SOMEONE PLEASE ANSWER THIS CORRECT FOR BRAINLIEST!!!

Mathematics

1 answer:

Alchen [17]3 years ago

3 0

Answer:

B There were 4 ducks lining the pond when he first built it

Step-by-step explanation:

The expression y = a (b)^t

The a represents the initial value or what we start with when time is zero

b is the increase or decrease rate

Since the equation is

y = 4 * (3) ^t

The 4 is the number of ducks when built the pond

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Airida [17]

Answer:

manda una foto pls es que no me deja ver lo que has puesto

Step-by-step explanation:

8 0

3 years ago

Which is an asymptote of the graph of the function y = cot ( x - 2pi / 3 )

vesna_86 [32]

$\bf y=cot\left(x-\frac{2\pi }{3} \right)\implies y=\cfrac{cos\left(x-\frac{2\pi }{3} \right)}{sin\left(x-\frac{2\pi }{3} \right)}$

now, if the denominator turns to 0, the fraction becomes undefined, and you get a "vertical asymptote" when that happens, so let's check when is that

$\bf sin\left(x-\frac{2\pi }{3} \right)=0\implies sin^{-1}\left[ sin\left(x-\frac{2\pi }{3} \right) \right]=sin^{-1}(0)
\\\\\\
x-\frac{2\pi }{3}=
\begin{cases}
0\\
\pi 
\end{cases}\implies \measuredangle x=
\begin{cases}
\frac{2\pi }{3}\\
\frac{5\pi }{3}
\end{cases}$

now, at those angles, the function is asymptotic, check the picture below