Marcus was going up 10 stairs in his office. Write an absolute value expression for the given statement.
1 answer:
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Answer:
Step-by-step explanation:
Given
Required
Find all product of real values that satisfy the equation
Cross multiply:
Subtract 7 from both sides
Reorder
Multiply through by -1
The above represents a quadratic equation and as such could take either of the following conditions.
(1) No real roots:
This possibility does not apply in this case as such, would not be considered.
(2) One real root
This is true if
For a quadratic equation
By comparison with
Substitute these values in
Add 56 to both sides
Divide through by 4
Take square roots
Hence, the possible values of r are:
or
and the product is:
Answer:
Step-by-step explanation:
We have the quadratic function:
And we want to determine its axis of symmetry.
Notice that this is in vertex form:
Where (<em>h, k</em>) is the vertex of the parabola.
From our function, we can see that <em>h</em> = 4 and <em>k</em> = -2.5. Hence, our vertex is the point (4, -2.5).
The axis of symmetry is equivalent to the <em>x-</em>coordinate of the vertex.
The <em>x-</em>coordinate of the vertex is 4.
Therefore, the axis of symmetry is <em>x</em> = 4.