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Debora [2.8K]
3 years ago
15

3 -3-2-1 (2 зх what is the solution to the system shown in this graph

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
6 0
I need more of the question to be able to answer is there an image or something??
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A manufacturer cuts squares from the corners of a rectangular plece of sheet metal that measures 2 inches by 7 inches (see Figur
Vladimir79 [104]

Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The volume of the open-topped box is equal to

V=LWH

where

L=(7-2x)\ in\\W=(2-2x)\ in\\H=x\ in

substitute

V=(7-2x)(2-2x)x

Convert to expanded form

V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x

using a graphing tool

Graph the cubic equation

Remember that

The domain for x is the interval -----> (0,1)

Because

If x>1

then

the width is negative (W=2-2x)

so

The maximum is the point (0.46,3.02)

see the attached figure

therefore

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

8 0
3 years ago
Maria is purchasing a car whose MSRP is $22,450. She has asked for an upgrade to a premium package for which the cost is $4000.
N76 [4]
The total price of the vehicle would be $<span>20,150</span>
4 0
3 years ago
Are the given ratios equivalent Explan why or why not 3 : 5 12 : 20​
sasho [114]
Yes you take 3 times 4 and receive 12 and 5 times 4 and receive 20
4 0
3 years ago
The surface area of the figure is<br> square is 1 square unit.)<br> square units. (One grid
kondor19780726 [428]

Answer:

deededededededededede

Step-by-step explanation:

dedededededededede

8 0
3 years ago
The circular area covered by a cell phone tower can be represented by the expression 225π miles2. What is the approximate length
Irina18 [472]

Answer:

The length of the diameter of this circular area is of 30 miles.

Step-by-step explanation:

The area of a circular region can be represented by the following equation:

A = \pi r^{2}

In which r is the radius. The diameter is twice the radius.

In this question:

A = 225\pi

So

A = \pi r^{2}

225\pi = \pi r^{2}

r^{2} = 225

r = \pm \sqrt{225}

The radius is a positive measure, so

r = 15

Area in squared miles, so the radius in miles.

What is the approximate length of the diameter of this circular area

D = 2r = 2*15 = 30 miles

The length of the diameter of this circular area is of 30 miles.

6 0
3 years ago
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