Questions in mathematics

Questions in mathematics

📝 Answered - A parabola has a vertex at the origin. The focus of the parabola is located at ( [tex]$-2,0$[/tex] ). Which is the equation for the directrix related to the parabola? A. [tex]$y=2$[/tex] B. [tex]$x=2$[/tex] C. [tex]$y=-2$[/tex] D. [tex]$x=-2$[/tex]

📝 Answered - If $g(x)$ is the inverse of $f(x)$ and $f(x)=4x+12$, what is $g(x)$? A. $g(x)=12x+4$ B. $g(x)=\frac{1}{4}x-12$ C. $g(x)=x-3$ D. $g(x)=\frac{1}{4}x-3

📝 Answered - Function $g$ can be thought of as a scaled version of $f(x)=|x|$. What is the equation for $g(x)$?

📝 Answered - Which equation demonstrates the multiplicative identity property? [tex]$(-3+5 i)+0=-3+5 i$[/tex] [tex]$(-3+5 i)(1)=-3+5 i$[/tex] [tex]$(-3+5 i)(-3+5 i)=-16-30 i$[/tex] [tex]$(-3+5 i)(3-5 i)=16+30 i$[/tex]

📝 Answered - What is the slope of a line perpendicular to [tex]$y=-4 x+1$[/tex]?

📝 Answered - Solve $5 x+14=k$ for $x$. A. $x=5 k-14$ B. $x=k-14$ C. $x=\frac{k+14}{5}$ D. $x=\frac{k-14}{5}$

📝 Answered - Horatio drew a circle with a radius of [tex]$6x \text{ cm}$[/tex]. Kelli drew a circle with a radius of [tex]$18y \text{ cm}$[/tex]. What is the scale factor between these two circles? A. [tex]$\frac{x}{3 y}$[/tex] B. [tex]$\frac{2 x}{3 y}$[/tex] C. [tex]$\frac{1}{3}$[/tex] D. [tex]$\frac{2}{3}$[/tex]

📝 Answered - Which of these points lies on the line described by the equation below? [tex]y-4=-2(x-6)[/tex] A. [tex](-6,-4)[/tex] B. [tex](-4,-6)[/tex] C. [tex](6,4)[/tex] D. [tex](4,6)[/tex]

📝 Answered - Which equation represents the general form a circle with a center at $(-2,-3)$ and a diameter of 8 units? A. $x^2+y^2+4 x+6 y-51=0$ B. $x^2+y^2-4 x-6 y-51=0$ C. $x^2+y^2+4 x+6 y-3=0$ D. $x^2+y^2-4 x-6 y-3=0

📝 Answered - Find the rational zeros of the polynomial function and write in factored form. [tex]f(x)=-x^3+5 x^2-8 x+4[/tex]