Questions in mathematics

Questions in mathematics

📝 Answered - Which set of expressions are not equivalent? a) $\frac{\frac{2}{3}+\frac{1}{6}}{\frac{1}{8}+\frac{3}{4}} ; \frac{16+4}{3+18}$ b) $\frac{\frac{3}{8}+\frac{1}{2}}{\frac{4}{5}-\frac{1}{10}} ; \frac{15+20}{32-1}$ c) $\frac{\frac{5}{6}-\frac{3}{4}}{1 / 3+\frac{7}{9}} ; \frac{30-27}{12+28}$

📝 Answered - Which graph represents the following piecewise defined function? [tex]g(x)=\left\{\begin{array}{cl}\frac{1}{2} x+3, & x\ \textless \ -2 \\ 2, & -2 \leq x \leq 3 \\ 2 x-3, & x\ \textgreater \ 3\end{array}\right.[/tex]

📝 Answered - To solve $49^{3x} = 343^{2x+1}$, write each side of the equation in terms of base ____.

📝 Answered - One rational number between -3 and -2 is: i) 3 ii) [tex]$-5 / 2$[/tex] iii) [tex]$-7 / 2$[/tex] iv) none of these

📝 Answered - Convert $3.\overline{5}\dot{3}$ into

📝 Answered - [tex]x^2+5x+\frac{36}{x^2+5x}[/tex]

📝 Answered - One of Pyramids A soundproofing tile is made of 8 identical solid right pyramids with square bases. The length of the whole tile shown is [tex]$x$[/tex] inches. Which expression shows the area of the base of each pyramid? [tex]$x^2 \text { in. }{ }^2$[/tex] [tex]$\left(\frac{1}{4} x\right)^2 \text{ in. }^2$[/tex] [tex]$\left(\frac{1}{3} x\right)^2 \text{ in. }^2$[/tex] [tex]$\left(\frac{1}{2} x\right)^2 \text{ in. }^2$[/tex]

📝 Answered - Use reference angles to find the exact value of [tex]$\cot \frac{13 \pi}{6}$[/tex]

📝 Answered - Which set of numbers is included in the solution set of the compound inequality? $\left\{-7,5,18,24,32\right\}$ $\left\{-9,7,15,22,26\right\}$ $\left\{16,17,22,23,24\right\}$ $\left\{18,19,20,21,22\right\}$

📝 Answered - Scott was $63 \frac{3}{8}$ inches tall when he started seventh grade and $65 \frac{1}{4}$ inches tall when he started eighth grade. How many inches did he grow during this time? A. $2 \frac{5}{8}$ B. $1 \frac{3}{4}$ C. $2 \frac{1}{2}$ D. $1 \frac{7}{8}$