Questions in mathematics

Questions in mathematics

[Answered] The function [tex]g(x)[/tex] is defined as shown. [tex]g(x)=\left\{\begin{array}{cc} x-1, & -2 \leq x\ \textless \ -1 \ 2 x+3, & -1 \leq x\ \textless \ 3 \ 6-x, & x \geq 3 \end{array}\right.[/tex] What is the value of [tex]g(3)[/tex] ? A. 2 B. 3 C. 9 D. 14

[Answered] $(-5) \div\left(-3 \frac{1}{3}\right) \div\left(-\frac{1}{8}\right)$

[Answered] What is the $x$-value in the solution to this system of linear equations? [tex] \begin{array}{l} 2 x-y=11 \\ x+3 y=-5 \end{array} [/tex]

[Answered] $1 \frac{3}{4} \div 2 \frac{1}{5} =$

[Answered] If [tex]$f(x)=3 x-1$[/tex] and [tex]$g(x)=x+2$[/tex], find [tex]$(f-g)(x)$[/tex] A. [tex]$4 x+1$[/tex] B. [tex]$2 x-3$[/tex] C. [tex]$3-2 x$[/tex] D. [tex]$2 x-1$[/tex]

[Answered] Use the method of equating coefficients to find the values of $a, b$, and $c$: $(x+4)(a x^2+b x+c)=2 x^3+9 x^2+3 x-4$. A. $a=-2 ; b=1 ; c=-1$ B. $a=2 ; b=-1 ; c=-1$ C. $a=2 ; b=1 ; c=1$ D. $a=2 ; b=1 ; c=-1

[Answered] A flour jar contains $123 / 5$ cups of flour. If a recipe to make a cake calls for 2 $1 / 10$ cups of flour, how many cakes can be made with the flour?

[Answered] Adding which terms to $3 x^2 y$ would result in a monomial? Check all that apply. $3 x y$ $-12 x^2 y$ $2 x^2 y^2$ $7 x y^2$ $-10 x^2$ $4 x^2 y$ $3 x^3$

[Answered] \left\{\begin{array}{l}x-2 y-z=-1 \\ 2 x+3 y+2 z=-4 \\ 5 x+y-2 z=5\end{array}\right.

[Answered] An ellipse has the points (3, 2) and (7, 2) as foci. If the ellipse touches the x-axis, then its eccentricity is: A. 1/\sqrt{2} B. 1 C. 1/(2\sqrt{2}) D. \sqrt{2} - 1