Given the transition matrix p and the? initial-state matrix upper s 0s0 ? below, find upper p superscript 4p4 and use upper p superscript 4p4 to find upper s 4s4. a b upper ppequals= a b left bracket start 2 by 2 matrix 1st row 1st column 0.8 2nd column 0.2 2nd row 1st column 0.3 2nd column 0.7 endmatrix right bracket 0.8 0.2 0.3 0.7 ? ; upper s 0s0equals= left bracket start 1 by 2 matrix 1st row 1st column 0.1 2nd column 0.9 endmatrix right bracket

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct

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