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Questions in mathematics

📝 Answered - What is $\frac{\sqrt[3]{3}}{\sqrt[3]{2 x}}$ in simplest form? A. $\frac{\sqrt[3]{12 x^2}}{2 x}$ B. $\frac{\sqrt[3]{6 x}}{2 x}$ C. $\frac{\sqrt[3]{3}}{2 x}$

📝 Answered - What is the product of 1/6 and 4/5? If 2/5 and 2/8 are multiplied, what will be your product?

📝 Answered - Which term of the A.P. 32, 28, 24, 20, ... is the first negative term? (1) 9th (2) 8th (3) 10th (4) 11th

📝 Answered - Directed line segment from $A$ to $B$ such that $P$ is $\frac{2}{3}$ the length of the line segment from $A$ to $B$? $x=\left(\frac{m}{m+n}\right)\left(x_2-x_1\right)+x_1$ $v=\left(\frac{m}{m+n}\right)\left(v_2-v_1\right)+v_1$ (2,-1) (4,-3) (-1,2) (3,-2)

📝 Answered - What is the constant of variation, [tex]$k$[/tex], of the direct variation, [tex]$y=k x$[/tex], through [tex]$(-3,2)$[/tex]? A. [tex]$k=-\frac{3}{2}$[/tex] B. [tex]$k=\frac{2}{3}$[/tex] C. [tex]$k=\frac{2}{3}$[/tex] D. [tex]$k=\frac{3}{2}$[/tex]

📝 Answered - Solve $\left|-\frac{x}{3}\right|=8$ for $x$.

📝 Answered - [tex]$\log _{10} 8=0.9031$[/tex], Find [tex]$4+\log _{10} 16$[/tex]

📝 Answered - Find the values of $x$ satisfying: (a) $|x-4|>|x+1|$ (b) $|x-3|>|x+2|$ (c) $|3 x-2| \geq 3|x-1|$ (d) $|x-5|-|x-3| \geq 0$ Show graphically the regions represented by the inequalities: (a) $4 x+y-3<0$ (b) $2 x-3 y+1 \leq 0$ (c) $x+2 y+4<0$ (d) $5 y+x-7 \leq 0$

📝 Answered - What makes [tex]$\frac{p-1}{p(p-2)}$[/tex] undefined?

📝 Answered - Classify the expression: [tex]$5 x+2$[/tex]. A. Linear expression B. Quadratic expression C. Cubic expression D. Quartic expression