Samuel pulls two coin out of his pocket randomly without replacement. If his pocket contains one nickel, one dime, and one quart
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Answer:
12
Step-by-step explanation:
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Answer:
Part 1) Option A. The axis of symmetry is x=4
Part 2) Option C. minimum
Part 3) Option A. (4,-4)
Part 4) Option B. (2,0) and (6,0)
Step-by-step explanation:
we have
Part 1) What is the axis of symmetry of the parabola described by the equation above?
we know that
The equation above is a vertical parabola open upward
The axis of symmetry is the x-coordinate of the vertex
Find the vertex of the parabola (convert the equation in vertex form)
----> equation in vertex form
The vertex of the parabola is (4,-4)
so
The axis of symmetry is x=4
Part 2) The vertex of the equation above is also
we know that
The equation above is a vertical parabola open upward
therefore
The vertex is a minimum
Part 3) What is the vertex of the parabola described by the equation above
we know that
The equation of the parabola into vertex form is equal to
therefore
The vertex of the parabola is (4,-4)
Part 4) What are the x-intercepts of the parabola described by the equation above
we know that
The x-intercepts are the values of x when the value of y is equal to zero
so
f)x)=0
so
take square root both sides
therefore
The x-intercepts are
(2,0) and (6,0)