Hello!
The standard equation of a circle is x² + y² = r², when the center is at the origin.
So therefore, we just need to substitute the radius into the equation to find the appropriate equation.
x² + y² = (3)²
x² + y² = 9
Therefore, the equation of the circle is C, x² + y² = 9.
It is possible for two different inputs to give you the same output. For example, -2 and 2 produce the same result: 5.
it is not possible to derive two different outputs from the same input. This is because a) 
is a function making it impossible to have two outputs and b) for each value, if you square it, you only get one value, then adding one, making it one certain value.
Answer:
8oz = .5lbs
128lb = 2,048oz
64lbs = 1,024oz
1 1/2lbs = 24oz
5lbs = 80oz
1lb = 16oz
Step-by-step explanation:
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:
True.
Step-by-step explanation:
