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Natali5045456 [20]
3 years ago
13

Finish the equation that satisfies the given conditions.

Mathematics
1 answer:
kirza4 [7]3 years ago
3 0
I’m not entirely sure what the question is asking because of the first word but the second equation (y=-x + 3) satisfies the conditions.
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Chloe has enough sand to fill a sandbox with an area of 36 square units. She wants the outer edges of the sandbox to use as litt
sergiy2304 [10]

Answer:

The dimensions of the box is 6 × 6 units.

Step-by-step explanation:

Chloe fill a sand box whose area is 36 square units.

Let length be x units and width be y units.

Area of box = 36

xy=36\\y=\dfrac{36}{x}\ \ \ ...(i)

Perimeter of box, P=2(x+y)

P=2(x+\dfrac{36}{x})\ \ \ \ \ \ \ \ [\text{ From }(i)]

Differentiate w.r to x

\dfrac{dP}{dx}=2(1-\dfrac{36}{x^2})

For critical point, \dfrac{dP}{dx}=0

\therefore 2(1-\dfrac{36}{x^2})=0

\Rightarrow x=\pm6

x can't be negative.

\dfrac{d^2P}{dx^2}=\dfrac{144}{x^3}\\\dfrac{d^2P}{dx^2}|_{x=6}=\dfrac{144}{216}>0(\text{min})

P_{min}=24 units

Hence, Length = 6 units and width = 6 units

5 0
3 years ago
Which statement best describes the relationship between the number of cookies eaten and the number of calories consumed?
frutty [35]
Answer: As the number of cookies eaten increases, the calories consumed increases.


This is because the number of cookies and calories consumed have a directly proportional relationship, meaning that if one value increases, so does the other.
5 0
3 years ago
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Which of the following is a false statement? Solid substances need different temperature of heat to melt them. All solid substan
maria [59]

Answer:

All solid substances require the same temperature and heat to melt them.

Step-by-step explanation:

Depending on the substance, the required heat to melt it changes, and is not the same for every solid.

4 0
3 years ago
If a pair of shoes cost $40 and they are on sale for 30% off how much would they be
yulyashka [42]

multiply 40 by 30% to find the discount then subtract

40 * 0.30 = 12

40-12 = 28

they would cost $28

6 0
3 years ago
Help with comparisons?
notsponge [240]
I think 1 is =
2 is =
3 is >
4 is =
5 is =

But I am really not good at math, so I hope I got them right for you!

-Twix
3 0
4 years ago
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