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Anna11 [10]
3 years ago
13

What are the coordinates of the vertex of the table? Is it a minimum or a maximum? X Y 0 1 -1 -2 -2 -3

Mathematics
1 answer:
Margarita [4]3 years ago
4 0
First, We observe that the function is a parabola that grows
 For this case, we must first graph the function to observe the behavior of the same.
 We see that the vertex of the function is located at the point:
 (x, y) = (- 2, -3)
 The point is a minimum.
 Answer: 
 (x, y) = (- 2, -3)
 It is a minimum.
 See attached image.


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A culture started with 4000 bacteria after 8 hours it grew to 4400 bacteria. Predict how many bacteria will be present after 9 h
Leno4ka [110]
\bf \qquad \textit{Amount for Exponential change}\\\\
A=P(1\pm r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{starting amount}\\
r=rate\to r\%\to \frac{r}{100}\\
t=\textit{elapsed period}\\
\end{cases}\\\\
-------------------------------\\\\

\bf A=P(1+r)^t\qquad 
\begin{cases}
\textit{hour 0, starting point}\\
t=0\qquad A=4000
\end{cases}\implies 182=ae^{k0}
\\\\\\
4000=P(1+r)^0\implies 4000=P
\\\\\\
thus\qquad A=4000(1+r)^t\\\\
-------------------------------\\\\

\bf A=P(1+r)^t\qquad 
\begin{cases}
\textit{8 hours later}\\
t=8\qquad A=4400
\end{cases}\implies 4400=4000(1+r)^8
\\\\\\
\cfrac{4400}{4000}=(1+r)^8\implies \cfrac{11}{10}=(1+r)^8\implies \sqrt[8]{\cfrac{11}{10}}=1+r
\\\\\\
\sqrt[8]{\cfrac{11}{10}}-1=r\implies 0.012\approx r\qquad thus\qquad \boxed{A=4000(1+0.012)^t}

how many bacteria after 9 hours? well, 9hours later is just t = 9, plug that in, to get A
4 0
3 years ago
Read 2 more answers
If the profit of Tk.x in 4 years at the rate of x% is Tk.x, then what is the value of x?
I am Lyosha [343]

Answer:

x = 25

Step-by-step explanation:

Given:

Amount invest p = Tk.x

Number of year t = 4

Rate r = x%

Profit = Tk.x

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Computation:

Profit = prt / 100

Tk.x = [(Tk.x)(x)(4)] / 100

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3 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
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Hi!

---------------------------------------------------------------------------------------------

Area of a triangle = (base * height)/2

Area of a square = (side)^2

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QUESTION 1: Determine the area of the triangular face.

\frac{bh}{2}

32(20)/2

640/2

320

<u>The triangular face is 320 square feet.</u>

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QUESTION 2: Determine the surface area of the entire figure.

a^2

32^2

1024

<em>Now, add the 4 triangular faces to the area of the square face.</em>

1024+320(4)

1024+1280

2304

<u>The total surface area is 1204 square feet.</u>

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<u><em></em></u>

<u><em>For more information, see:</em></u>

brainly.com/question/4637102

brainly.com/question/22971514

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3 years ago
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eimsori [14]
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so comparing the equation in the question to this we get:-

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3 years ago
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Select the inequality represented by the graph.
dimaraw [331]

Answer:

what graph?

Step-by-step explanation:

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