At which root does the graph of f(x) = (x + 4)^6(x + 7)^5 cross the x axis?
2 answers:
ANSWER
The graph of
crosses the x-axis at
EXPLANATION
The nature of the multiplicity of a given polynomial function determines whether the graph crosses the x-axis at that intercept or not?
If the multiplicity of the factor is even as in
the graph touches but does not cross the x-axis at the intercept where
This means that the x-axis is a tangent to the function at this point.
However, if the multiplicity is odd, as in
the graph crosses the x-axis at the intercept where
The graph of
crosses the x-axis at
EXPLANATION
The nature of the multiplicity of a given polynomial function determines whether the graph crosses the x-axis at that intercept or not?
If the multiplicity of the factor is even as in
the graph touches but does not cross the x-axis at the intercept where
This means that the x-axis is a tangent to the function at this point.
However, if the multiplicity is odd, as in
the graph crosses the x-axis at the intercept where
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Answer:
Bag 2
Step-by-step explanation:
Given
Bag 1:
Bag 2:
Required
Which is a better buy
To get which buy is better, we first get the unit price of each bag.
For bag 1:
For bag 2:
The best buy is the one with smaller unit price
Hence, bag 2 is better to buy