Answer:
Remember, a homogeneous system always is consistent. Then we can reason with the rank of the matrix.
If the system Ax=0 has only the trivial solution that's mean that the echelon form of A hasn't free variables, therefore each column of the matrix has a pivot.
Since each column has a pivot then we can form the reduced echelon form of the A, and leave each pivot as 1 and the others components of the column will be zero. This means that the reduced echelon form of A is the identity matrix and so on A is row equivalent to identity matrix.
First, you need to convert the minutes into hours, to do this you divide the minutes by 60 (the amount of minutes in an hour). Once you've gotten the value (which is 2.5), you divide that by the amount of miles drove, then you get the unit rate, or in other words the kilometers per hour, which equals 49.6 km/h
Answer:
x=0
Step-by-step explanation:
2(x+4)- 5 = 3x+3
Distribute
2x+8-5 = 3x+3
Subtract x values
8-5 = x+3
3 = x+3
Final Subtraction
x = 0
Yes if u can multiply 10 by 1000 then it is a multiplication fact
Answer:
x = 39.1
Step-by-step explanation:
To find the mean, add up all the data points and then divide by the number of data points
(31.7+ 42.8+ 26.4+ x)/4 = 35
Multiply each side by 4
(31.7+ 42.8+ 26.4+ x)/4*4 = 35*4
(31.7+ 42.8+ 26.4+ x) = 140
Combine like terms
100.9+x = 140
Subtract 100.9 from each side
x = 140-100.9
x = 39.1
