Questions in mathematics

Questions in mathematics

📝 Answered - How will the solution of the system $y>2 x+\frac{2}{3}$ and $y<2 x+\frac{1}{3}$ change if the inequality sign on both inequalities is reversed to $y<2 x+\frac{2}{3}$ and $y>2 x+\frac{1}{3}$?

📝 Answered - $y=10-\frac{2}{3} x$

📝 Answered - The measure of angle BAC can be calculated using the equation $\sin ^{-1}\left(\frac{3.1}{4.5}\right)=x$. What is the measure of angle BAC? Round to the nearest whole degree. A. $0^{\circ}$ B. $1^{\circ}$ C. $44^{\circ}$ D. $48^{\circ}$

📝 Answered - Solve the equation for $x$. $1=1-5x-7x$

📝 Answered - Find the graph of the following exponential function: $y=-2 \cdot 2^x$

📝 Answered - $38 \overline{)27664}$

📝 Answered - Let $a=\sqrt{2}$ and $b=\sqrt{3}$. (a) Find a rational number and an irrational number strictly between $a$ and $b$. (b) Use the average of $a$ and $b$ to justify the denseness property of real numbers.

📝 Answered - Make $k$ the subject of $d=\frac{k+m}{2}$

📝 Answered - Write the equation of a line that passes through $(-6,2)$ and is parallel to $\frac{3}{2} x+8$. Express your answer in slope-intercept form. Determine if the lines $y=2 x+5$ and $4 x-2 y=10$ are parallel, perpendicular, or the same line.

📝 Answered - Determine whether [tex]$B^{-1}$[/tex], the inverse of [tex]$B$[/tex], exists. Justify your answer. (Do not determine [tex]$B^{-1}$[/tex]). [tex]$B=\left[\begin{array}{ccc} 1 & 2 & -1 \\ 0 & 3 & 4 \\ 1 & 7 & 2 \end{array}\right]$[/tex]