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Home Question Bank Math Algebra Archive 2024 December 09

Algebra Questions from Dec 09,2024

Browse the Algebra Q&A Archive for Dec 09,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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12 Write the unknown number \( 7 \times 8=7 \times(2 \times m) \) 8. \( \quad 4(x-6)^{2} \) Find the \( y \)-intercept and vertex for the following function: \( f(x)=4 x^{2}-6 x+c \) Express your answers in terms of \( c \) where appropriate. Kadesha is simplifying the expression below. \( -(x-3)-2(x-1) \) She lists the steps that she uses to simplify the expression as follows: Step 1: Distribute -1 through \( (x-3) \), and distribute -2 through \( (x-1) \). Step 2: Rewrite the expression as \( -x-3-2 x-2 \). Step 3: Combine \( -x \) and \( -2 x \), and combine -3 and -2 . Step 4: The simplified expression is \( -3 x-5 \). She made the first error in Step 1 because only -2 should be distributed through the parentheses. She made the first error in Step 2 because Step 2 should be \( -x+3-2 x+2 \). She made the first error in Step 3 because \( -x \) and \( -2 x \) cannot be combined. She made the first error in Step 4 because the simplified expression is \( -x-5 \). 1. Un técnico que repara electrodomésticos cobra \( \$ 67.000 \) por la visita más \( \$ 25.000 \) por cada hora de trabajo. a) Determine la función de la recta que relaciona el dinero a pagar " \( y \) " en función del tiempo que esté trabajando " \( x \) ". Realice la gráfica en GeoGebra, capture pantalla y evidencie en el documento. Solve this system of equations \( \left\{\begin{array}{l}4 x+5 y=6 \\ -7 x-5 y= \\ -7 y\end{array}\right. \) Select the expression that matches the complex fraction: \( \frac{\frac{3}{5}}{6} \) \( \begin{array}{llll}\text { A. } 3 \div \frac{5}{6} & \text { B. } \frac{3}{5} \div 6 & \text { C. } 3 \div 5 \div \frac{1}{6} & \text { D. } \frac{5}{3} \cdot 6\end{array} \) In the quadratic equation \( y=a x^{2}+b x+c \), the value of \( a \) determines Factor: \( 8 v^{2}+6 v-5 \) 5olve \( x+4 y=-8 \) for \( y \) \( y=m x+b \)
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