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Questions in mathematics

[Done] Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let [tex]$x$[/tex] represent the number of pairs of socks purchased, and let [tex]$y$[/tex] represent the number of blouses purchased. Which equation models the purchases she made with $43.92? A. [tex]$x+y=43.92$[/tex] B. [tex]$43.92 x-2.99 y=1$[/tex] C. [tex]$x+y=15.98$[/tex] D. [tex]$2.99 x+12.99 y=4$[/tex]

[Done] Which expression is equivalent to $\frac{\frac{3}{x-2}-5}{2-\frac{4}{x-2}}$ ? A. $\frac{2 x-8}{13-5 x}$ B. $\frac{-5 x-8}{2 x-8}$ C. $\frac{-5 x-4}{x-2}$ D. $\frac{13-5 x}{2 x-8}$

[Done] 18 ./. (3x3) + 4 what is the answer?

[Done] Solve the equation. $-\frac{m}{4}=5$

[Done] Harry earns $5 \%$ commission on his total sales. What was his commission if he had sales of $9,250? A) $562.50 B) $462.50 C) $412.50 D) $512.50

[Done] Select the correct answer. What is the completely factored form of this polynomial? [tex]x^3+3 x^2-6 x-18[/tex] A. [tex](x-2)(x-3)(x+3)[/tex] B. [tex](x^2-6)(x+3)[/tex] C. [tex](x^2+3)(x-6)[/tex] D. [tex](x+6)(x-1)(x+3)[/tex]

[Done] Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. [tex] \begin{aligned} y &> -2 x-1 \\ y &< \frac{1}{2} x+4 \end{aligned} [/tex]

[Done] Select the correct answer. Which statement correctly describes this expression? [tex]$\left|x^3\right|+5$[/tex] A. the absolute value of three times a number added to 5 B. the cube of the sum of a number and 5 C. 5 more than the absolute value of the cube of a number D. the sum of the absolute value of three times a number and 5

[Done] Perform the operation. $(x^2+x-2)+(-2 x^2-9 x-7)$

[Done] Directions: Find the following limits or state that the limit does not exist. 36. [tex]$\lim _{x \rightarrow \infty} \frac{4 x-2}{5-8 x}$[/tex] 37. [tex]$\lim _{x \rightarrow-\infty} \frac{4 x-2}{5-8 x}$[/tex] 38. [tex]$\lim _{x \rightarrow-4^{-}} \frac{x+1}{x+4}$[/tex] 39. [tex]$\lim _{x \rightarrow \infty} \frac{(4 x-1)(5-3 x)}{(3 x+2)^2}$[/tex] 40. [tex]$\lim _{x \rightarrow \infty} \frac{2^x+3 x}{x^{99}-2^x}$[/tex] 41. [tex]$\lim _{x \rightarrow-\infty} \frac{4^x-5}{2-e^x}$[/tex]