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3 years ago

The function von = ar can be used to find the volume of air inside a basketball given its radius. What does V(r) represent?

Mathematics

1 answer:

Irina18 [472]3 years ago

5 0

Answer:

Here, V(r) is the function dependent on the variable r whch is the radius of any sphere.

By plugging different values of r in the formula. one can find the volume associated with it.

Here, V(r) represents the volume of the sphere when the radius is equal to r.

Step-by-step explanation:

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vampirchik [111]

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Step-by-step explanation:

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$ax^2+bx+c=0$

Dividing the equation by a, we get

$x^2+\frac{b}{a}x+\frac{c}{a}=0$

Put $\frac{c}{a}$ on the other side,

$x^2+\frac{b}{a}x=\frac{-c}{a}$

Add $(\frac{b}{2a})^2$ on both the sides,

$x^2+\frac{b}{a}x+(\frac{b}{2a})^2=\frac{-c}{a}+(\frac{b}{2a})^2$

completing the square, we have

$(x+\frac{b}{2a})^2=\frac{-c}{a}+(\frac{b}{2a})^2$

Now, solving for x,

$x+\frac{b}{2a}={\pm}\sqrt{\frac{-c}{a}+(\frac{b}{2a})^2}$

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Multiply right side by $\frac{2a}{2a}$ ,

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which is the required quadratic formula.

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