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Home Question Bank Math Algebra Archive 2024 November 18

Algebra Questions from Nov 18,2024

Browse the Algebra Q&A Archive for Nov 18,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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3. Dada la ecuación exponencial \[ 2^{x}+2^{x+1}+2^{x+2}=7 \] aplicando propiedades, se obtiene que la ecuación es equivalente a: 5. Which number makes both equations true? \( (5 \times 2) \times 3=5 \times(\square \times 3) \) \( (3 \times \square) \times 4=3 \times(2 \times 4) \) 4. Find the number that is 27 greater than twice the opposite of itself. n) \( (x+\sqrt{2})^{2} \) 5) Calcula el valor de la incógnita mediante el despeje en ro ecuación \( 12 x^{2}+3-30=21 \) Tickets to a play cost \( \$ 5 \) at the door and \( \$ 4 \) in advance. The theatre dub wants to raise at least \( \$ 400 \) from the play. Write and graph an Inequality for the number of tickets the theatre club neods to sell. If the club sells 40 tuckets in advance, how many do they need to sell at the door to reach their goal? \( \begin{array}{ll}\text { A. Write the inequallty that represents } & \text { B. Re-write the inequality in } \\ \text { this problem. } & \end{array} \) Score: \( 2 / 10 \) Current Time: 129.4 Convert to Vertex Form \[ x^{2}+10 x+24 \] Answer \( (x-5)^{2}+1 \) Solve the exponential equation. Express irrational solutions as decimals correct to the nearest thousandth. \( \left(\frac{1}{5}\right)^{x}=12 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is \( \left\{\begin{array}{l}\text { a } \\ \text { (Round to the nearest thousandth as needed. Use a comma to separate } \\ \text { answers as needed.) } \\ \text { B. The solution is the empty set. }\end{array}\right. \). The formula \( V=1.225 \sqrt{a} \) is used to estimate how far a person can see on a clear day, where \( V \) is the visibility in miles and a is the altitude in feet. What is Ty's visibility if he Is looking out the upper window of a building with an altitude of 1,602 feet? Round your answer to the nearest whole number. Solve the exponential equation. Express irrational solutions as decimals correct to the nearest thousandth. \( \left(\frac{1}{5}\right)^{x}=10 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is \( \{\square\} \). (Round to the nearest thousandth as needed. Use a comma to separate B. The solution is the empty set.
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