Which of the following rational functions is graphed below

Mathematics

2 answers:

Mrac [35]3 years ago

6 0

C.
the dotted line is the vertical asymptote, the value that x can never be. x can not be 4 this case, because x+4, the denominator, cannot be 0.

pochemuha3 years ago

6 0

Answer:

Option C

Step-by-step explanation:

Given is a graph and 4 functions. We have to choose the function corresponding to the graph.

The graph has a discontinuity at x=4 and also there is a vertical asymptote of x=4

Hence we find that the corresponding funciton should have x-4 in the denominator

Out of four functions given, only C satisfies this

Hence C) $f(x) = \frac{1}{x-4}$

is the correct answer.

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What is the volume of a sphere with a radius of 7mm

elena-14-01-66 [18.8K]

1) The answer, in terms of "π", is:
_________________________________
"  ( $\frac{1372 mm^3}{3}$ ) * π mm³ " .
___________________________________________________
2) The answer, using "3.14" for "π", is:
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" 1436.0266666666666667 mm³ " ; round to: " 1436.027 mm³ " ;

or; write as: " 1436 $\frac{2}{75}$ mm³ " .
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Explanation:
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The formula for the volume, "V" of a sphere is:

V = $\frac{4}{3}$ * π* r³ ;

in which "r" = radius = "7 mm" {given}.

We can solve using "3.14" for "π" ; or we can solve in terms of "π" ;
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1) In terms of "π" :
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V = $\frac{4}{3}$ * π * r³ ;

= $\frac{4}{3}$ * π * (7 mm)³ ;

= $\frac{4}{3}$ * π * (7 * 7 * 7 * mm³) ;

= $\frac{4}{3}$ * π * (49 * 7 * mm³) ;

= $\frac{4}{3}$ * π * (343 mm³) ;

= $\frac{4* 343 mm^3}{3}$ ) * π mm³

= ( $\frac{1372 mm^3}{3}$ ) * π mm³ ;

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2) Using "3.14" for "π" :
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    V = $\frac{4}{3}$ * π * r³ ;

= $\frac{4}{3}$ * (3.14)* (7 mm)³ ;

    = $\frac{4}{3}$ * (3.14) * (7 * 7 * 7 * mm³) ;

= $\frac{4}{3}$ * (3.14) * (49 * 7 * mm³) ;

= $\frac{4}{3}$ * (3.14) * (49 * 7 * mm³) ;

= $\frac{4}{3}$ * (3.14) * (343 mm³) ;

= { $\frac{4}{3}$ } * (3.14 * 343 mm³) ;

= { $\frac{4}{3}$ } * (1077.02 mm³) ;

= (4 * 1077.02 mm³) / 3 ;

= (4308.08 mm³) / 3 ;
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= 1436.0266666666666667 mm³ ; round to: " 1436.027 mm³ " ;

or; write as: " 1436 $\frac{2}{75}$ mm³ " .
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lisov135 [29]

Answer:

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Step-by-step explanation:

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