = x − 1
10 years ago
OpenStudy (meowlover17):
−5
5
one sixth
30
10 years ago
OpenStudy (meowlover17):
one sixth = 1/6
10 years ago
OpenStudy (meowlover17):
@090909090909
10 years ago
OpenStudy (anonymous):
5
10 years ago
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OpenStudy (meowlover17):
Thank you :)
10 years ago
OpenStudy (anonymous):
i actually have to leave but if you have anymore questions open up a new thread and i'm sure you'll get answers
10 years ago
OpenStudy (meowlover17):
alright thanks :) have a great rest of your day
10 years ago