Answer:
x > 10/3
x will always be greater that 10/3 never the same nor less.
Step-by-step explanation:
3/5x + 1/3 < 4/5x - 1/3
3/5x - 4/5x + 1/3 < -1/3
-1/5x + 1/3 < -1/3
-1/5x < -1/3 - 1/3
-1/5x < -2/3
-1/5x/-1 < -2/3/-1 (Since it is both divided by a negative the sign switches, the sign also switches with multiplication. *Note: it only switches if it is negative!*)
1/5x > 2/3
5 • 1/5x > 2/3 • 5
x > 2/3 • 5/1
x > 10/3
The cost of the trip was $56.25
Since you are recycling the boxes you will be subtracting 2 3/6 and 1 2/3 since you’re a denominators you’re not mad she have to find a common denominator which would be six. So you have to do 2/2 x 2/3 = 4/6. So then you would do 3/6 - 4/6 = 1/6. Then you would subtract 1-2=1. Then you would do 1 + 1/6 = 1 1/6
So the answer is 1 1/6.
I hope this helped
Inflection point is the point where the second derivative of a graph is zero.
y = (x+1)arctan xy' = (x+1)(arctan x)' + (1)arctan xy' = (x+1)/(x^2+1) + arctan xy'' = (x+1)(1/(1+x^2))' + 1/(1+x^2) + 1/(1+x^2)y'' = (x+1)(-1/(1+x^2)^2)(2x)+2/(1+x^2)y'' = ((x+1)(-2x)+1+x^2)/(1+x^2)^2y'' = (-2x^2-2x+2+2x^2)/(1+x^2)^2y'' = (-2x+2)/(1+x^2)^2
Solving for point of inflection: y'' = 00 = (-2x+2)/(1+x^2)^20 = -2x+2x = 1y(1) = (1+1)arctan(1) = 2 * pi/4 = pi/2
Therefore, E(1, pi/2).
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