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3 years ago

Find all solutions that apply 9x^2+9x-4=0 Select all that apply

Mathematics

1 answer:

Archy [21]3 years ago

7 0

Answer:

D and F will be your answers

Step-by-step explanation:

hope this helps

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Answer:

20: 0.2

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Identify the relative maximum value of g(x) for the function shown below <br><br> g(x) = 2/ x^2 +3

Dahasolnce [82]

Answer:

The relative maximum value is $\frac{2}{3}$

Step-by-step explanation:

The given function is

$g(x)=\frac{2}{x^2+3}$

We differentiate to obtain;

$g'(x)=-\frac{4x}{(x^2+3)^2}$

At turning points $g'(x)=-\frac{4x}{(x^2+3)^2}=0$

$\implies x=0$

$g''(x)=\frac{16x^2}{(x^2+3)^3}- \frac{4}{(x^2+3)^2}$

We apply the second derivative test to obtain:

$g''(0)=\frac{16(0)^2}{((0)^2+3)^3}- \frac{4}{((0)^2+3)^2}=-\frac{4}{9}$

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We substitute x=0 into the original function to obtain the relative maximum value.

$g(0)=\frac{2}{(0)^2+3}=\frac{2}{3}$

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