Use the given conditions to write an equation for the line in the indicated form. Passing through \( (4,2) \) and parallel to the line whose equation is \( y=-2 x+3 \) point-slope form

\( \left(I^{\text {st }}\right. \) Session 2022) If the ratio between the fourth term from the beginning to the fourth term from the end in the expansion of \( \left(\frac{a}{x}+\frac{x}{a}\right)^{2 n} \) equals \( a^{4}: x^{4} \) , then \( n=\cdots \cdots \) \( \begin{array}{llll}\text { (a) } 2 & \text { (b) } 4 & \left.\text { (where } x \in \mathbb{R}^{*}, a \in \mathbb{R}^{*}\right)\end{array} \)

Rationalize the denominator of \( \frac{7}{2 + \sqrt{3}} \).

3 Постройте график функцин \( y=-3 x+3 \). Найдите с помощью графика а) значение функции при \( x=1,5 \) б) при каком значении \( x \), значение функции равно \( 4,5 ? \) В) Приналлежит ли графику функци точка \( \mathrm{A}(2 ;-9) ? \)

If the two middle terms in the expansion of \( (a x+b)^{2 n+1} \) are equal, then find \( x \) \( a=2 b \)

Для матриць A та В знайти матриці: 1. \( \mathrm{A}+\mathrm{B} \); 2. \( 2 \mathrm{~A} ; \) 3. \( \mathrm{A}-\mathrm{B} ; \) 4. A * B \( A=\left(\begin{array}{lll}1 & 2 & 3 \\ 4 & 5 & 6\end{array}\right) ; \quad B=\left(\begin{array}{ccc}-1 & 0 & 1 \\ 2 & -3 & 4\end{array}\right) \)