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Algebra Questions & Answers

Q:
\( \left\{\begin{array}{l}4 y=x-4 \\ x=4-y \\ \\ \text { Solution: }\end{array}\right. \)
Q:
Solve the following exponential equation Use a calculator to obtain a decimal approximation (round to two decimalplaces) for the solution. \( 3 e^{7 x}=879 \)
Q:
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?
Q:
Solve the exponential equation by expressing each side as a power of the same base and then equating the exponents. \[ 2^{3 x-8}=16 \]
Q:
Fungsi permintaan dan penawaran ditunjukkn oleh persamaan \( \mathrm{Qd}=-\mathrm{P}^{2}+25 \) \( \mathrm{Qs}=\mathrm{P}^{2}-2 \mathrm{P}+13 \) Berapa harga dan Jumlah keseimbangannya
Q:
Solve the exponential equation by expressing each side as a power of the same base and then equating the exponents. \[ 2^{3 x-8}=16 \]
Q:
2. Rezolvați în \( \mathbb{C} \), următoarele ecuații de gradul al doilea: \( \begin{array}{lll}\text { a) } x^{2}-3 x+4=0 ; & \text { b) } x^{2}-2 x+2=0 ; & \text { c) } x^{2}-6 x+13=0 \\ \text { d) } x^{2}+8 x+17=0 ; & \text { e) } 4 x^{2}-4 x+17=0 ; & \text { f) }-9 x^{2}+6 x-10=0\end{array} \)
Q:
34) Número_es aquel que termina en par o en cero. 35. El resultado de la factorización de \( 16 m^{4} n^{4}-121 a^{2} b^{2} \) es: A) \( \left(4 m^{2} n^{2}+11 a b\right)\left(4 m^{2} n^{2}+11 a b\right) \) B) \( \left(4 m^{2} n^{2}-11 a b\right)\left(4 m^{2} n^{2}-11 a b\right) \) C) \( \left(4 m^{2} n^{2}-11 a b\right)\left(4 m^{2} n^{2}+11 a b\right) \) D) \( \left(16 m^{2} n^{2}-11 a b\right)\left(m^{2} n^{2}+11 a b\right) \)
Q:
(1) \( \frac{8}{5}=\frac{24}{2 k+1} \)
Q:
21 Solve the equation of the second degree in \( x \) : Deduce the values of \( y \) that verify \( : y^{2}-3|y|+2=0 \) and the values of \( z \) that verify: \( (z-2)^{2}-3|z-2|+2=0 \).

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