Answer:
(x, y, z) = (1, -1, -4)
Step-by-step explanation:
A suitable graphing or scientific calculator can find the reduced row-echelon form for you. There are on-line calculators that will do that, too.
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In general, if you want to do this by hand, you want to use row operations on the augmented matrix to make the diagonal elements 1 and the off-diagonal elements 0 as shown in the attached result.
If a[i,j] represents the element at row i, column j, you do that by dividing row i by a[i, i] (to make a[i, i] = 1), then subtracting the product of row i and a[k,i] from row k. (for all rows k ≠ i) For this 3-row matrix, repeat these steps for i = 1 to 3.
In the general case of an n by n+1 augmented matrix, you will be doing n^2 row operations, each one involving evaluation of n+1 expressions. The work rapidly grows with matrix size, so readily justifies use of a calculator.
As with many "elimination" problems, appropriate choice of sequence can reduce the work. The above algorithm always produces the reduced row-echelon form, but may result in messy arithmetic along the way.
Answer:
s-c= m c
Step-by-step explanation:
Dollars per gallon because the dependent quantity is the dollars
Dollars is the dependent quantity because the amount you pay depends on how many gallons you've pumped.
The worth of the car in 10 years is $1,831.67 using an exponential equation approach.
What is an exponential equation?
An exponential equation is the one with exponents such X^3(the 3 is the exponent)
The exponential equation required here is the one where the future value would be lower than current value because the car reduces in value year-in-year-out.
FV=PV*(1-r)^N
FV=future worth of the car
PV=today's value=$25,000
r=depreciation rate=-23%
N=number of years=10
The fact that r is negative means the car is depreciating not appreciating.
FV=$25,000*(1-23%)^10
FV=$1,831.67
Find further explanation on exponential equation below in the link:
brainly.com/question/11832081
#SPJ1
Answer:
240- 360
Step-by-step explanation:
You have to find out how many minutes in an hour which is 60. Then multiply it by 2 for 2 hours to get 120. Then you multiply 2x120 to get 240. Then you multiply 3x120 to get 360.
I'm not sure if this is correct but this is how I would go about it. :)
