Topic
Q:
2) \( x^{2}-8 x+12=0 \)
Q:
14) Classifique o sistema a seguir em possível e determinado,
possível e indeterminado ou impòssível.
\( \left\{\begin{array}{l}3 x+4 y=12 \\ x+y=5\end{array}\right. \)
Q:
Factor by grouping: \( 4xy - 8x + 5y - 10 \)
Q:
irections: Solve for N on the following given number sentences.
\( \begin{array}{ll}\text { 1. } 6 \times 7=\mathrm{N} & \text { 6. }(-5) \times(-18)=\mathrm{N} \\ \text { 2. }(-9) \times 24=\mathrm{N} & \text { 7. } 17 \times(-13)=\mathrm{N} \\ \text { 3. } 56 \times 8=\mathrm{N} & \text { 8. }(-29) \times 2=\mathrm{N} \\ \text { 4. }(-12) \times 15=\mathrm{N} & \text { 9. }(-4) \times(-13)=\mathrm{N} \\ \text { 5. } 14 \times(-11)=\mathrm{N} & \text { 10. }(-17) \times(-25)=\mathrm{N}\end{array} \)
Q:
13) Classifique o sistema a seguir em possível e determinado,
possível e indeterminado ou impossível.
\[ \begin{array}{c}x+y=12 \\ 3 x+3 y=15\end{array} \]
Q:
Calculer les fonctions dérivées des fonctions suivantes
1) \( f(x)=-\frac{3}{4} x^{2}-12 x+9 \)
2) \( g(x)=5 x^{4}-6 x^{3} \)
Q:
(1) \( \lim _{x \rightarrow \infty} \frac{4 x^{2}+1}{x^{3}-3 x} \)
Q:
42. \( A B C \) is an isosceles triangle such that
\( A B=A C \)
\( A \) has coordinates \( (4,37) \)
\( B \) and \( C \) lie on the line with equation \( 3 y=2 x+12 \)
Find an equation of the line of symmetry of triangle \( A B C \).
Give your answer in the form \( p x+q y=r \) where \( p, q \) and \( r \) are integers.
Show clear algebraic working.
Q:
3) Determinar la condición que debe cumplir el escalar \( a \) para que el siguiente sistema admita solución
distinta de la trivial \( \left[\begin{array}{ccc}1 & -2 & 1 \\ 2 & 1 & 1 \\ 0 & a & -1\end{array}\right] . X=0 \)
Q:
f) \( \sqrt[4]{\left(\frac{1}{5}\right)^{-1}+2^{-4}}-\frac{4}{5}+3^{2} \cdot 20^{-1}= \)
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