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yarga [219]
3 years ago
13

Given the following exponential function, identify whether the change represents

Mathematics
1 answer:
maxonik [38]3 years ago
7 0

Answer:

54.7%

Step-by-step explanation:

Given the function :

y=2700(0.453)

y represents an exponential Decay function because :

For a growth function ; the function :

y = A(1 + r) where, A is the initial amount and r = growth rate

With this function ; the value in bracket will always be greater Than 1

Hence, when the value after the initial value is less than 1 ; then we have an exponential Decay ;

Where

y = A(1 - r)

Hence, rate, r equals :

1 - r = 0.453

1 - 0.453 = r

r = 0.547

= 0.547 * 100%

= 54.7%

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aliina [53]

If this exact question is repeatedly deleted, it's probably because of the ambiguity of the given equation. I see two likely interpretations, for instance:

\dfrac{(5\times5)^k}{5^{-8}} = 5^3

or

\dfrac{5\times 5^k}{5^{-8}} = 5^3

If the first one is what you intended, then

\dfrac{(5\times5)^k}{5^{-8}} = \dfrac{(5^2)^k}{5^{-8}} = \dfrac{5^{2k}}{5^{-8}} = 5^{2k-(-8)} = 5^{2k+8} = 5^3

and it follows that

2<em>k</em> + 8 = 3   ==>   2<em>k</em> = -5   ==>   <em>k</em> = -5/2

If you meant the second one, then

\dfrac{5\times 5^k}{5^{-8}} = \dfrac{5^1\times5^k}{5^{-8}} = \dfrac{5^{k+1}}{5^{-8}} = 5^{k+1-(-8)} = 5^{k+9} = 5^3

which would give

<em>k</em> + 9 = 3   ==>   <em>k</em> = -6

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3 0
3 years ago
What are the solution(s) to the quadratic equation 9x2 = 4?
Kaylis [27]

Answer:

Option B.

Step-by-step explanation:

The given quadratic equation is

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x^2=\frac{4}{9}

Taking square root on both sides.

x=\pm\sqrt{\frac{4}{9}}

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The solution of given equation are x=\frac{2}{3} and x=-\frac{2}{3}.

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Taking out common term, √7.

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= √7 (4)

= 4 √7

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Katarina [22]

Answer:yes it is

Step-by-step explanation:

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3 years ago
Determine the discriminant for the quadratic equation -3 = x^2+4x+1 . Based on the discriminant value, how many real number solu
djverab [1.8K]

Answer:

1 real

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