The augmented matrices of the three systems are given below. \( \left.\begin{array}{rrrr}1 & a & 0 & 4 \\ 1 & 0 & 1 & -2 \\ 0 & 0 & b & 1 \\ 0 & 0 & 0 & 0\end{array}\right] \) where \( a, b \in \mathbb{R} \) with \( b \neq 0 \). How many solutions are there in this case? Infinitely many solutions None of the given options is true given options are correct Exactly one solution No solutions

5.7 Determine the equation of \( h \) if \( h(x)=g(x+1)-2 \)

Diketahui sistem persamaan tinier berikut ini : \[ \begin{array}{l}-1 x+y+2 z=2 \\ 3 x-1 y+z=6 \\ -1 x+3 y+4 z=4\end{array} \] Tentukan solusi persamaan linear tersebut menggunakan metode gauss!

a. \( \frac{2 x^{3}+6 x-6}{x^{3}-1} \)

Roger was told to think of a number, add 20 , then divide the result by 3 . The answer was Jower than Roger's original number. Deteruine the range of possible numbers Roger may have originally chosen.

8. \( \frac{\sqrt{27 a^{3} b^{6}}}{\sqrt{3 a b^{6}}-5 a b^{2}}= \)