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Questions in mathematics

[Solved] Which phrase best describes the translation from the graph [tex]y=6 x^2[/tex] to the graph of [tex]y=6(x+1)^2[/tex]? A. 6 units left B. 6 units right C. 1 unit left D. 1 unit right

[Solved] If [tex]f(x)=x^4-x^3+x^2[/tex] and [tex]g(x)=-x^2[/tex], where [tex]x \neq 0[/tex], what is [tex](f / g)(x)[/tex]? A. [tex]x^2-x+1[/tex] B. [tex]x^2+x+1[/tex] C. [tex]-x^2+x-1[/tex] D. [tex]-x^2-x-1[/tex]

[Solved] The area of the base of the prism Choose... equal to the area of the base of the pyramid. The volume of the pyramid is Choose... times the volume of the prism. The volume of the figure is Choose... cuble inches.

[Solved] Use synthetic division to find the result when [tex]2 x^3-4 x^2-x-9[/tex] is divided by [tex]x-3[/tex]. If there is a remainder, express the result in the form [tex]q(x)+\frac{r(x)}{b(x)}[/tex].

[Solved] Simplify $(x-7)(x-5)$ using the FOIL method, and identify the resulting expression in standard form.

[Solved] Select the correct answer from each drop-down menu. Consider this system of equations. [tex] \begin{array}{l} y=x^2+2 x-1 \\ y-3 x=5 \end{array} [/tex] The points representing the solution set of this system of equations are [ ] and [ ].

[Solved] Use the distributive property to write an equivalent expression. [tex]$9(4 p+6 q-7)$[/tex]

[Solved] In Exercises 1 and 2, tell whether the ordered pair is a solution of the system of linear equations. 1. [tex]$\begin{array}{r} (0,-4) ;-y-x=4 \\ y-5=-4 \end{array}$[/tex] 2. [tex]$\begin{array}{r} (-8,4) ; 3 y=-2 x-4 \\ 2 y=-3 x-4 \end{array}$[/tex]

[Solved] Hurricanes are powerful tropical storms that form over warm ocean waters and can cause widespread destruction when they reach land. These massive storms bring heavy rain, strong winds, and storm surges that can flood coastal areas, damage buildings, and uproot trees. They are categorized based on wind speed, with Category 5 being the most severe. Scientists use satellite imagery and computer models to track hurricanes and predict their paths, helping communities prepare and stay safe.

[Solved] Simplify the given expression and enter in numerical form. $8+6 \cdot 2$