Answer: The system of equations is:
x + 2y + 2 = 4
y - 3z = 9
z = - 2
The solution is: x = -22; y = 15; z = -2;
Step-by-step explanation: ONe way of solving a system of equations is using the Gauss-Jordan Elimination.
The method consists in transforming the system into an augmented matrix, which is writing the system in form of a matrix and then into a <u>Row</u> <u>Echelon</u> <u>Form,</u> which satisfies the following conditions:
- There is a row of all zeros at the bottom of the matrix;
- The first non-zero element of any row is 1, which called leading role;
- The leading row of the first row is to the right of the leading role of the previous row;
For this question, the matrix is a Row Echelon Form and is written as:
or in system form:
x + 2y + 2z = 4
y + 3z = 9
z = -2
Now, to determine the variables:
z = -2
y + 3(-2) = 9
y = 15
x + 30 - 4 = 4
x = - 22
The solution is (-22,15,-2).
Answer:
Garage A- 3x12+10=46
Garage B- 4x12+3=51
Garage A is $5 cheaper than Garage B when parking for 12 hours
Step-by-step explanation:
You plug in the variables given to each garage into y=mx+b. Both Garage A and B have a constant (A-$10, B-$3). X in this equation would be the number of hours and m is the amount charged per hour.
I would say he can because 1+1 = 2
Answer:
7.6
Step-by-step explanation:
(4−(−3))2+(−2−1)2
=7^2+(−2−1)2
=49+(−2−1)2
=49+(−3)^2
=49+9
=58
=7.6