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Hogar Banco de preguntas Matemáticas Álgebra Archive 2024 November 26

Algebra Questions from Nov 26,2024

Browse the Algebra Q&A Archive for Nov 26,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Solve the system by substitution. \[ \begin{array}{r}4 x+8 y=24 \\ -2 x+y=18\end{array} \] The solution set is \( \left\{\begin{array}{l}\text { (Simplify your answer. Type an ordered pair.) }\end{array}\right. \) ( Solve the system of equations using substitution. \( \begin{aligned} 5 x+y & =7 \\ y & =2 x\end{aligned} \) 6. Given \( f(x)=\frac{x-12}{x+24} \), find \( f(-12) \) Solve the logarthmic equation. \( \log _{2}(x+2)+\log _{2}(x-2)=5 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is \( \{ \). Type an exact solution, using radicals as needed. Use a comma to separate answers as needed.) B. The solution is the empty set. Equations Step 1: Answer the questions below after watching the video on systems of Linear Equations. \( 8 \mathrm{x}-2 \mathrm{y}=-4 \) \( -4 \mathrm{x}+\mathrm{y}=2 \) Question 1: Solve the given systems of linear equations using the substitution method or elimination method. Question 2: How many solutions are there? \( 1 \leftarrow \quad \begin{array}{l}\text { Solve for } x \\ \log _{6} x+\log _{6}(x-5)=2\end{array} \) Multiply \[ (5-7 i)(5+7 i) \] \( (5-7 i)(5+7 i)=\square \) (Simplify your answer. Type your answer in the form \( a+b i \) Solve. \[ \begin{array}{l}\log _{6}(4 x-7)=4 \\ \text { A. The solution set is }\{\text { the correct choice below and, if necessary, fill in the answer box to complete your choice. } \\ \text { (Type an integer or a fraction.) } \\ \text { B. The solution is the empty set. }\end{array} \text {. } \] Solve. \[ \begin{array}{l}\log _{6}(4 x-7)=4 \\ \text { A. The solution set is }\} \text {. }\} \text {. The correct choice below and, if necessary, fill in the answer box to complete your choice. } \\ \text { (Type an integer or a fraction.) }\end{array} \] B. The solution is the empty set. Solve the exponential equation. Express irrational solutions as decimals correct to the nearest thousandth. \( 5^{x-3}=3^{2 x} \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is \{ \} (Round to the nearest thousandth as needed. Use a comma to separate answers as needed.) B. The solution is the empty set.
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