The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwisestate
that there is no solution. Use x1, x2, x3 as variables.
1 answer:
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Answer:
Step-by-step explanation:
The populational growth is exponential with a factor of 1.12 each year. An exponential function has the following general equation:
Where 'a' is the initial population (25,000 people), 'b' is the growth factor (1.12 per year), 'x' is the time elapsed, in years, and 'y(x)' is the population after 'x' years.
Therefore, the function P(t) that models the population in Madison t years from now is:
Kx-3y=k
y=4x+1 ( we will put it in 1st equation )
kx - 3 (4x+1)=k
kx - 12 x - 3 =k
kx - 12 x = k+3
x(k-12) = k+3
x=
Also y=
We can not divide with zero.
k-12=0
k=12
For k= 12 equations have no solutions.
y=4x+1 ( we will put it in 1st equation )
kx - 3 (4x+1)=k
kx - 12 x - 3 =k
kx - 12 x = k+3
x(k-12) = k+3
x=
Also y=
We can not divide with zero.
k-12=0
k=12
For k= 12 equations have no solutions.