Answer:
Consider the system of equations,
and
As we know that,
'The intersection points of the graphs of the system of equations are the solutions of the system of equations'.
So, after plotting the given graphs, we see that,
The only intersection point is (0.714,-2.857).
Thus, the solution of the system is x= 0.714 and y= -2.857.
The function is an exponential with base greater than 1. So, its range is
, with 0 being the horizontal asymptote as
.
If you multiply the function by , the range remains the same.
If you reflect it over the x-axis, you're changing the sign of the function. So, the new range is
Answer:
The standard form of the equation of the circle is .
Step-by-step explanation:
A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.
The equation of a circle in standard form is
where <em>r</em> is the radius of the circle, and <em>h</em>, <em>k</em> are the coordinates of its center.
When the center of the circle coincides with the origin , so
We are also told that the circle contains the point (0, 1), so we will use that information to find the radius <em>r</em>.
Therefore, the standard form of the equation of the circle is .