Algebra Questions from Feb 03,2025

Browse the Algebra Q&A Archive for Feb 03,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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W) Given \( f(x)=-\frac{1}{3} x+10 \). The slope is multiplied by 6 and the \( y \)-intercept divided by -5 . Choose the resulting equation: __ \( y=-2 x-2 \) \( y=2 x+2 \) \( y=2 x-2 \) \( y=-2 x+2 \) Subtract the constant term from both sides. \( 3 x+\square=4 y \) What is the solution to the system of equations? \( \begin{array}{l}4 x+2 y=-1 \\ 3 x+4 y=3 \\ \text { A. }\left(1, \frac{2}{3}\right) \\ \text { B. }\left(-1, \frac{2}{3}\right) \\ \text { C. }\left(1, \frac{3}{2}\right) \\ \text { D. }\left(-1, \frac{3}{2}\right)\end{array} \) Subtract. \( \begin{array}{r}8 y^{2}-6 y+5 \\ \frac{-\left(-2 y^{2}+6 y+9\right)}{} \\ \hline \frac{-\left(-2 y^{2}+6 y+9\right)}{\square}\end{array} \) Add the opposite of the \( y \)-term to both sides. \( \begin{aligned} 3 x-4 y & =8 \\ 3 x & =\square+8\end{aligned} \) \( \square \square \) 4) Given \( f(x)=-\frac{1}{3} x+10 \). The slope is multiplied by 6 and the \( y \)-intercept divided by -5 Describe the changes to parameters \( m \) and \( b \) : The \( y \)-intercept shifts down by 12 . The slope gets steeper. The slope gets less steep. The \( y \)-intercept shifts up by 8 . 11) \( \frac{x}{3 x^{2} y}+\frac{x+1}{6 x^{2} y^{2}}-\frac{3}{9 x y} \) A. Solve the linear equation in \( x \) and \( y \) for \( y \) and get the resulting equation in the form \( y=m x+ \) B. Multiply the equation by -1 . C. Divide both sides of the equation such that the coefficient of \( y \) is 1 . D. Find a point on the line. What do the values of \( m \) and \( b \) represent? A. The number \( m \) represents the slope of the line and the number \( b \) represents the \( y \)-intercept. B. The number \( m \) represents thet- slope of the line and the number \( b \) represents the \( x \)-intercept. C. The number \( m \) represents the \( y \)-intercept and the number \( b \) represents the slope of the line. D. The number \( m \) represents the \( x \)-intercept and the number \( b \) represents the slope of the line. \( y \) varies directly with \( x \). \( y \) is 49 when \( x \) is 7 . What is \( x \) when \( y \) is \( 77 ? \) \( x=[?] \) Cameron works at an electronics store as a salesperson. Cameron earns a \( 4 \% \) commission on the total dollar amount of all phone sales he makes, and earns a \( 6 \% \) commission on all computer sales. Cameron made a total of \( \$ 3600 \) in sales and earned \( \$ 178 \) in commission. Write a system of equations that could be used to determine the dollar amount of phone sales Cameron made and the dollar amount of computer sales he made. Define the variables that you use to write the system. Answer Attempt 1 out of 2 Let System of Equations: Let
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