Questions in mathematics

Questions in mathematics

📝 Answered - Solve the following system of equations. [tex] \begin{array}{l} x+2 y-6=z \ 3 y-2 z=7 \ 4+3 x=2 y-5 z \end{array} [/tex] A. [tex]x=2, y=1, z=2[/tex] B. [tex]x=0, y=5, z=4[/tex] C. [tex]x=\frac{2}{3}, y=\frac{3}{2}, z=-\frac{23}{6}[/tex] D. [tex]x=\frac{7}{4}, y=\frac{3}{2}, z=-\frac{5}{4}[/tex]

📝 Answered - The vertex angle of an isosceles triangle measures 40°. What is the measure of a base angle? A. 40° B. 70° C. 100° D. 140°

📝 Answered - Find the inverse of [tex]f(x)=\frac{-2 x+1}{3 x+2}[/tex] [tex]f^{-1}(x)=[/tex]

📝 Answered - P(x)=2 x^4-x^3+2 x^2-6 What is the remainder when $P(x)$ is divided by $(x-2)$ ?

📝 Answered - What is the only solution of [tex]2 x^2+8 x=x^2-16[/tex]?

📝 Answered - What is the slope of [tex]6 x+3 y=15[/tex]?

📝 Answered - Simplify by combining like terms: [tex]$5.8 v-3 v$[/tex]

📝 Answered - Given $f(x)=10-2 x$, find $f(7)$.

📝 Answered - The kinetic energy of the car of a rollercoaster is given by the formula [tex]$k =\frac{1}{2} m v ^{ 2 }$[/tex], where k is kinetic energy, [tex]$m$[/tex] is the mass of the car, and [tex]$v$[/tex] is the velocity of the car. Solving this formula for [tex]$v$[/tex], we get [tex]$v=\sqrt{\frac{2 k}{m}}$[/tex]. Which formula gives the velocity of the car in simplest form? [tex]$v=\frac{\sqrt{2 k m}}{2 m}$[/tex] [tex]$v=\frac{\sqrt{2 k m}}{m}$[/tex] [tex]$v=\frac{\sqrt{2 k}}{m}$[/tex]

📝 Answered - Which expression is equivalent to $n^2+26 n+88$ for all values of $n$? A. $(n+8)(n+11)$ B. $(n+4)(n+22)$ C. $(n+4)(n+24)$ D. $(n+8)(n+18)$