Answer:
1) False
2) False
3) True
4) False
Step-by-step explanation:
1) Flase, {v1,v2,v3, ..., vp} is a base for H when they span H and also they are linearly independent.
2) False. A single nonzero vector is linearly independent , not dependent. There is not null linear combination that gives 0 as a result involving that vector.
3) True, if the columns werent linearly independent, we could triangulate the matrix and obtain 0, so the matrix wouldnt be invertible. This means that the columns should be linearly independent for the matrix to be invertible and as a consecuence, they will spam a subspace of R^n of dimension n, which means that they will spam all R^n and therefore, they form a basis of R^n.
4) False. A basis is a spanning set that is as small as possible. Larger spanning sets will have extra elements apart from those who can form a base toguether. Those elements will make the set linearly dependent.
Answer:
Please complete the question..
Step-by-step explanation:
Answer:
c(h) = 40*h + 50
Step-by-step explanation:
Let h be the variable that represents the number of hours
As the cable operator charges $40.00 for an hour so for h hours, the expression will be 40*h
And
Lastly, he has to charge $50.00 must as service charge,
As the number of hours is variable here so the function will be in terms of hours.
So the resulting function will be:
c(h) = 40*h + 50
Let distance between warehouse and retail outlets be x miles.
We are told that for a one-way trip, the trucking company charges a flat rate of $250 per truck, plus $1.25 for every mile driven. The apparel company has a budget of less than $950 per trip.
Upon multiplying 1.25 by x we will get delivering charges for x miles as 1.25*x. Total delivery charges also include $250 per one-way trip, therefore, 250 will be our constant.
Our total delivery charges for x miles will be,
The apparel company should service those outlets for whom delivery cost will be less than $950.
Therefore, an inequality representing apparel company's profit will be .
