57-36=21 times (rolled less than 3)
36:21 →12:7
<h2>
Answer:</h2>
The values of x for which the given vectors are basis for R³ is:

<h2>
Step-by-step explanation:</h2>
We know that for a set of vectors are linearly independent if the matrix formed by these set of vectors is non-singular i.e. the determinant of the matrix formed by these vectors is non-zero.
We are given three vectors as:
(-1,0,-1), (2,1,2), (1,1, x)
The matrix formed by these vectors is:
![\left[\begin{array}{ccc}-1&2&1\\0&1&1\\-1&2&x\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%262%261%5C%5C0%261%261%5C%5C-1%262%26x%5Cend%7Barray%7D%5Cright%5D)
Now, the determinant of this matrix is:

Hence,

Answer:
23.12 ounces
Step-by-step explanation:
First, subtract 24 - 14 to get how many books he had after he sold half of his collection and bought 14 more:
24 - 14 = 10
10 = number of books after he sold half of his collection.
Now, you need to multiply 10 x 2, because you need to find the original number of comic books:
10 x 2 = 20
He originally had 20 comic books.
An equation you could use for this question is:
2(24 - 14) = x. (X = number of comic books)
Hope this helps!!
~Kiwi
Step-by-step explanation:
<em>Given,</em>
<em>f(</em><em>x)</em><em> </em><em>=</em><em> </em><em>1</em><em>2</em><em>x</em><em> </em><em>-</em><em> </em><em>5</em>
<em>as,</em>
<em>f(</em><em>4</em><em>)</em><em> </em><em>so,</em>
<em>f(</em><em>4</em><em>)</em><em> </em><em>=</em><em> </em><em>1</em><em>2</em><em>(</em><em>4</em><em>)</em><em> </em><em>-</em><em> </em><em>5</em><em> </em>
<em>=</em><em> </em><em>4</em><em>8</em><em> </em><em>-</em><em> </em><em>5</em><em> </em><em>=</em><em> </em><em>4</em><em>3</em><em> </em><em>ans.</em>
<em><u>hope </u></em><em><u>this </u></em><em><u>helps </u></em><em><u>you </u></em><em><u>dear </u></em><em><u>take </u></em><em><u>care</u></em><em><u>!</u></em>