Answer:
Center: (6, -12)
Radius: 4
Step-by-step explanation:
<u>Complete the squares</u>
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Comparing with the standard form equation , since , then the radius of the circle is . Also, the center of the circle would be .
The second relation is a function.
For a relation to be a function, each x-value can only have a singular corresponding y-value. Since all other relations feature x-values with multiple y-values, the second relation is a function.
Answer:
The graph of the system in the attached figure
Step-by-step explanation:
we have
isolate the variable y
----> equation A
This is the equation of a vertical parabola open down (because the leading coefficient is negative)
The vertex represent a maximum
the vertex is the point (0,2)
---> equation B
This is the equation of a circle centered at (0,0) with radius 3 units
The solution of the system of equations is the intersection points both graphs
using a graphing tool
The solutions are the points (-2.05,-2.19) and (2.05,-2.19)
see the attached figure
The number of calculators
= Number of boxes * calculators in each box
=18* 12
= 216 calculators