The minimum thickness of the book would simply be the sum of the thickness of the two cover pages and all the pages in between. That is:
minimum thickness = 0.9 mm * 2 + 0.13 mm * 400
minimum thickness = 53.8 mm
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Factor x^5 - x to get x(x^4 - 1) = x(x^2-1)(x^2+1) = x(x-1)(x+1)(x^2+1)
We see that x = 0, x = 1 and x = -1 are the real number roots or x intercepts. Ignore the complex or imaginary roots. Unfortunately, the graph shows the x intercepts as -2, 0 and 2 which don't match up.
So there's no way that the given graph matches with f(x) = x^5-x.
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As more proof, let's consider the end behavior.
As x gets really large toward positive infinity, x^5 will do the same and so will x^5-x. Overall, f(x) will head off to positive infinity. Visually, moving to the right will have the graph move upward forever. This is the complete opposite of what is shown on the graph.
Likewise, the left endpoint should be aimed down instead of up. This is because x^5-x will approach negative infinity as x heads to the left.
In short, the graph shows a "rises to the left, falls to the right" end behavior. It should show a "falls to the left, rises to the right" pattern if we wanted to have a chance at matching it with x^5-x. Keep in mind that matching end behavior isn't enough to get a 100% match; however, having this contradictory end behavior is proof we can rule out a match.
I recommend using Desmos, GeoGebra, or whatever graphing program you prefer to plot out y = x^5-x. You'll get a bettter idea of what's happening.
Answer:
16c² + 32cd + 16d²
Step-by-step explanation:
A polynomial is an expression consisting of variables and coefficients. For example, 
is an example of a cubic polynomial.
Area of a square = side length x side length
Therefore, given the side length of this square is 4c + 4d, then the area can be expressed as:
area = (4c + 4d) x (4c x 4d) = (4c + 4d)²
If we expand the brackets we get:
area = 16c² + 32cd + 16d²
AB = x
BC = y
CA = 2x
With SF = 0.5 from ABC to MNO
Given: If OM = 5 then CA = 2 * 5 = 10
But CA = 2(AB)
so AB = CA/2 = 10/2 = 5
Answer
C. AB = 5
Answer:
x⁻⁴ would be written as 
as it's simplified form
Hope this helps!
