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Dahasolnce [82]
3 years ago
14

Find the vertex of the graph of the following quadratic equations y= -3x^2 -12x-13

Mathematics
2 answers:
Igoryamba3 years ago
7 0

Answer:

Step-by-step explanation:

The vertex is a point. The x value is defined as x = - b / 2a where

a = -3

b = - 12

x = - -12/ 2* -3

x = 12 / - 6

x = -2

what is y when x = - 2?

y = -3(-2)^2 - 12(-2) - 13

y = -12 + 24 - 13

y  = -1

Does the graph agree? It should

The equation is written as

y = -3(x + 2)^2 - 1

choli [55]3 years ago
3 0
By using the rule -b/2a —> 12/-6= -2
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Shalnov [3]

Answer:

Area = 10025.66 square units

Step-by-step explanation:

We are given the following in the question:

The birth rate of a population:

b(t) = 2300e^{0.024t}

The death rate of a population:

d(t)= 1450e^{0.019t}

The area between the curve for 0 ≤ t ≤ 10, is given by:

\displaystyle\int_0^{10}b(t) - d(t)~ dt\\\\\displaystyle\int_0^{10} 2300e^{0.024t}-1450e^{0.019t}~dt\\\\= \Bigg[\frac{2300e^{0.024t}}{0.024}\Bigg]_0^{10}-\Bigg[\frac{1450e^{0.019t}}{0.019}\Bigg]_0^{10}\\\\= \Bigg[\frac{2300e^{0.24}}{0.024}-\frac{1450e^{0.19}}{0.019}\Bigg]-\Bigg[\frac{2300}{0.024}-\frac{1450}{0.019}\Bigg]\\\\= 29543.2058565 - 19517.5438596 \approx 10025.6

4 0
3 years ago
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Valentin [98]
I think its... A (but not sure)
3 0
3 years ago
Help please 17 points!!
Darina [25.2K]

Answer:

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Step-by-step explanation:

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Brewsky's is a chain of micro-breweries. Managers are interested in the costs of the stores and believe that the costs can be ex
Fynjy0 [20]

Answer:

The answer is "88.9%"

Step-by-step explanation:

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3 0
2 years ago
Helia invested 4000 AED for 3 years with a compound interest rate of 1.5%, Calculate the worth of her investment at the end of t
sineoko [7]

Answer:

4180 AED

Step-by-step explanation:

Given data

Principal= 4000

Time= 3 years

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3 years ago
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