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3 years ago

Which of the following graphs show a proportional relationship?choose all that apply

Mathematics

2 answers:

ziro4ka [17]3 years ago

5 0

Answer:

Step-by-step explanation:

Mrac [35]3 years ago

4 0

Answer:

the first one coz the all the cordinates of the graph have the same number on both axis' we can take example of 2,2 3,3 5.5,5.5 etc.

whereas the other graph starts itself on the why axis instead at the origin.

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Step-by-step explanation:

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2 Construct a rational function that will help solve the problem. Then, use a calculator to answer the question.

vaieri [72.5K]

Answer:

Dimension of box:-

Side of square base = 10 in

Height of box = 5 in

Minimum Surface area, S = 300 in²

Step-by-step explanation:

An open box with a square base is to have a volume of 500 cubic inches.

Let side of the base be x and height of the box is y

Volume of box = area of base × height

$500=x^2y$

Therefore, $y=\dfrac{500}{x^2}$

It is open box. The surface area of box, S .

$S=x^2+4xy$

Put $y=\dfrac{500}{x^2}$

$S(x)=x^2+\dfrac{2000}{x}$

This would be rational function of surface area.

For maximum/minimum to differentiate S(x)

$S'(x)=2x-\dfrac{2000}{x^2}$

For critical point, S'(x)=0

$2x-\dfrac{2000}{x^2}=0$

$x^3=1000$

$x=10$

Put x = 10 into $y=\dfrac{500}{x^2}$

y = 5

Double derivative of S(x)

$S''(x)=2+\dfrac{4000}{x^3}$ at x = 10

$S''(10) > 0$

Therefore, Surface is minimum at x = 10 inches

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4 years ago

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Answer:

(3.5, 2.75)

source: trust me bro

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3 years ago

Which of the following graphs show a proportional relationship?choose all that apply​

Which of the following graphs show a proportional relationship?choose all that apply