What is -4d 3 + 28d 2 - 4d
1 answer:
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Answer:
Josh sold 16 books and Jessica sold 240 books
Step-by-step explanation:
Given: Jessica sold 15 times more books than Josh.
Together they sold 256 books
To Find : How many did each one of them sell?
Solution:
Let Jessica sold x books
Let Josh sold y books.
Since we are given that Jessica sold 15 times more books than Josh.
⇒x=15y --a
We are also given that Together they sold 256 books.
⇒x+y=256 --b
Using substitution method
Put value of x from equation a in equation b
⇒15y+y=256
⇒16y=256
⇒
⇒
Thus Josh sold 16 books
Jessica sold books = 15y = 15*16=240
Hence Josh sold 16 books and Jessica sold 240 books
Answer: Yes, the given set of vectors is a basis of R³.
Step-by-step explanation: We are given to determine whether the following set of three vectors in R³ is a basis of R³ or not :
B = {(-1, 1,-1), (1, 0, 2), (1, 1, 0)} .
For a set to be a basis of R³, the following two conditions must be fulfilled :
(i) The set should contain three vectors, equal to the dimension of R³
and
(ii) the three vectors must be linearly independent.
The first condition is already fulfilled since we have three vectors in set B.
Now, to check the independence, we will find the determinant formed by theses three vectors as rows.
If the value of the determinant is non zero, then the vectors are linearly independent.
The value of the determinant can be found as follows :
Therefore, the determinant is not equal to 0 and so the given set of vectors is linearly independent.
Thus, the given set is a basis of R³.