Algebra Questions from Nov 06,2024

Browse the Algebra Q&A Archive for Nov 06,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\( 228 cm ^ { 3 } \times \frac { 25 } { 3 } = h \) Solve using the Quadratic Formula. \( \begin{array}{l}x^{2}-4 x+1=0 \\ x=2 \pm \sqrt{3} \\ x=\frac{-4 \pm \sqrt{5}}{2} \\ x=\frac{4 \pm \sqrt{3}}{2} \\ x=2 \pm \sqrt{5} \\ x\end{array} \) \begin{tabular}{l} Determine the number and type of solutions of the \\ quadratic equation. \\ \( 4 x^{2}-3 x+1=0 \) \\ two imaginary solutions \\ one imaginary solution \\ two real solutions \\ one real solution \\ \hline\end{tabular} 1. \( \frac{a+2}{a^{2}+2 a+4} \cdot \frac{a^{3}-8}{2 a^{2}-8} \) system by back substitution. \( \begin{array}{l} x+4 y+5 z=3 \\ 4 y+3 z=0 \\ 2 z=8 \\ \begin{array}{ll}\text { A) }(-6,-3,4) & \text { B) }(-5,-3,4)\end{array}\end{array} \) Determine the number and type of solutions of the quadratic equation. \( x^{2}+10 x-25=0 \) two imaginary solutions one imaginary solution two real solutions one real solution 6.4: Homework Score: \( 14.5 / 16 \) Answered: \( 15 / 16 \) Question 16 If \( \log _{2}(3 x+3)=2 \), then \( x=\square \) Question Help: D Video 1. \( \frac{a+2}{a^{2}+2 a+4} \cdot \frac{a^{3}-8}{2 a^{2}-8} \) Solve using the Quadratic Formula. \( \begin{array}{l}5 x^{2}+x+3=0 \\ x=\frac{-1 \pm i \sqrt{59}}{10} \\ x=\frac{-1 \pm 2 \sqrt{15}}{10} \\ x=\frac{-1 \pm 2 i \sqrt{15}}{2} \\ x=\frac{-1 \pm i \sqrt{59}}{2}\end{array} \) \begin{tabular}{l} Determine the number and type of solutions of \\ \( 4 x^{2}-5 x+1=0 \) \\ two imaginary solutions \\ \hline one real solution \\ \hline one imaginary solution \\ \hline two real solutions \end{tabular}
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