Mathematics: The volume of the sphere is StartFraction 500 Over 3 EndFractionπ cubic units.

The volume of the sphere is StartFraction 500 Over

bbyitskeke7160

14.06.2020

The graph in the attached figure

Step-by-step explanation:

we have

$f\left(x\right)=\left|x+3\right|-5$

Obtain the function g(x)

$g(x)=-\frac{1}{5} f(x)$

substitute

$g(x)=-\frac{1}{5} [\left|x+3\right|-5]$

$g(x)=-\frac{1}{5}\left|x+3\right|+1$

using a graphing tool

The graph in the attached figure

The vertex is the point (-3,1)

The x-intercepts are the points (-8,0) and (2,0)

The y-intercept is the point (0,0.4)

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