Tema
Q:
Find the points of intersection for the system
\[ \begin{array}{l}\mathrm{y} \geq 2 \mathrm{x}^{2}+3 \mathrm{x}-20 \\ \mathrm{y} \leq \mathrm{x}^{2}+\mathrm{x}-5\end{array} \]
Q:
Which expression is equivalent to \(( x^ { \frac { 3} { 7} } ) ^ { 2} \) ?A. \(x^ { \frac { 6} { 14} } \)B. \(x^ { \frac { 17} { 7} } \)C. \(x^ { \frac { 6} { 7} } \)D. \(x^ { \frac { 5} { 7} } \)
Q:
Solve the system of quadratic inequalities:
\[ \begin{array}{l}y<x^{2}-4 \\ y>-x^{2}+2\end{array} \]
Q:
Write the following tractions in
words
\( \begin{array}{llll}\frac{4}{6} & \text { (2) } \frac{5}{7} & \text { (3) } \frac{4}{9}\end{array} \)
Q:
A rectangular field 225 ft by 120 ft has a ring of uniform with cut around
the outside edge. The ring leaves \( 65 \% \) of the field uncut in the center. What
is the width of the ring?
Q:
Solve the system of quadratic inequalities:
\[ \begin{array}{c}y>x^{2}-1 \\ y \leq-2 x^{2}+5\end{array} \]
Q:
б) \( \left\{\begin{array}{l}(x+3)^{2}+(2 y+1)^{2}=x^{2}+4 y^{2}+16 \\ 3 y-7 x=16\end{array}\right. \)
39.20. а) \( \left\{\begin{array}{l}(3 a-2 b)(2 a+5 b)=0, \\ 5 a-4 b+2=0\end{array}\right. \)
б) \( \left\{\begin{array}{l}(a+2 b+1)(3 a-4 b-2)=0 \\ 5 b-2 a-8=0\end{array}\right. \)
39.21. а) \( \left\{\begin{array}{l}(2 x-3 y)^{2}-(5 x+y)^{2}=0 \\ 5 x-2 y=1\end{array}\right. \)
б) \( \left\{\begin{array}{l}(x+4 y)^{2}-(3 x-y)^{2}=0 \\ 3 x-7 y=1\end{array}\right. \)
Q:
Given the quadratic function \( f(x)=x^{2}-8 x+7 \)
a. Find \( f(x+h) \)
Q:
Soit \( m \) et \( n \) deux réels tels que \( m=4-3 \sqrt{2} \) et
\( n=2+\frac{3}{2} \sqrt{2} \).
a) Montre que le réel \( m \) est négatif.
b) Montre que \( \mathrm{m}^{2}=34-24 \sqrt{2} \). Calcule \( n^{2} \)
forme \( a+b \sqrt{2} \) avec \( a \) et \( b \) deux entiers relatifs.
d) Justitie que \( m^{2}+4 n^{2}=68 \).
Q:
Find the average rate of change of \( h(x)=-2 x^{2}-5 x \) from \( x=-4 \) to \( x=1 \).
Simplify your answer as much as possible.
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