Answer:
1/2
Step-by-step explanation:
cotangent is the reciprocal of a tangent
tanθ = 2
cotθ = 1/2
The graph of the function

is parabola with branches going down in the negative direction of y-axis.
The vertex of parabola has coordinates:

Then you can conclude that all x are possible, that means that the dimain is

and the maximum value of y is at the vertex, then the range is
![(-\infty,6]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C6%5D)
.The function is increasing for x<-2 and decreasing for x>-2 (since vertex is the maximum point).
When x=0, y=2.
Hence,
<span>The domain is {x|x ≤ –2} - false.
</span>
<span>The range is {y|y ≤ 6} - true.
</span>
<span>The function is increasing over the interval (–∞ , –2) - true.
</span>
<span>The function is decreasing over the interval (−4, ∞) - false.
</span>
<span>The function has a positive y-intercept - true.</span>
Answer:
They are both correct
Step-by-step explanation:
It's interpretation of the concept. In common practice multiplying by 10 means you add a zero and that's what we teach 10 year olds. But what does adding a zero mean? It means adding a place value and that's what you learn when you are
So in both examples just add a decimal:
2.0 x 10 = 20.
0.2 x 10 = 2.0
In conclusion, it depends on the level of precision required in the discussion and the level of maturity as to who is correct in their examples. If you are teaching 3rd graders math, by all means you add a zero. If you are discussing physics you are shifting over a place value.
A is correct. ...................................................