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Lemur [1.5K]
3 years ago
10

2.2x-10=0.2x +14 and -4x+5=x-5

Mathematics
1 answer:
Tcecarenko [31]3 years ago
5 0

Answer:x=12 and x=2

Step-by-step explanation:

2.2x-10=0.2x+14

2.2x-10-(0.2x+14)=0

2.2x-0.2x-14-10=0

2x-24=0

2x=24

x=24/2

x=12

-4x+5=x-5

-4x+5-(x-5)=0

-4x-x+5+5=0

-5x+10=0

-5x=-10

x=-10/-5

x=2

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Distance of the coin above the water is modeled by the equation

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Now equating with zero.

0=-16x^2+96x+112\\\Rightarrow 16x^2-96x-112=0\\\Rightarrow x=\dfrac{-\left(-96\right)\pm \sqrt{\left(-96\right)^2-4\times \:16\left(-112\right)}}{2\times \:16}\\\Rightarrow x=7, -1

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A bowl has the shape of a hemisphere whose diameter is 14 centimeters. If this bowl is filled with water, how many cubic centime
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The volume of the hemisphere is calculated as;

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Answer:

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Step-by-step explanation:

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we have to find the point of maximum growth rate for the logistic function f(x).

From the graph we can see that the carrying capacity or the maximum value of logistic function f(x) is 24 and the point of maximum growth is at y=\frac{24}{2} i.e between 0 to 12

So, we can take y=\frac{24}{2} and then solve for x.

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                             ⇒ log 3=-1.3x

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