The value ( \( V \), in dollars) of a vehicle depends on the miles \( (x) \) that it has been driven, as given by the formula \( V=20,000-0.4 x \). After one year, the value of the vehicle is between \( \$ 18,000 \) and \( \$ 19,000 \), which can be expressed as follows: \( 18,000 \leq 20,000-0.4 x \leq 19,000 \) Which compound inequality represents the range for the miles driven? Answer choices are rounded to the nearest whole number. \( 2,500 \leq x \leq 5,000 \) \( 4,000 \leq x \leq 8,000 \) \( 400 \leq x \leq 800 \) \( 15,200 \leq x \leq 15,600 \)

Encuentra el resultado utilizando la propiedad de potencias: \( (a^{2b})^{3} \)

Enter the correct answer in the box. Rewrite the expression \( 2 \sqrt[4]{x^{7}} \) using rational exponents. \( \begin{array}{lll}\frac{\square}{\square} & \text { (ㅁ) } \mid \text { 미 } \square^{\square} \mid+--\end{array} \)

Which expressions are equivalent to the given expression? \( 5 \log _{10} x+\log _{10} 20-\log _{10} 10 \)

Find the value of \( m \) if \( \alpha+\beta=-2 \). (b) Seterusnya, bentukkan persamaan kuadratik dengan punca-punca \( \alpha \) dan \( \beta \). Hence, form a quadratic equation with roots \( \alpha \) and \( \beta \).

It would take Charlene and Gina 18 minutes to organize Charlene's comic book collection if they work together. If Gina works alone, it would take her 15 minutes longer than it would take Charlene working alone. When \( x \) represents the number of minutes it takes Charlene to organize the comic book collection working alone, the situation is represented by this equation: \( \frac{1}{x}+\frac{1}{x+15}=\frac{1}{18} \), Which value is a solution of the rational equation that must be discarded because of the context? A. \( x=0 \) B. \( x=-9 \) C. \( x=-15 \) D. \( x=-30 \)