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Questions in mathematics

📝 Answered - Which of the below points is in the solution region to the following system of inequalities? [tex]$\begin{array}{l} 2 x-y\ \textless \ 1 \ x+2 y\ \textless \ -4 \end{array}$[/tex] (-8,-1) (-2,4) (0,6) (4,0)

📝 Answered - Find the inverse of [tex]$f(x)=\frac{-3 x+3}{x-5}$[/tex]

📝 Answered - 6. [tex]2 \frac{1}{3}+1 \frac{3}{6}=[/tex] 7. [tex]1 \frac{3}{4} \div 2 \frac{1}{2} \div 2 \frac{1}{3}=[/tex] 8. [tex]2 \frac{1}{7} \div 1 \frac{3}{4}=[/tex]

📝 Answered - Approximate the following number using a calculator. [tex]$9^{-1.3}$[/tex] [tex]$9^{-1.3} \approx$[/tex] $\square$ (Round to three decimal places as needed.)

📝 Answered - The temperature dropped $-4^{\circ} F$ on Monday, $-5^{\circ} F$ on Tuesday, and $-3^{\circ} F$ on Wednesday. Which equation correctly shows how to find the average drop in temperature for all three days? $\begin{array}{l} (-4)+(-5)+(-3)=12 \\ 12 \div-3=-4 \end{array}$ $\begin{array}{l} (-4)+(-5)+(-3)=12 \\ 12 \div 3=4 \end{array}$ $\begin{array}{l} (-4)+(-5)+(-3)=-12 \\ -12 \div 3=-4 \end{array}$

📝 Answered - Multiply. $\frac{1}{4} \times 32=$

📝 Answered - Given $y=x+1+x+1$, find $\frac{dy}{dx}$.

📝 Answered - The sum of two polynomials is $-y z^2-3 z^2-4 y+4$. If one of the polynomials is $y-4 y z^2-3$, what is the other polynomial? A. $-2 y z^2-4 y+7$ B. $-2 y z^2-3 y+1$ C. $-5 y z^2+3 z^2-3 y+1$ D. $3 y z^2-3 z^2-5 y+7$

📝 Answered - Determine [tex]$\int y . dx$[/tex] if: [tex]$y=x \cdot e^{\frac{x}{10}}$[/tex]

📝 Answered - Find the angles between the following pairs of lines: a) $3 x-4 y=3$ and $5 x+12 y=13$