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Home Question Bank Math Algebra Archive 2025 January 27

Algebra Questions from Jan 27,2025

Browse the Algebra Q&A Archive for Jan 27,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Use the properties of rational exponents to simplify \( \frac{2^{2 / 3} \cdot 16^{2 / 3}}{4^{2 / 3}} \) Use the properties of rational exponents to simplify \( \left(5^{1 / 2} \cdot 5^{-3 / 2}\right)^{-1 / 4} \) siguientes ecuaciones de forma \( a x=b=c x \quad \) d \[ 6 x+5=4 x+17 \] \[ 4 x+7=2 x+15 \] \[ 7 x+2=4 x+11 \] \[ 8 x+3=5 x+12 \] \[ 6 x+8=4 x+6 \] \[ 6 x+5=4 x+11 \] \[ 7 x+6=5 x+4 \] Use the properties of rational exponents to simplify \( \left(\frac{8^{4}}{10^{4}}\right)^{-1 / 4} \) Ashley has two jobs: mowing lawns and babyshting, She earns 515 per hour moving lawne (n) and \( \$ 12 \) per hour babysitting (y). She wants to enarn at least ba00 per wenk Write an inequality in standard form to describe all the ways Abhley can combine her two jot to meet her weekly poal 5. Open Ended Consider-the inequality \( 3 x+7 \geq 25 \). Write a word problem that represents this inequality. Given: \( B=\left[\begin{array}{ll}7 & -3 \\ 5 & -1\end{array}\right] \quad C=\left[\begin{array}{cc}1 & -1 \\ 13 & -5\end{array}\right] \) Solve the equation: \( 2 X+B=C \) \( X=[\square \) \( \square \) DONE Given: \( \quad B=\left[\begin{array}{c}-8 \\ 4\end{array}\right] \quad C=\left[\begin{array}{c}22 \\ -9\end{array}\right] \) Solve the equation: \[ X+B=C \] \( X=\left[\begin{array}{l}\square \\ \text { DONE }\end{array}\right. \) Consider this Reduced-Row Echelon Form (RREF) of the augmented matrix of a system of linear equations: In the entry boxes provided below, enter the solutions for variables \( x_{1}, x_{2}, x_{3} \) in terms of \( x_{4} \) (one digit per box), where you will need to determine the coefficient of \( x_{4} \) and the constant that comes after it. \( x_{1}= \) \( x_{2}= \) Solve for \( g \). \( 1.5 \mathrm{~g}=4.2 \) \( g=\square \)
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