Around 70-80 depending on how many people I’m texting
Answer:
The system is consistent because the rightmost column of the augmented matrix is not a pivot column.
Step-by-step explanation:
It is given that the coefficient of the matrix of a linear equation has a pivot position in every row.
It is provided by the Existence and Uniqueness theorem that linear system is said to be consistent when only the column in the rightmost of the matrix which is augmented is not a pivot column.
When the linear system is considered consistent, then every solution set consists of either unique solution where there will be no any variables which are free or infinitely many solutions, when there is at least one free variable. This explains why the system is consistent.
For any m x n augmented matrix of any system, if its co-efficient matrix has a pivot position in every row, then there will never be a row of the form [0 .... 0 b].
Answer:
41.16 m³
Step-by-step explanation:
Volume = area triangle x height
1/2(2.8x4.2) = 1/2( 11.76) = 5.88
5.88 x 7 = 41.16
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4 baskets as the largest number divisible by 32 is 8 and the other 2 are also divisible by 8
Answer:
6
Step-by-step explanation:
If you solve for x you get your answer. First, 20 - 10 gets you 10. Then you subtract that 10 from both sides of your equation so it now looks like 5x = 30. Last you divide both sides by 5 and get x = 6.