Question 8 Arielle's cell phone plan has a monthly charge of \( \$ 50 \), plus \( \$ 5 \) for every gigabyte of data used. If her bill this month was \( \$ 120 \), detormine how many gigabytes sho usod this month by solving for \( x \) in the following equation: \( -120=-5 x-50 \) 34 gigabytes 22 gigabytes 10 gigabytes 14 gigabytes

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

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 \( A=\left(\begin{array}{lll}1 & 2 & 3 \\ 4 & 5 & 6\end{array}\right) ; \quad B=\left(\begin{array}{ccc}-1 & 0 & 1 \\ 2 & -3 & 4\end{array}\right) \)

Exercice 1 1) Compléter avec l'un des symboles : \( \epsilon ; \notin ; \subset \) ou \( \notin \) \( \{0 ;-7 ; 12\} \ldots \ldots \mathbb{N}^{*} ; \frac{5 \pi-\pi}{2 \pi-\pi} \ldots . \mathbb{Q} ;\left\{-1 ; \frac{18}{6} ; \sqrt{36} ;-7\right\} \ldots . \mathbb{Z} ; \frac{7}{3} \ldots \ldots \) ID 2) donner l'écriture scientifique : \( A=\frac{4 \times 300^{2} \times\left(2 \times 10^{-6}\right)^{-2}}{(0.01)^{-3}} \)

Solve the equation: \( \sqrt{x + 4} = 6 \)