Answer:
-36
Step-by-step explanation:
3+2+1+2=8-4-3=1-2=-1-1=-2x1x2=-4-1=-5-27=-33-3=-36
Answer:
x < 2
Step-by-step explanation:
Given
10x > 8(3x - 2) - 12 ← distribute parenthesis on right side
10x > 24x - 16 - 12, that is
10x > 24x - 28 ( subtract 24x from both sides )
- 14x > - 28
Divide both sides by - 14, reversing the inequality symbol as a result of dividing by a negative quantity.
x < 2
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