Answer:
|5| = 5 and |2| = 2 and because 5 > 2, our answer is |5| > |2|.
The GCF of 30, 48, and 60 is 6.
Answer:
B
Step-by-step explanation:
A proportional relationship is a relationship which crosses through the origin (0,0) and which has a proportional constant. We can determine this either by finding (0,0) where x=0 and y=0 in the table or by dividing y/x. None of the tables contain (0,0) so we will divide y by x. We are looking for a table which when each y is divided by its x we have the same constant appearing.
<u>Table A</u>
These fractions are not equal. This is not proportional.
<u>Table B</u>
These fractions are equal and each shows the numerator to be half of the denominator. This is proportional.
<u>Table C</u>
These fractions are not equal. This is not proportional.
<u>Table D</u>
These fractions are not equal. This is not proportional.
<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:
Now, the determinant of this matrix is:
Hence,
Answer:
x = 8
Step-by-step explanation:
x + y + 10 = 20
if y = 2,
=> x + 2 + 10 = 20
=> x + 12 = 20
=> x = 20 - 12
=> x = 8