Questions in mathematics

Questions in mathematics

[Free] Rewrite 4 as a fraction. A. $\frac{1}{4}$ B. $\sqrt{\ln y}$ C. $\frac{4}{1}$ D. $\frac{4}{4}$

[Free] Divide. $\left(2 x^3+2 x-15\right) \text { by }(x+5)$ The answer is $\square$ .

[Free] What is the solution of [tex]$\sqrt{x^2+49}=x+5$[/tex]? A. [tex]$x=\frac{12}{5}$[/tex] B. [tex]$x=-\frac{12}{5}$[/tex] C. [tex]$x=-6$ or $x=-3$[/tex] D. no solution

[Free] Let [tex]f(x) = \begin{cases} -1, & -2 \le x < 0 \\ x^2 - 1, & 0 \le x \le 2 \end{cases}[/tex] and [tex]g(x) = |f(x)| + f(x)[/tex]. Then, in the interval (-2, 2), g is: (1) differentiable at all points (2) not differentiable at two points (3) not continuous (4) not differentiable at one point

[Free] Solve: [tex]\frac{x^2-1}{x^2+1} \leq 0[/tex]

[Free] Solve by using the matrix method: [tex]$4 x-9 y+11=0$[/tex] and [tex]$6 y-3 x=8$[/tex].

[Free] Evaluate the piecewise function at the given values of the independent variable. [tex]h(x)=\left\{\begin{array}{ll}\frac{x^2-4}{x-2} & \text { if } x \neq 2 \\4 & \text { if } x=2\end{array}\right.[/tex] (a) [tex]h (3)[/tex] (b) [tex]h(0)[/tex] (c) [tex]h (2)[/tex]

[Free] A line segment has endpoints at $(3,2)$ and $(2,-3)$. Which reflection will produce an image with endpoints at $(3,-2)$ and $(2,3)$? A. a reflection of the line segment across the $x$-axis B. a reflection of the line segment across the $y$-axis C. a reflection of the line segment across the line $y=x$ D. a reflection of the line segment across the line $y=-x

[Free] Solve 29/5x=2. What does x equal?

[Free] Which of the following is the inverse of [tex]$y=3^x$[/tex]? A. [tex]$y=\frac{1}{3^x}$[/tex] B. [tex]$y=\log _3 x$[/tex] C. [tex]$y=\left(\frac{1}{3}\right)^x$[/tex] D. [tex]$y=\log _{\frac{1}{3}} x$[/tex]