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Questions in mathematics

📝 Answered - Select the equivalent expression. $\left(\frac{a^{-3}}{a^{-1}}\right)^{\frac{1}{8}}$

📝 Answered - Pam's eye-level height is 256 feet above sea level and Adam's eye-level height is 400 feet above sea level. What expression shows how much farther Adam can see to the horizon? Use the formula [tex]d=\sqrt{\frac{3 h}{2}}[/tex] [tex]$\sqrt{\frac{3(256)}{2}}-\sqrt{\frac{3(400)}{2}}$[/tex] [tex]$\sqrt{\frac{3(400)}{2}}-\sqrt{\frac{3(256)}{2}}$[/tex] [tex]$\sqrt{\frac{3(400)}{2}}+\sqrt{\frac{3(256)}{2}}$[/tex]

📝 Answered - What is the discriminant of $9 x^2+2=10 x $?

📝 Answered - Select the correct row in the table. Which row of the table reveals the $y$-intercept of function $f$ ? \begin{tabular}{|c|c|} \hline $x$ & $f ( x )$ \\ \hline-1 & $2 \frac{2}{3}$ \\ \hline 0 & 2 \\ \hline 1 & 0 \\ \hline 2 & -6 \\ \hline 3 & -24 \\ \hline \end{tabular}

📝 Answered - 8. $-21 a+28 a-6=-10.2$ 10. $68=\frac{1}{5}(20 x+50)+2$

📝 Answered - Find the 13th term of the geometric sequence [tex]$7, 21, 63 \ldots$[/tex]

📝 Answered - Convert the following equation into standard form. [tex] \begin{array}{r} y=-\frac{5 x}{8}+3 \\ {[?] x+\square \quad y=} \end{array} [/tex]

📝 Answered - The following rational equation has denominators that contain variables. For this equation: a. Write the value or values of the variable that make a denominator zero. b. Keeping the restrictions in mind, solve the equation. [tex]$\frac{4}{x}=\frac{29}{8 x}+3$[/tex] a. What are the value or values of the variable that makes the denominators zero? [tex]$x=\square$[/tex] (Simplify your answer. Use a comma to separate answers as needed.)

📝 Answered - [tex]\frac{2}{9} \div \frac{9}{8}=[/tex]

📝 Answered - Find the vertex of the given function. [tex]f(x)=|x+1|-7[/tex] The vertex is at ( $\square$ , $\square$ ).