LessiA \( 2 / 1 / 24 \) Compito di Matematica Calcola il valore delle seguenti espressioni applicando, se possibile, le proprietà delle potenze: 1. \( \{5-3 \cdot(-4+7)-[(-8+3 \cdot 2): 2] \cdot(-3)\}:\left[(-54-9):(-3)^{2}\right] \)

Untuk menaiki permainan roda Ferris tersebut, pengunjung perlu membayar caj yang telah ditetapkan. Caj yang dikenakan kepada seorang kanak-kanak dan seorang dewasa ialah RM 4 dan RM 12 masing-masing. Azman membawa 7 ahli keluarga termasuk dirnya untuk mencuba permainan tersebut. Jumlah keseluruhan caj yang dibayar oleh Azman ialah RM 52 To ride the Ferris wheel game, visitors have to pay a charge. The charges for a kid and an adult are RM 4 and RM 12 respectively. Azman brought 7 family members including himself to try out the game. Total charge paid by Azman is RM 52 . i) Bentukkan 2 persamaan linear daripada situasi di atas Form 2 linear equations from the above situation [2 markah/marks] ii) Hitung bilangan kanak-kanak dan bilangan dewasa dalam kumpulan Azman tersebut. (penggunaan kaedah matriks adalah tidak dibenarkan) Calculate the number of children and the number of adults in Azman's group. (the using of matrix method is not allowed) [4 markah/marks]

b. read none of magazine at all c. read exactly one of the magazines. 3. Use Mathematical induction to prove that \( x^{n}+y^{n} \) is divisible by \( x+y \) for odd natural number \( n \geq 1 \). 4. Solve the equation \( z^{6}+1=\sqrt{3} i \) where \( z \in c \).

\( x=3f(x)=\frac{1}{2}x^{2}-\frac{1}{2} \)

2. Find the value of \( x \) if \( 9^{x+1}=27 \)

Add. State the sum in simplest form. \( \frac{a^{2}-6}{15 a^{3} b^{2}}+\frac{3}{10 a b^{2}} \) \( 0 \frac{a^{2}-3}{150 a^{4} b^{4}} \) \( \frac{a^{2}-3}{15 a^{3} b^{2}+10 a b^{2}} \) \( 0 \frac{a^{2}-3}{30 a^{3} b^{2}} \) \( \frac{11 a^{2}-12}{30 a^{3} b^{2}} \)