Eight less than four times a number is less than 56. What are the possible values of that number
2 answers:
Answer:
The possible values of x is less than 16
Step-by-step explanation:
Given that eight less than four times a number is less than 56.
we have to find the possible values of that number.
Let the number be x.
Eight less than 4 times is 4x-8 is less than 56 i.e
Adding 8 on both sides, we get
Hence, x is any value less than 16.
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Answer : The given polynomial equation can have 0,2 or 4 complex roots.
Explanation:-
Given polynomial equation is which is a polynomial of degree 5.
We know that the complex roots always occur in pair ,therefore the number of complex roots in any polynomial must be an even number but less than equal to the degree of polynomial.
Thus, the given polynomial equation has 4 complex roots.
For a better understanding of the answer given here, please go through the diagram in the attached file.
The diagram assumes that the base of the hexagonal pyramid is an exact fit (has same dimensions as the face of the hexagonal prism).
As can be seen from the diagram, the common vertices are A,B,C,D,E,F which are 6 in number.
The bottom vertices are G,H,I,J,K,L, which, again are 6 in number.
The Apex of the pyramid, P is one more vertex.
Thus, the total number of vertices in a Hexagonal pyramid is located on top of a hexagonal prism will be the sum of all these vertices and thus will be:
6+6+1=13
