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Questions in mathematics
[Solved] What is the sum of the geometric series? [tex]\sum_{n=1}^4(-2)(-3)^{n-1}[/tex]
[Solved] Which relation is also a function? A. B. \begin{tabular}{|c|c|} \hline$x$ & $y$ \ \hline 10 & 1 \ \hline 15 & 2 \ \hline 15 & 3 \ \hline \end{tabular}
[Solved] Rachel states that 5.5 is an integer because it is negative. Why accept 4.0, but not 5.5?
[Solved] The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let [tex]$x$[/tex] represent the number of new releases, and let [tex]$y$[/tex] represent the number of classics. If the librarian had a budget of $500 and wanted to purchase as many DVDs as possible, which values of [tex]$x$[/tex] and [tex]$y$[/tex] could represent the number of new-release and classic movies bought? [tex]$x=8, y=45$[/tex] [tex]$x=16, y=22$[/tex] [tex]$x=10, y=22$[/tex] [tex]$x=18, y=18$[/tex]
[Solved] Xander started doing his homework at 3:45 PM, and he finished at 5:30 PM. How many hours and minutes did it take him to complete his homework? A. 1 hour and 15 minutes B. 1 hour and 45 minutes C. 2 hours and 15 minutes D. 1 hour and 30 minutes
[Solved] Which of the following is an even function? $f(x)=(x-1)^2$ $f(x)=8 x$ $f(x)=x^2-x$ $f(x)=7$
[Solved] Evaluate the following algebraic expression at [tex]$x=-3, y=-3$[/tex] and simplify your answer. [tex]$6 x^2-5 y^2+5$[/tex]
[Solved] Simplify. $8^{-\frac{2}{3}}$
[Solved] Solve $\frac{1}{2}+\frac{1}{2 x}=\frac{x^2-7 x+10}{4 x}$ by rewriting the equation as a proportion. Which proportion is equivalent to the original equation? $\frac{x+2}{2 x}=\frac{x^2-7 x+10}{4 x}$ $\frac{x-1}{2 x}=\frac{x^2-7 x+10}{4 x}$ $\frac{x+1}{2 x}=\frac{x^2-7 x+10}{4 x}$ Name the true solution(s) to the equation. Name the extraneous solution(s) to the equation.
[Solved] 5. Simplify [tex]\frac{b^{12}}{b^5}[/tex]. 6. Simplify [tex]\frac{5^5 \cdot 6^3 \cdot 8^{10}}{5^3 \cdot 6 \cdot 8^9}[/tex]. 7. A publisher sells [tex]$10^6$[/tex] copies of a new science fiction book and [tex]$10^3$[/tex] copies of a new mystery book. How many times as many science fiction books were sold than mystery books? 8. Simplify [tex]\frac{45 x^{15}}{9 x^{10}}[/tex]. 9. Simplify [tex]\frac{a^4 c^6}{a^2 c}[/tex].
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