Answer:
Step-by-step explanation:
Given is a system of equations as
![x1-4x2 - x4 = -7\\ \\x2 - 2x4 = 3 \\\\x4 + 2x5 = 3](https://tex.z-dn.net/?f=x1-4x2%20-%20x4%20%3D%20-7%5C%5C%20%5C%5Cx2%20-%202x4%20%3D%203%20%5C%5C%5C%5Cx4%20%2B%202x5%20%3D%203)
We have 5 variables and 3 equations
a) coefficient matrix of this system is
1 -4 0 -1 0\\
0 1 0 -2 0\\
0 0 0 1 2\\
We find that x3 has no coefficient in any of the equations so we can omit x3 and write as equations for 4 variables as
1 -4 -1 0\\
0 1 -2 0\\
0 0 1 2\\
b) Augmented matrix is
1 -4 -1 0\\ 7
0 1 -2 0\\
3
0 0 1 2\\3
c) For row operations to ehelon form
we can do R1+4R2 = R1
We get
1 0 -9 0 \\ 19
0 1 -2 0 \\ 3
0 0 1 2 \\ 3
Now let us do R1 = R1+9R3 and R2 = R2+2R3
1 0 0 0 \\ 46
0 1 0 0 \\ 9
0 0 1 2 \\ 3
d) We find that there are infinite solutions to the system in parametric form, since x4 and x5 are linked with only one equation
e) x1 = 46, x2 = 9, x4+2x5 =3
Or x1 =46, x2 =9, x4 = 3-2x5, x5 = x5 is the parametric solution
Answer:
y = 25x+100
Step-by-step explanation: You are paying 25$ times how many months he stayed there, plus a 100 dollar sign up fee, so y = 25 dollars per month, plus 100 dollars.
The time taken to get to the 4th can be obtained by dividing the distance given by the speed of the lift.
Distance, height from ground to 4th floor = 42 feets
Time taken to get to the 4th floor = t
Recall :
Time = Distance / speed
- We aren't given the speed of the lift ;
- Assume speed of lift is 7 ft/sec
The time taken to get to the 4th floor will be :
Therefore, to obtain the time taken, divide the distance or height of the 4th floor by the speed of the lift.
Learn more : brainly.com/question/13218948
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