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Algebra Questions & Answers

Q:
(17) \( \frac{x^{2}-x}{x^{2}-1}=\frac{x}{x+1} \)
Q:
\( \frac{(x+2)(x-2)}{4}-\frac{(x-3)^{2}}{3}=\frac{x(11-x)}{6} \quad\left(\right. \) Sol: \( \left.x==-8, x_{2}=6\right) \)
Q:
Какое из приведенных неравенств будет линейн неравенством с одной переменной: \[ \begin{array}{l}\square \text { А) } x \geq 1 \\ \square \text { B) } x y \leq \frac{1}{6} \\ \square \text { C) } 2 x<-4 \\ \square \text { D) } y<20,6 \\ \square \text { E) } x+7 \geq y \\ \square \text { F) } 9+6<28\end{array} \]
Q:
\( 1 \leftarrow \) Don Williams uses his small motorboat to go 4 miles upstream to his favorite fishing spot. Against the current, the trip takes \( \frac{1}{2} \) hour. With the current the trip takes \( \frac{1}{4} \) hour. How fast can the boat travel in still water? What is the speed of the current? In still water the boat's speed is \( \square \mathrm{mph} \). The speed of the current is \( \square \mathrm{mph} \).
Q:
Solve. \[ 16 x^{2}-9=0 \]
Q:
10. Which domain would be the most appropriate set to use for a function that prediets the number of houschold online-devices in terms of the number of people in the household? 1) integers 2) whole numbers 3) irrational numbers 4) rational numbers
Q:
Consider this equation. \( \frac{10 x+25}{3 x+12}=\frac{5 x}{x+4} \) How many valid solutions does the equation have?
Q:
Укажите равносильные неравенства. \( \square \) А) \( x \leq 16 \) и \( x-8 \leq 8 \) \( \square \) В) \( x<3 \) и \( -3 x \geq-9 \) \( \square \) C) \( x \geq-16 \) и \( -0,25 x \geq 4 \) \( \square \) D) \( x \geq-14 \) и \( x+8 \geq-6 \) \( \square \mathrm{E}) x>8 \) и \( 2 x>16 \) \( \square \mathrm{~F}) x<20 \) и \( 0,5 x+3>10 \)
Q:
\( \begin{array}{l}\text { 13. What is the resulting coefficient of } x \\ \text { when }-2 x+3 \text { is multiplied by }-3 x-2 \text { ? } \\ \text { A. }-9 \quad(-2 x+3)(-3 x-2) \\ \text { B. }-5 \\ \text { C. } 5 \\ \text { D. } 6\end{array} 6 x^{2}+4 x-9 x-6 \)
Q:
Napiši u obliku umnoška \( 2.25 a^{4} b^{4}-\frac{1}{400}= \)

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