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:
48
Step-by-step explanation:
Create an equation to represent this, where x is the unknown number.
+ 6 = 18
Solve for x, by first subtracting 6 from both sides:
= 12
Multiply each side by 4:
x = 48
So, the number is 48
Step-by-step explanation:
We have been given that David, Egil and Frances share money in the ratio 2:7:9.
Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.
We are told that Frances gets $80 more than David. So we can write this information in an equation as:
Now let us solve for x.
Now let us substitute in 7x (amount of money that Egil gets).
Upon cancelling out 7 from numerator and denominator we will get,
Therefore, Egil will get $80.