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Home Question Bank Math Algebra Archive 2025 January 06

Algebra Questions from Jan 06,2025

Browse the Algebra Q&A Archive for Jan 06,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Question Moussa is taking a multiple Video choice test with a total of 50 points available. Each question is worth exactly 2 points. What would be Moussa's test score (out of 50 ) if he got 5 questions wrong? What would be his score if he got \( x \) questions wrong? You only have 3 questions left to raise your score. Question Watch Video Show Examples Moussa is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 2 points. What would be Moussa's test score (out of 50) if he got 5 questions wrong? What would be his score if he got \( x \) questions wrong? Answer Attempt 1 out of 2 For \( f(x)=-2 x+5 \), find the value of \( f(-1)+ \) For \( f(x)=-\frac{3 x}{5}+1, f(-20)= \) \( \begin{array}{ll}\text { (a) } 2^{x+1}+2^{x}+2^{x-1}=28 & \text { (d) } 5^{x+1}+5^{x}+5^{x-1}=775 \\ \text { (b) } 3^{x+2}+3^{x+1}+3^{x}+3^{x-1}=120 & \text { (e) } 2^{x-1}+2^{x-2}+2^{x-3}+2^{x-4}=960 \\ \text { (c) } 4^{x}+4^{x-1}+4^{x-2}=336 & \text { (f) } 2^{2 x}+2^{2 x-1}+2^{2(x-1)}+2^{2 x-3}+2^{2(x-2)}=1\end{array} \) The width of a rectangle is \( 6 y-7.5 \) feet and the length is \( 7.5 y+8 \) feet. Find the perimeter of the rectangle. 2. 3. Given that \( k^{-4} \times k^{n}=\frac{1}{k} \), find the value of \( n \) Dada la matriz \( A=\left(\begin{array}{rrr}1 & -1 & 1 \\ m & n & 1 \\ 1 & 1 & 2\end{array}\right) \). a) Obtenga los valores de \( m \) y \( n \) para que \( A \) coincida con su traspuesta y no tenga inversa, b) Para \( m=0 \) y \( n=3 \), obtenga \( A^{-1} \). c) Para \( m=0 \) y \( n=3 \), resuelva la ecuación matricial \( X \cdot A+2 I_{3}=A^{2} \) A bottle contains 4 grams of green powder and 4 grams of pink powder. How many grams of pink powder must be added into the bottle to create a mixture that is 3 parts green powder to 5 parts pink powder by volume? Design An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is \( x \). Another side is 4 more than four times the length of the bottom of the triangle. The last side is 14 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.
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