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Home Question Bank Math Algebra Archive 2024 November 27

Algebra Questions from Nov 27,2024

Browse the Algebra Q&A Archive for Nov 27,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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4. Solve the equation \( (\sqrt{2}-3) x=6 \), expressing \( x \) in the form \( a \sqrt{b}+c \). \( \mathrm{E}=\left[\begin{array}{rr}-1 & 4 \\ 5 & 2\end{array}\right] \) y \( \mathrm{C}=\left[\begin{array}{rr}1 & 2 \\ -1 & 1\end{array}\right] \). Sea \( \mathrm{H}= \) EC. Encuentra H . Solve for \( x \) and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution ( \( \varnothing \) ), leave the number line blank. \[ 13<-5 x+3 \text { or }-47 \geq-5 x+3 \] Solve for \( x \) and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution ( \( \varnothing \) ), leave the number line blank. \[ 3 x-2 \leq-26 \text { and } 3 x-2<31 \] 36: \( \frac{2^{10} \cdot 5^{3} \cdot\left(2^{3}\right)^{2} \cdot 5^{5}}{2^{3} \cdot 5^{3} \cdot 2^{8} \cdot 5^{4}}= \) Solve for \( x \) and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution \( (\varnothing) \), leave the number line blank. \[ -2>2 x+8 \text { or } 2 x+8 \leq 4 \] Question Solve for \( x \) and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution \( (\varnothing) \), leave the number line blank. \[ 3 x+3 \geq-27 \text { and }-15<3 x+3 \] Answer Attempt 1 out of 2 Solve for \( x \) and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution \( (\varnothing) \), leave the number line blank. \[ 38 \leq 4 x+2 \text { and } 4 x+2>46 \] Answer Attempt 1 out of 2 Inequality Notation: 3. Write \( \frac{2+3 \sqrt{2}}{-1+\sqrt{2}} \) in the form \( a+b \sqrt{2} \), where \( a \) and \( b \) are integers. Solve for \( x \) and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution ( \( \varnothing \) ), leave the number line blank. \[ -3 x+4 \leq-23 \text { and }-29 \geq-3 x+4 \] Answer Attempt 1 out of 2
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