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Algebra Questions & Answers

Q:
Which of the following functions has a graph that is symmetric about the \( y \)-axis? Select all that apply. \( \square \) A. \( y=|x| \) \( \square \) B. \( y=\sqrt{x} \) \( \square \) C. \( y=\frac{1}{x} \) \( \square \) D. \( y=x^{3} \)
Q:
7. \( \frac{12^{7}}{9^{3} \cdot 2^{10}} \) ifadosinin qiymotini hesablaym. \( \begin{array}{llll}\text { A) } 40 & \text { B) } 42 & \text { C) } 46 & \text { D) } 48\end{array} \) \( \begin{array}{lll}\text { 8. } \frac{4^{5} \cdot 3^{9}}{6^{8}} & \text { ifadosinin qiymotini hesablayın. }\end{array} \)
Q:
\( \begin{array}{ll}\text { 3.1 Factorisethe following: } \\ \text { 3.1.1 } & 2 x^{2}-x-15 \\ \text { 3.1.2 } & -a^{2}-5 a-4 \\ \text { 3.1.3 } & x^{3}+8\end{array} \)
Q:
2. Two leaking water containers have a total capacity of 760 . If they both leak 204 per hour, find the capacity of each container If one of the containers have 4 times the amount of water than the other after 9 hours.
Q:
When a polynomial \( P(x) \) is divided by \( 4 x-1 \), the remainder is \( R \). When \( P(x) \) is divided by \( 1-4 x \), the remainder is \( \begin{array}{ll}\text { A. } 4 R . & \text { B. } \quad R . \\ \text { C. }-\frac{1}{4} R . & \text { D. }-R .\end{array} \)
Q:
When \( x^{3}-x+4 \) is divided by a polynomial \( f(x) \), the quotient and the remainder are \( x^{2}+2 x+3 \) and 10 respectively. Find the polynomial \( f(x) \).
Q:
1. निम्न द्विघात बहुपदों के शून्यक ज्ञात कीजिए और शून्यकों तथा गुणांकों के बीच के संबंध की सत्यता की जाँच कीजिए : \( \begin{array}{lll}\text { (i) } x^{2}-2 x-8 & \text { (ii) } 4 s^{2}-4 s+1 & \text { (iii) } 6 x^{2}-3-7 x\end{array} \)
Q:
б) \( \frac{x}{16}=\frac{x}{4} \);
Q:
A tailor charges a basic fee of \( \$ 50 \) plus \( \$ 15.50 \) per letter to sew an athlete's name on the back of a jacket. Write a linear equation that will find the cost \( c \) to have a name containing \( x \) letters sewn on the back of a jacket.
Q:
se elimination and back-substitution to solve the following system of linear equations. \[ \left\{\begin{array}{c}x-y+z=0 \\ 2 x+y-3 z=0 \\ 4 x+2 y-6 z=0\end{array}\right. \] Name:

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