Write an algebraic rule that describes the pattern below. 4,3,6,5,10,9,18.....

Mathematics

1 answer:

leva [86]3 years ago

6 0

Add 4 Subtract 1 Add 3
hope it helps

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the tangent line to the curve y=x^3-6x^2-34x-9 has slope 2 at two points on the curve. find the two points

hichkok12 [17]

$\bf y=x^3-6x^2-34x-9\implies \cfrac{dy}{dx}=3x^2-12x-34
\\\\\\
\stackrel{\textit{slope of 2}}{2}=3x^2-12x-34\implies 0=3x^2-12x-36
\\\\\\
0=x^2-4x-12\implies 0=(x-6)(x+2)\implies x=
\begin{cases}
6\\
-2
\end{cases}\\\\
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\stackrel{y}{f(6)}=(6)^3-6(6)^2-34(6)-9\implies f(6)=-213\\\\\\ (\stackrel{x}{6}~,~\stackrel{y}{-213})
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\stackrel{y}{f(-2)}=(-2)^3-6(-2)^2-34(-2)-9\implies f(-2)=27\\\\\\ (\stackrel{x}{-2}~,~\stackrel{y}{27})$

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The statement which could explain the effect of confounding is:

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