Joe claims that the equation \( y=2 x+b \), where \( b \) is a real number, represents the graph of a straight line. Which statement best classities Joe's claim? A. Joens claim is true only when b is 0 . B. Joeb claim in true for all values of \( b \). C. Joeb claim is not true for any value of \( b \).

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. \( x=-30 \)

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 \( \beta \).