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Algebra Questions & Answers

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Question 8 Simplify the expression \( \left(5 m^{2} n^{7}\right)^{3} \). Explain how you solved the problem and justify each step by naming the appropriate property. (i) Instructions
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Solve the logwithmic equation. Be sure to reject any value of \( x \) that is not in the domain of the original logarithaic expressions. Give the exact answer. \( \log _{2}(x+6)+\log _{2}(x+5)=1 \)
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10 класс 1. На ЕГО (сдния государственная олимпиада) за решение задачи части А участникам двалі 2 балла, за решение задачи части \( \mathrm{B}-4 \) балла, а за нерешенную задачу части А вычитали 2 балла. Один из участников решил 10 задач и получил в итоге 16 баллов. Сколько всеюо задач в части A ?
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1. На ЕГО (единая государственная олимпиада) за решение задачи части А участни давали 2 балла, за решение задачи части Б-4 балла, а за нерешенную задачу ча А вычитали 2 балла. Один из участников решил 10 задач и получил в итогє баллов. Сколько всего залач части А?
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\( \frac{x+y}{x}+1=\frac{1}{x} \quad( \) mit \( x \neq 0), x=? \)
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(8) \( A \times(B-C)=(A \times B)-(A \times C) \)
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\( \left\{\begin{array}{l}4 y=x-4 \\ x=4-y \\ \\ \text { Solution: }\end{array}\right. \)
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Solve the following exponential equation Use a calculator to obtain a decimal approximation (round to two decimalplaces) for the solution. \( 3 e^{7 x}=879 \)
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Define your variable, write an equation or inequality, and solve. Pet supplies make a profit of \( \$ 5.50 \) per bag on its line of natural dog food. If the store wants to make a profit of no less thgn \( \$ 5,225 \), how many bags of dog food does it need to sell?
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Solve the exponential equation by expressing each side as a power of the same base and then equating the exponents. \[ 2^{3 x-8}=16 \]

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