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Home Question Bank Math Algebra Archive 2024 November 24

Algebra Questions from Nov 24,2024

Browse the Algebra Q&A Archive for Nov 24,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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6. Simplify the following algebraic expressions a. \( \frac{x+1}{2} \times \frac{1}{x+1} \) 5. Show the expanded form of the following a. \( (x+3)(x-2) \) 'IDadas as formulas abaixo, construa as sequencias numéricas ate o \( 10^{\circ} \) numeral: \( \begin{array}{llll}\mathrm{P}=n^{3}-3 n+2 & \text { b) } \mathrm{P}=n^{2}+2 n-5 & \text { c) } \mathrm{P}=n^{3} \cdot 5 n^{2}+7 n-1 \quad & \text { d) } \mathrm{P}=n^{2}-5 n+8\end{array} \) Question 22 * For what value or values of \( x \) is \( \sqrt{x^{2}+9} \) a real number? If \( 5^{3 x} \div 1 \div 25=125 \), then sind the value of \( x \) Solve the system by using the inverse of the coefficient matrix. \[ \begin{array}{ccc}A^{-1}=\left[\begin{array}{ccc}\frac{53}{288} & \frac{2}{9} & \frac{65}{288} \\ -\frac{7}{144} & \frac{1}{9} & \frac{5}{144} \\ \frac{1}{32} & 0 & -\frac{3}{32}\end{array}\right] \\ \begin{aligned} 3 x-6 y+5 z & =75 \\ x+7 y+5 z & =-56 \\ x-2 y-9 z & =25\end{aligned} \\ \text { The solution set is }\{(\square, \square, \square)\}\end{array} \] Try again Question 8 Find the solution of the exponential equation \( 8 e^{x}-5=13 \) The exact solution, in terms of the natural logarithm is: \( x= \) The approximate solution, accurate to 4 decimal places is: \( x=\square \) (19) Dessage instructor a. \( 2 x+\frac{3}{5}=3+\frac{1}{6} \) Solve the equation. \( -0.8(0.2-4 x)=2.2 x-2.6 \) Solve the system by using the inverse of the coefficient matrix. \( \left.\qquad \begin{array}{ccc}\frac{53}{288} & \frac{2}{9} & \frac{65}{288} \\ -\frac{7}{144} & \frac{1}{9} & \frac{5}{144} \\ \frac{1}{32} & 0 & -\frac{3}{32}\end{array}\right] \) \( \begin{aligned} 3 x-6 y+5 z & =75 \\ x+7 y+5 z & =-56 \\ x-2 y-9 z & =25\end{aligned} \)
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