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Minchanka [31]
3 years ago
5

Determine whether f(x)=-4(x+3)^2-5 has a maximum or a minimum value, then find that value

Mathematics
1 answer:
Leto [7]3 years ago
5 0

Answer:

Yes it has

Step-by-step explanation:

From my perspective.........

f(x) = -4(x + 3)² - 5

f(x) = -4(x + 3)(x + 3) - 5

f(x) = -4(x² + 6x + 9) - 5

f(x) = -4x² - 24x - 36 - 5

f(x) = -4x² - 24x - 41

Dy/dx = -8x - 24

At minimum Dy/dx = 0

-8x - 24 = 0

-8x = 24

x = 24/-8

x = -3

At minimum

y = -4x² - 24x - 41

y = -4(-3)² - 24(-3) - 41

y = -4(9) + 72 - 41

y = -36 + 72 - 41

y = 36 - 41

y = -5

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\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]


\bf \begin{cases}
A=
\begin{array}{llll}
\textit{accumulated amount}\\
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\begin{array}{llll}
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n=
\begin{array}{llll}
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t=years\to \frac{6}{12}\to &\frac{1}{2}
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\\\\\\
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5 0
3 years ago
David goes into a candy store with $5.00. He buys 9 peppermints for $0.15 each, and some sour candies. Each sour candy costs $0.
klemol [59]

Answer:

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Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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aliina [53]

Answer:

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4 years ago
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