Evaluate the function for the given value of x f(n)=n^2-6n+7n at n=3
1 answer:
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Answer:
Domain of the function is { x : x∈R, x>0 } or (0,∞).
Step-by-step explanation:
It is given that the dimensions of a rectangular piece of cardboard are
Length = 14 inch
Width = 10 inch
The box will be constructed by cutting out equal squares of side x at each corner and then folding up the sides. So the dimensions of the box are
Length = 14-2x inch
Breadth = 10- 2x inch
Height = x inch
The volume of cuboid box is
The volume function of the box is
The volume function is V=(14-2x)(10-2x)x.
It is a polynomial function and domain of a polynomial function is all real numbers.
Here, x represents the height of the box. So, value of x must be a positive real number.
Domain of the function is
Domain = { x : x∈R, x>0 }
It can be written as (0,∞).
Therefore, domain of the function is { x : x∈R, x>0 } or (0,∞).
Answer:
Step-by-step explanation:
For this case in order to select the one admiral, captain and commander, all different. We are assuming that the order in the selection no matter, so we can begin selecting an admiral then a captain and then a commander.
So we have 10C1 ways to select one admiral since we want just one
Now we have remaining 9 people and we have 9C1 ways to select a captain since we want a captain different from the admiral selected first
Now we have remaining 8 people and we have 8C1 ways to select a commander since we want a commander different from the captain selected secondly.
The term nCx (combinatory) is defined as:
And by properties
So then the number of possible way are:
If we select first the captain then the commander and finally the admiral we have tha same way of select
For all the possible selection orders always we will see that we have 720 to select.