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Questions in mathematics

[Done] Composing Inverse Functions [tex]f(x)=\frac{1}{2} x[/tex] and [tex]f^{-1}(x)=2 x[/tex] [tex]\begin{array}{l} =1 \\ (1)=2 \\ (f(2))=2 \end{array}[/tex] [tex]\begin{array}{l} f^{-1}(-2)=\square \\ f(-4)=\square \\ f\left(f^{-1}(-2)\right)=\square \end{array}[/tex]

[Done] Solve the following system of inequalities graphically on the set of axes below. [tex] \begin{array}{l} y\ \textless \ -x+1 \ y \leq \frac{1}{2} x+7 \end{array} [/tex]

[Done] Which of the following statements are true about the given rational equation? Check all of the boxes that apply. [tex]\frac{4}{x+6}+\frac{1}{x^2}=\frac{x+10}{x^3+6 x^2}[/tex] A. [tex]$x=1$[/tex] is a solution. B. [tex]$x=0$[/tex] is a solution. C. [tex]$x=-1$[/tex] is a solution. D. [tex]$x=-6$[/tex] is a solution.

[Done] Complete the steps in order to write the inverse of [tex]f(x)=x+5[/tex] 1. $\square$ = x + 5 2. $\square$ = y + 5 3. $\square$ = y 4. $\square$ = x - 5

[Done] Solve each problem (no calculators, show your work). Resuelve cada problema (sin calculadoras, muestra tu trabajo). a) $12.42+19.61$ b) $19.61-15.82$ 3) Solve each problem AND draw a picture that represents the problem. Resuelve cada problema $Y$ dibuja una imagen que represente el problema. a) $2 \div \frac{1}{3}$ b) $4 \div \frac{5}{2}$

[Done] \begin{tabular}{|l|l|l|} \hline 23. & $0.7 \times 0.5$ & \\ \hline 24. & $0.7 \times 0.6$ & \\ \hline 25. & $0.7 \times 0.7$ & \\ \hline 26. & $0.7 \times 0.8$ & \\ \hline 27. & $0.7 \times 0.9$ & \\ \hline 28. & $0.4 \times 0.8$ & \\ \hline \end{tabular}

[Done] Bennett planted four tomato plants in his garden, and he recorded their progress after a few weeks. \begin{tabular}{|c|c|} \hline PLANT A & $\sqrt{35}$ in. \\ \hline PLANT B & $5.3 in$. \\ \hline PLANT C & $5 \frac{1}{2} in$. \\ \hline PLANT D & $5 \frac{1}{5} in$. \\ \hline \end{tabular} List the plants in ascending order according to their height.

[Done] Solve each of the following equations: 3. [tex]$4(8 x+4)-20=-20$[/tex] 4.

[Done] Simplify. $(-32)^{-\frac{1}{5}}$

[Done] If [tex]$\tan x^{\circ}=\frac{6}{9}$[/tex] and [tex]$\sin x^{\circ}=\frac{6}{h}$[/tex], what is the value of [tex]$\cos x^{\circ}$[/tex]? [tex]$\cos x^{\circ}=\frac{h}{g}$[/tex] [tex]$\cos x^{\circ}=\frac{g}{h}$[/tex] [tex]$\cos x^{\circ}=g h$[/tex] [tex]$\cos x^{e-}=6 g$[/tex]