G(x)=4x-7 find g(-9)
2 answers:
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Given that 
attains a maximum at 
, it follows that 
at that same point. So integrating once gives
and so the first derivative is
.
Integrating again, you get
You know that this curve passes through the point (2, -1), which means when
, you have 
:
and so
and so the first derivative is
Integrating again, you get
You know that this curve passes through the point (2, -1), which means when
and so
Diagrams make explanations a lot easier so I created one, see bottom for the picture.
As GHF are all midpoints, that means the lines that connect them are half of the opposite sides.
CD = 2HF
DE = 2GF
CE = 2GH
As HF is 2x CD, and CD = 24:
HF = CD ÷ 2
HF = 24 ÷ 2 = 12
As DE = 2x GF and DF is 9:
DE = 2 x 9
DE = 18
As CE = 2x GH and GH = 7:
CE = 2 x 7
CE = 14
Hope this helps!
1.
total
$20 total
sales tax from purchase
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$20 total
10% sales tax
2.
$20 total
5% sales tax