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2 years ago

2) -9(18+ 2x) show work

Mathematics

2 answers:

brilliants [131]2 years ago

6 0

Answer:

-162+(-18x)

Step-by-step explanation:

distribute

-9×18=-162

-9×2x=-18x

trasher [3.6K]2 years ago

5 0

Answer:

-162-18x

Step-by-step explanation:

-9(18+2x)

distribute the -9 into the (18+2x)

and ur left with -162-18x

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How do you write the following statement as an equation: a number N is 4 less than 8 ??

kiruha [24]

4 less than 8 is a number N

8 - 4 = n
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n = 8 - 4

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3 years ago

Slope intercept form for 1/-2

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y= 1/-2x + b

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3 years ago

The number of Blue Jays on a tree is 5 times of Red Robins. Combined there are a total of 48 birds on the tree. How many Blue Ja

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3 years ago

HELP!!!!!!!!!!!!!

Misha Larkins [42]

Answer:

P'(7,0)Q'(2,1) R'(12,-6)

Step-by-step explanation:

P(3,5)------>P'(3+4,5-5)

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8 0

3 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.

$g(1.13)=1.13(6-2\times1.13)(8-2\times1.13)=24.26$

The maximum volume of the open box is 24.26 cm³

See attachment for graph.

6 0

3 years ago