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OpenStudy (afloridagirl):
Which expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?
A square shaped traffic sign is shown with length of one side labeled as 4x plus 3.
16x2 + 12x + 9
16x2 + 24x + 9
8x2 + 9
8x2 + 6
OpenStudy (sweetburger):
Area of a square is
\[A=s^2\]
you know that the side length is s=4x+3.
\[A=(4x+3)^2\]
OpenStudy (koikkara):
Right, as your question says >> A square shaped traffic sign !
OpenStudy (afloridagirl):
so would the answer be c
OpenStudy (welshfella):
no here's how to expand (4x + 3)^2:-
= (4x + 3)(4x + 3)
= 4x(4x + 3) + 3(4x = 3)
Can you continue form here?
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OpenStudy (afloridagirl):
yes?
OpenStudy (welshfella):
4x* 4x = 16x^2
4x*3 = 12x
can you work out the other 2 ?
OpenStudy (afloridagirl):
im so confused
OpenStudy (afloridagirl):
im sorry i am so horrible at math
OpenStudy (welshfella):
can you see why 4x * 3 = 12x ??
3 times 4 = 12 and the x stays as its is
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OpenStudy (welshfella):
and 3 times 4x gives the same results ( the order does not matter here)
OpenStudy (welshfella):
I cant give you the answer. You need to study some basic algebra.
OpenStudy (afloridagirl):
it would be 16x2 + 24x + 9
OpenStudy (afloridagirl):
if i multiply those things right? @welshfella
OpenStudy (welshfella):
16x^2 + 12x + 12x + 9
= 16x^2 + 24x + 9
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OpenStudy (welshfella):
right
OpenStudy (afloridagirl):
thank you
OpenStudy (afloridagirl):
can you help with another one?
OpenStudy (afloridagirl):
@welshfella
OpenStudy (afloridagirl):
Find the quotient of quantity of 4 times x to the 3rd power minus 12 times x to the 2nd power plus 8 times x all over negative 4 times x.
−x2 + 3x − 2
x2 − 12x + 4
−x2 − 3x + 2
x2 + 12x − 4
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OpenStudy (afloridagirl):
i think its c
OpenStudy (proheiper):
^ flvs?
OpenStudy (afloridagirl):
yes
OpenStudy (proheiper):
same
OpenStudy (proheiper):
isnt welshfella the brainly person that always advertised? @welshfella
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OpenStudy (afloridagirl):
idk
OpenStudy (welshfella):
that's not me.
I don't like brainly very much.
OpenStudy (proheiper):
oh true
OpenStudy (proheiper):
idk i just remember a cat
OpenStudy (afloridagirl):
is no one going to help me
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OpenStudy (afloridagirl):
not to be rude or anything
OpenStudy (proheiper):
oh lol
OpenStudy (proheiper):
just did this yesterday
OpenStudy (welshfella):
4x^3 - 12x^2 + 8x
-----------------
-4x
divide -4x into each of the terms at the top
so 4x^3 / -4x = -x^2
( note that you subtract the exponents when you divide. x^3 / x = x^(3-1) = x^2)
and 4 /- 4 = -1
OpenStudy (welshfella):
next you need to work out - 12x^2 / -4 x
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OpenStudy (proheiper):
and it was chestercat that always spammed
OpenStudy (proheiper):
chestercat 4 years ago
See more answers at brainly.com
OpenStudy (afloridagirl):
what?
OpenStudy (welshfella):
-12 / -4 = + 3
and x^2 / x = x
now try and finish it off
OpenStudy (afloridagirl):
would it be b?
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OpenStudy (welshfella):
no
because we just worked out the first term which is -x^2
OpenStudy (afloridagirl):
and you said it wasnt c
OpenStudy (afloridagirl):
so its a
OpenStudy (afloridagirl):
@welshfella
OpenStudy (afloridagirl):
it was a
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sam (.sam.):
Look, \[\frac{4x^3 - 12x^2 + 8x}{-4x}\]
You'll split the denominator to the terms on the numerator
\[\frac{4x^3}{-4x}+\frac{-12x^2}{-4x}+\frac{8x}{-4x}\]
Simplifying it,
\[=-x^2+3x+?\]
sam (.sam.):
You'll just need to work out \(\frac{8x}{-4x}\) and you're done