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Questions in mathematics

[Done] Find the slope of the line whose equation is [tex]$p x-q y=r+1$[/tex].

[Done] Simplify: [tex]$\sqrt{16 x^6}$[/tex]

[Done] Figure $WXYZ$ is transformed using the rule ${T}_{-4,2}(x, y)$. Point $W$ of the pre-image is at $(1,6)$. What are the coordinates of point $W'$ on the final image? A. $(-5,8)$ B. $(-3,-8)$ C. $(5,-8)$ D. $(3,8)$

[Done] Which parent function is represented by the table? | x | y | | --- | --- | | -2 | 2 | | -1 | 1 | | 0 | 0 | | 1 | 1 | | 2 | 2 | A. [tex]f(x)=x^2[/tex] B. [tex]f(x)=2^x[/tex] C. [tex]f(x)=|x|[/tex] D. [tex]f(x)=x[/tex]

[Done] What value represents the vertical translation from the graph of the parent function [tex]f(x)=x^2[/tex] to the graph of the function [tex]g(x)=(x+5)^2+3[/tex] ? A. -5 B. -3 C. 3 D. 5

[Done] Find the non-extraneous solutions of [tex]$\sqrt{x+7}-4=x+3$[/tex]. A. [tex]$x=-6$[/tex] and [tex]$x=-7$[/tex] B. [tex]$x=-2$[/tex] C. [tex]$x=-7$[/tex] and [tex]$x=-2$[/tex] D. [tex]$x=1$[/tex]

[Done] A moving truck rental company charges $34.95 to rent a truck, plus $0.78 per mile. Suppose the function [tex]C(d)[/tex] gives the total cost of renting the truck for one day if you drive 40 miles. Give the formula for [tex]C(d)[/tex]. Make sure to give the complete formula as an equation. [tex]C(d)=34.95+0.78 d[/tex] Give the total rental cost if you drive the truck 40 miles. Give the function notation in the first box, the answer in the second box, and choose the correct units from the third box.

[Done] Solve the equation, $-(x / 4)=5$, for $x$. Which of the following properties of equality did you apply? A) Multiplication and subtraction B) Division C) Division and addition D) Multiplication

[Done] A triangle has side lengths measuring [tex]$20 cm, 5 cm$[/tex], and [tex]$n cm$[/tex]. Which describes the possible values of [tex]$n$[/tex]? A. [tex]$5\ \textless \ n\ \textless \ 15$[/tex] B. [tex]$5\ \textless \ n\ \textless \ 20$[/tex] C. [tex]$15\ \textless \ n\ \textless \ 20$[/tex] D. [tex]$15\ \textless \ n\ \textless \ 25$[/tex]

[Done] Choose the symbol that correctly compares the two numbers. 0.55 ? -0.748