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Hogar Banco de preguntas Matemáticas Álgebra Archive 2024 December 15

Algebra Questions from Dec 15,2024

Browse the Algebra Q&A Archive for Dec 15,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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(a) Evaluate the co-factor of -1 in \( \left|\begin{array}{rr}2 & 3 \\ -1 & 2\end{array}\right| \). 6. Solve \( \frac{b}{4}-\frac{5}{b}=\frac{1}{2} \) using the quadratic formula. Give the exact solution and approximate the solutions to three decimal places. What do you call the process of adding the equations to eliminate either \( x \) or, from the system of linear equations? In 1993, there were 41,778 shopping centers in a certain country. In 2003 , there were 48,103 . (a) Write an equation expressing the number \( y \) of shopping centers in terms of the number \( x \) of years after 1993 . (b) When will the number of shopping centers reach 70,000 ? (a) The equation is \( y=\square x+\square \). (Type integers or decimals.) (b) The number of shopping centers will reach 70,000 in the year \( \square \). (Round down to the nearest year.) 5. a. Solve \( 5 x^{2}-4 x-2=0 \) using the quadratic formula. refere to the extra page ettached b. Approximate the solutions to three decimal places. Find the solution to the inequality \( \leq \) \( 6-2 x \geq 16 \) Which situation is best represented by this equation? \( 8 x+70=180 \) Sarah currently has \( \$ 70 \) saved. If she saves \( \$ 8 \) per week, how long will it take Sarah to have a total of \( \$ 180 \) saved? Sarah sells T-shirts for \( \$ 8 \) per shirt at a local vendor fair. She had to pay a \( \$ 40 \) booth fee. How many T-shirts must she sell to make a \( \$ 180 \) profit? Sarah's school is transporting 180 students for the field trip. Each bus will hold 70 students, and 8 students will ride in a van instead of a bus. How many buses do they need to transport all 180 students for the field trip? Sarah saves \( \$ 180 \). She spends \( \$ 8 \) per week on gas. How long will it take Sarah to spend all of her money? Find the slope, if it exists. \( x=-5 \) Select the correct choice below and fill in any answer boxes within your choice. A. The slope is \( \square \). (Type an integer or a simplified fraction.) B. The slope is undefined. Find the slope, if it exists. \[ \begin{array}{l}\text { S }=-5 \\ \text { A. The slope is } \\ \text { B. The slope is undefined. }\end{array} \] (Type an integer or a simplified fraction.) 5. a. Solve \( 5 x^{\prime}-4 x-2=0 \) using the quadratic formula. refer to the entra page attached b. Approximate the solutions to three decimal places.
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