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Home Question Bank Math Algebra Archive 2025 January 22

Algebra Questions from Jan 22,2025

Browse the Algebra Q&A Archive for Jan 22,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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10 A clothing store sells shirts and pants. The store's profit from each shirt is \( \$ 10 \) and from each pair of pants is \( \$ 15 \). If the store sells at feast 20 items and maties no more than tetal prefit of \( \$ 250 \), which system of equations represents this situation? A \( \quad x+y \geq 20 \) and \( 10 x+15 y \leq 250 \) B \( \quad x+y>20 \) and \( 35 x+10 y \leq 250 \) C \( x+y \leq 250 \) and \( 10 x+15 y \geq 20 \) D) \( 10 x+15 y \leq 20 \) and \( x+y \geq 250 \) 2. Simplify: \( 2 x y+10 x^{2}-9 x y \) A. \( 10 x^{-2}-7 \) B. \( 10 x^{-2}+11 x^{2} y^{2} \) C. \( 10 x^{2}+11 x y \) D. \( 10 x^{-2}-7 x y \) 20. \( -2(2 a-5 b)\left(3 a^{2}-a+2 b\right) \) 1. Simplify: \( -7 a^{2} b-2 a^{2} b \) A. -9 B. \( -9 a^{2} b \) C. \( -5 a^{2} b \) D. -5 3. Simnlifi. ections: Write your answer in the box. Evaluate the expression if \( s=2 \) and \( t=5 \). Write your solution in the box. \[ -4 s^{2}+t^{3} \div 5 \] 1. Given \( q \sqrt{b^{2}-4 a c} \) 1. Derermine the value of \( q \) if \( a=2, b=1 \) and \( c=-4 \) 2. State wheother q is rational or irrational. 3. Between which iwo consecutive incyers does q lie. \begin{tabular}{l} Which property proves the following statement true? \\ \( \qquad \) If \( a>b \) and \( c<0 \), then \( a c<b c \). \\ multiplication property of equality \\ division property of inequality \\ division property of equality \\ \hline\end{tabular} 20. \( -2(2 a-5 b)\left(3 a^{2}-a+2 b\right) \) \begin{tabular}{|l|}\hline 3 less than the quotient of 20 and \( x \) \\ \hline\end{tabular} Textbook Videos [+] Write the equation in logarithmic form. Assume that all constants are positive and not equal to 1 \( 10^{u}=r \) Ouestion Heln: Diden Moceane inctructor
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