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Home Question Bank Math Algebra Archive 2025 January 20

Algebra Questions from Jan 20,2025

Browse the Algebra Q&A Archive for Jan 20,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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The graph of \( f(x)=(x-3)^{2}+5 \) has a shift of 5 units in which direction? \( \left[\begin{array}{l}{[x, 7} \\ \text {. Solve using substitution. }\end{array}\right. \) \[ \begin{array}{l} -4 x+y=16 \\ -2 x+y=6 \end{array} \] \( \square \) , \( \square \) ) Submit \[ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}, \quad x_{1} \neq x_{2} \] Let the first point be \( P=(-1,1) \) and the second point be \( Q=(4,-1) \). Substitute values for the numerator. \( m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{\square-(\square)}{x_{2}-x_{1}} \) 5(a) (a) Using Cramer's rule to determine \( x+y \), if \( \left[\begin{array}{cc}5 & -3 \\ 4 & 2\end{array}\right]\left[\begin{array}{l}x \\ y\end{array}\right]=\left[\begin{array}{c}-1 \\ -8\end{array}\right] \) (b) Given IS equation \( 0.4 Y+100 I-255=0 \) and the \( L M \) equation \( 0.25 Y-200 \mathrm{I}-177=0 \). Use matrix form to find the equilibrium level of income and rate of interest. The value of a painting \( n \) years after it was painted is given by this formula: value in pounds \( (£)=300 \times 1.24^{n} \) a) What was the original value of the painting? b) By what percentage does the value of the painting increase each year? Determine whether the statement below is true or false. The slope of the line \( 2 y=4 x+5 \) is 4 . Choose the correct answer below. False 1. \( 2 x+3 y=20 \) 2. \( x-2 y=3 \) 15. Solve for \( \mathrm{v}: v \cdot \frac{5}{12}=30 \) 14. Find the value of \( \mathrm{c}: c \div \frac{3}{8}=24 \) 13. What number multiplied by 1.75 equals 35 ?
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