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Ulleksa [173]
3 years ago
5

3x + 10 >28 inequality

Mathematics
2 answers:
ratelena [41]3 years ago
5 0

Answer:

x > 6

Step-by-step explanation:

Given

3x + 10 > 28 ( subtract 10 from both sides )

3x > 18 ( divide both sides by 3 )

x > 6

aksik [14]3 years ago
4 0

Answer:

x > 6

Step-by-step explanation:

3x > 28 - 10 \\ 3x > 18 \\ x > 6

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Problema Solution

You have 800 feet of fencing and you want to make two fenced in enclosures by splitting one enclosure in half. What are the largest dimensions of this enclosure that you could build?

Answer provided by our tutors

Make a drawing and denote:


x = half of the length of the enclosure


2x = the length of the enclosure


y = the width of the enclosure


P = 800 ft the perimeter


The perimeter of the two enclosures can be expressed P = 4x + 2y thus


4x + 3y = 800


Solving for y:

........

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........

y = 800/3 - 4x/3


The area of the two enclosure is A = 2xy.


Substituting y = 800/3 - 4x/3 in A = 2xy we get


A = 2x(800/3 - 4x/3)


A =1600x/3 - 8x^2/3


We need to find the x for which the parabolic function A = (- 8/3)x^2 + (1600/3)x has maximum: 


x max = -b/2a, a = (-8/3), b = 1600/3


x max = (-1600/3)/(2*(-8/3))


x max = 100 ft


y = 800/3 - 4*100/3


y = 133.33 ft


2x = 2*100


2x = 200 ft

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