Questions in mathematics

Questions in mathematics

📝 Answered - Find the sum of the terms. [tex]\frac{x}{x^2+3 x+2}+\frac{3}{x+1}[/tex] The numerator of the simplified sum is A. [tex]$x + 3$[/tex] B. [tex]$3x+6$[/tex] C. [tex]$4x+6$[/tex] D. [tex]$4x+2$[/tex]

📝 Answered - Solve the equation below for $x$. $\log 2 x+\log (x-1)=\log 6 x$ A. $x=0,4$ B. There are no solutions. C. $x=-1 / 3$ D. $x=4$

📝 Answered - Solve the following inequality algebraically: [tex]$-2\ \textless \ \frac{x}{3}+1\ \textless \ 5$[/tex] A. [tex]$-9\ \textgreater \ x\ \textgreater \ 12$[/tex] B. [tex]$-9\ \textless \ x\ \textless \ 12$[/tex] C. [tex]$-2\ \textless \ x\ \textless \ 5$[/tex] D. [tex]$-2\ \textgreater \ x\ \textgreater \ 5$[/tex] Please select the best answer from the choices provided.

📝 Answered - For the function [tex]F(x)=\frac{1}{(x-8)^2}[/tex], (a) graph the rational function using transformations, (b) use the final graph to find the domain and range, and (c) use the final graph to list any vertical, horizontal, or oblique asymptotes. (a) Choose the correct graph below. A. B. C. D.

📝 Answered - The LCM of a given set of polynomials is $(x+6)(x+6)(x+2)(x-2)$. Which is equivalent to the LCM? A. $(x+6)^2(x+2)(x-2)$ B. $(x+6)^2(x+2)^2(x-2)^2$ C. $(x+6)^2(x+2)^2(x-2)$ D. $(x+6)(x-6)(x+2)(x-2)$

📝 Answered - The formula $s=\sqrt{\frac{S A}{6}}$ gives the length of the side, $s$, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 480 square meters than a cube with the surface area of 270 square meters? A. $\sqrt{5} m$ B. $\sqrt{35} m$ C. $\sqrt{210} m$ D. $7 \sqrt{5} m$

📝 Answered - Add a) 35,87,982 + 4,75,953

📝 Answered - Multiply the following numbers using the box method: a. 237 * 457 b. 2345 * 780 c. 1654 * 452 d. 673 * 547

📝 Answered - Name of Polygons | Polygon | | Number of Sides | Number of Dissected Triangles | Sum of Interior Angles | | :------------ | :-: | :-------------- | :---------------------------- | :----------------------- | | Triangle | | 3 | 1 | (1 x 180) or 180 | | Quadrilateral | | 4 | 2 | (2 x 180) or 360 | | Pentagon | | 5 | | | | Hexagon | | 6 | | | | Heptagon | | 7 | | | | Octagon | | 8 | | | | Dodecagon | | 12 | | | 1. Is there a connection between the number of sides and the number of dissected triangles in a polygon? What is this relation? 2. How many dissected triangles are there in an n-sided polygon? What is the sum of the interior angles of an n-sided polygon?

📝 Answered - Which value of [tex]$x$[/tex] makes the two matrices inverses of each other? [tex]$\left[\begin{array}{ll} 5 & 2 \\ 2 & 1 \end{array}\right]\left[\begin{array}{cc} 1 & -2 \\ x & 5 \end{array}\right]$[/tex] A. -2 B. -1 C. 1 D. 2