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3 years ago

12

Do the values in the table represent a proportional relationship? HELP ASAP!!!!

2 answers:

aliya0001 [1]3 years ago

8 0

Do the values in the table represent a proportional relationship? HELP ASAP!!!!
x 1 2 3 4
y 2.5 5 7.5 10

Select from the drop-down menu to correctly complete the statement.
All of the y-values HAVE
a constant multiple of ☆☆2.5☆☆☆ to the corresponding x-values, so the relationship PROPORTIONAL

DochEvi [55]3 years ago

7 0

Answer:

Step-by-step explanation:

Hey so the answer's are "are" and "is proportional"

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4 years ago

Consider the function V=g(x), where g(x) =x(6-2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an

Andrej [43]

Answer:

The maximum volume of the open box is 24.26 cm³

Step-by-step explanation:

The volume of the box is given as $V=g(x)$ , where $g(x)=x(6-2x)(8-2x)$ and $0\le x\le3$ .

Expand the function to obtain:

$g(x)=4x^3-28x^2+48x$

Differentiate wrt x to obtain:

$g'(x)=12x^2-56x+48$

To find the point where the maximum value occurs, we solve

$g'(x)=0$

$\implies 12x^2-56x+48=0$

$\implies x=1.13,x=3.54$

Discard x=3.54 because it is not within the given domain.

Apply the second derivative test to confirm the maximum critical point.

$g''(x)=24x-56$ , $g''(1.13)=24(1.13)-56=-28.88\:$

This means the maximum volume occurs at $x=1.13$ .

Substitute $x=1.13$ into $g(x)=x(6-2x)(8-2x)$ to get the maximum volume.

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The maximum volume of the open box is 24.26 cm³

See attachment for graph.

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