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Questions in mathematics

[Done] Simplify the expression. [tex]$\frac{1}{9}+7 y-\frac{2}{9}-15 y$[/tex]

[Done] What are the solutions of the equation [tex]$x^4-5 x^2-36=0$[/tex]? Use factoring to solve. A. [tex]$x= \pm 2$[/tex] and [tex]$x= \pm 3$[/tex] B. [tex]$x=+$[/tex] 3i and [tex]$x=+3$[/tex] C. [tex]$x= \pm 2$[/tex] and [tex]$x= \pm 3 i$[/tex] D. [tex]$x= \pm 2 i$[/tex] and [tex]$x= \pm 3 i$[/tex]

[Done] Riley needs to make fruit punch for the family reunion. One batch of punch has the ingredients shown. If the punch bowl holds 27 cups, how many cups of orange juice will she need to keep the ratio in a full punch bowl the same? | Item | Cups | | ---------------- | ---- | | Cranberry Juice | 4 | | Lemon Lime Soda | 1 | | Orange Juice | 2 | | Pineapple Juice | 2 |

[Done] Last month Maria hiked a total of 90 miles on two hiking trails: a 5-mile mountain trail and a 10-mile canal trail. Let x represent the number of times Maria hiked the mountain trail, and let y represent the number of times Maria hiked the canal trail. Which equation can be used to find the number of times Maria hiked each trail? A. 50 - 10y = 5x B. 5x - 10y = 90 C. x + y = 90 D. 90 + 10y = 5x

[Done] Simplify. [tex]$\frac{\sqrt{-15} \cdot \sqrt{-5}}{\sqrt{3}}$[/tex]

[Done] [tex] \int 2(2 x-3)^{2 / 3} d x [/tex]

[Done] Subtract: $-\frac{9}{14}-\left(-\frac{11}{14}\right)$

[Done] Select the correct answer. The table represents quadratic function [tex]g[/tex]. Which statement is true about the function [tex] \begin{tabular}{|c|c|c|c|c|c|c|} \hline$x$ & -5 & -4 & -3 & -2 & -1 & 0 \\ \hline$g(x)$ & -1 & 0 & -1 & -4 & -9 & -16 \\ \hline \end{tabular} [/tex] A. The maximum occurs at the function's [tex]y[/tex]-intercept. B. The minimum occurs at the function's [tex]y[/tex]-intercept. C. The maximum occurs at the function's [tex]x[/tex]-intercept. D. The minimum occurs at the function's x-intercept.

[Done] Simplify the following algebraic expression: [tex]8 x+4-11 x+10=[/tex]

[Done] Enter the correct answer in the box. Replace the values of [tex]$m$[/tex] and [tex]$n$[/tex] to show the solutions of this equation. [tex]$x^2+6 x-5=0$[/tex] [tex]x=m \pm n$[/tex]