91.40 - 50.00 = 41.40
41.40 ÷ .45 = 92
David sent 92 text messages.
(sorry if the format is wrong)
Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Step-by-step explanation: The given system of linear equations is :

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.
The determinant of the co-efficient matrix is given by

Now, from equations (ii) and (iii), we have

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

From equations (iv) and (v), we get

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.
Answer:
6x+19
Step-by-step explanation:
First thing first, we need to multiply the 6 into the equation. We do this by multiplying the x and 2 by 6.
6(x+2)+7
Multiply
6x+12+7
Now we need to combine like terms by adding the 12 and 7
6x+19
There it is simplified.
9514 1404 393
Answer:
Step-by-step explanation:
The bottom dot and the top dot are on a line with two other dots, the one at (0, 1) and the one at (1, 4). That line has a rise/run = 3/1. The point (0, 1) is its y-intercept, so its equation can be ...
y = 3x +1
The left dot and the lower right dot are on a line with three other dots. One of those (1, 4) is shared with the previous line. This line has a rise/run = 1/1. The point (0, 3) is its y-intercept, so its equation can be ...
y = x + 3
These two equations capture all of the coins.
Answer:
Karen
Step-by-step explanation:
Karen because it took bob and extra minute to walk the last mile.