What’s is the multiplicity of f(x)=(x+3)(x-4)^2
1 answer:
The root has multiplicity one and the root
has multiplicity two.
Explanation:
Given that the function
We need to determine the multiplicity of the function.
The function has 2 roots.
The roots of the function are -3 and 4.
The multiplicity of the roots means the number of times the root is a factor of the polynomial.
Thus, from the function, it is obvious that the function has the root -3 which occurs exactly once.
Thus, the root has multiplicity one.
Also, the root of the function which occurs twice.
Thus, the root has multiplicity two.
Hence, the multiplicity of the function is the root has multiplicity one and the root
has multiplicity two.
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Answer: The system of equations have many solutions and the correct options are A,B and D.
Explanation:
The given equations are,
..... (1)
.... (2)
Simplify the second equation.
Divide both sides by 3.
It is same as equation (1). Since equation (1) and (2) are same, therefore all the points lies on the line or which satisfies the equation are the solution of the given system of equations.
Test the points whether the point lies on the line or not.
Check for point A(6,-7).
LHS and RHS are equal, therefore the point A is the solution of the system of equations.
Check for point B(2,1).
LHS and RHS are equal, therefore the point B is the solution of the system of equations.
Check for point C(-2,-9).
LHS and RHS are not equal, therefore the point C is not the solution of the system of equations.
Check for point D(-4,13).
LHS and RHS are equal, therefore the point D is the solution of the system of equations.
Therefore the options A,B and D are correct.
Answer:
Step-by-step explanation:
Let us suppose that items carried by one hiker is
We know that everyone will carry same number of items
hence for a group of hikers, total number of items will be