Answer:
A.
B. (0.85 0.15)
C. 79.2% population in the city while 20.8% population in the suburb
Step-by-step explanation:
(a) The transition matrix for the information is
C S
(b) the probability vector for the information is
and this gives us
(0.85 0.15)
(c) we simply multiply the above two matrices to find the percent of the population can be expected to be in each category after one year after
in the city there are 79.2% while in the suburb, there are 20.8%
9514 1404 393
Answer:
x = -2, x = -1
Step-by-step explanation:
A graphing calculator solves this nicely, as shown in the attachment.
x = -2, x = -1
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The given equation resolves to two equations.
<u>x+3 < 0</u>
-(x +3) -1 = (x +2)^2
x^2 +5x +7 = 0
Checking the discriminant, we find ...
b^2 -4ac = (5)^2 -4(1)(7) = 25 -28 = -3
There are only complex solutions to this equation.
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<u>x+3 ≥ 0</u>
x +3 -1 = (x +2)^2
(x +2)^2 -(x +2) = 0 . . . .subtract x+2
(x +2)(x +2 -1) = 0 . . . . . factor
Solutions are values of x that make these factors zero.
x +2 = 0 ⇒ x = -2
x +1 = 0 ⇒ x = -1
<em>Domain Check</em>
x +3 = -2 +3 = 1 > 0 . . . . as required.
