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Algebra Questions & Answers

Q:
\begin{tabular}{c|l} The system has no solution. \\ The system has a unique solution: \\ \( \begin{array}{c}-x-3 y=-6 \\ x+3 y=6\end{array} \) & \( \begin{array}{l}\text { The system has infinitely many solutions. } \\ \text { They must satisfy the following equation: } \\ y=\square\end{array} \)\end{tabular}
Q:
What is the difference between the explicit formula and recursive formula for sequences when would you use one over the other​
Q:
Bepaal die waarde(s) van \( x \) waarvoor die volgende uitdrukking reëel sal wees: \( \frac{\sqrt{x+3}}{2} \)
Q:
0355. Постройте график линейной функции \( y=0,4 x \). Найдите по графику: а) значение \( y \), соответствующее значению \( x \), равному \( 0 ; 5 \);
Q:
o. \( 5 x^{3}-3-2 x^{3} \) q. \( x-9 x \) r. \( 6 x y^{2}+2 x^{2} y-x y^{2}+3 x^{4} \) s. \( 2 x^{2}-6 x+3 x+4 x^{2} \) t. \( \frac{9}{7} x^{3} y-2 x y^{3}+\frac{1}{7} y x^{3} \) u. \( 5 x^{3}+6 x^{3}+4 \) v. \( 2 m n^{2}-3 m^{2} n-5 m^{2} n^{2}+4 m n^{2} \) w. \( 6 x^{4}-3 x^{4}+7 \) x. \( \frac{5}{4} x^{3}-\frac{3}{5} x^{3}+5 x^{3} \) y. \( 6 x^{2}+5 x y^{2}+2 x^{2}-3 x y^{2} \)
Q:
Oorweeg die getalpatroon: 3.1.1 Toon aan dat hierdie reeks getalle 'n lineêre getalpatroon voorstel. 3.1.2 Bepaal die algemene reēl \( \left(T_{n}\right) \) van hierdie getalpatroon. 3.1.3 Bepaal watter term in die getalpatroon gelyk sal wees aan -61. 3.1.4 Bepaal \( T_{5} \) 3.1.5 Bepaal \( T_{5} \) en \( T_{55} \).
Q:
Los op vir \( x \) : \( \begin{array}{ll}2.1 .1 & 5(x+3)^{2}=125 \\ 2.1 .2 & 7 x^{2}=x \\ 2.1 .3 & 4^{x}=0,125\end{array} \)
Q:
Oorweeg die getalpatroon: 3.1.1 Toon aan dat hierdie reeks getalle 'n lineêre getalpatroon voorstel. 3.1.2 Bepaal die algemene reël \( \left(T_{n}\right) \) van hierdie getalpatroon. 3.1.3 Bepaal watter term in die getalpatroon gelyk sal wees aan -61. 3.1.4 Bepaal \( T_{5} \) 3.1.5 Bepaal \( T_{5} \) en \( T_{55} \).
Q:
a. \( 2 x-5 x \) b. \( 6 x^{4}-3 x^{4}+7 \) c. \( 3 a^{4}-2 a+2 a+a^{4} \) d. \( 2 a b^{2}+3 a b-5 a^{2} b+4 a b^{2} \) e. \( x^{3}-5 x-2 x^{3} \) f. \( -3 x^{4}-6 x^{4}+5 \) g. \( -7 m^{2} n^{2}+2 m n-2 m^{2} n^{2} \) h. \( 2 x^{2}+8 x^{2} \) i. \( 19 x^{4}-6 x^{4}+4 x^{2} \) j. \( 2 h^{3}-3 h^{2}-6 h^{3} \) k. \( -a^{4}-a+\frac{7 a y+a^{4}}{2}-\frac{2}{4} p^{3} n+5 p^{3} \)
Q:
Classify by number of terms: \[ 3 x^{3}-6 x \]

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