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Questions in mathematics

[Answered] A car travels 480 miles using 16 gallons of fuel. How many gallons of fuel will be needed to travel 720 miles?

[Answered] c) 50 min 2. Efectúa las siguientes operaciones. a) $\left(-\frac{15}{23}\right)+\left(-\frac{19}{23}\right)=$ b) $\left(\frac{3}{4}+\frac{5}{3}\right)+\left(7+\frac{1}{5}\right)=$ c) $\left(-\frac{2}{5}+4\right)-\left(-\frac{1}{3}+1\right)=$ d) $\left(-\frac{3}{4}+\frac{5}{3}\right)-\left(\frac{5}{3}-\frac{3}{2}\right)=$ e) $\frac{3}{4}+\frac{6}{5}-\frac{1}{3}=$ f) $\frac{1}{12}-\frac{4}{3}+\frac{7}{6}=$ g) $\frac{9}{11}-\left(\frac{5}{22}-6\right)=$ h) $\frac{3}{7}-\left(\frac{4}{21}-2+\frac{1}{14}\right)=$ i) $\frac{6}{13}-\frac{1}{5}-\left(8-1 \frac{1}{26}\right)=$ j) $-\frac{1}{2}-\left(\frac{7}{20}-\frac{9}{10}\right)+\frac{11}{5}=$ k) $\frac{12}{3}-\frac{5}{9}-\left(\frac{7}{18}-3\right)+\frac{7}{27}=$ l) $-16+3 \frac{3}{4}-2 \frac{1}{2}-\left(\frac{5}{16}-1\right)=$

[Answered] How many numbers between 1 and -50 are divisible by what?

[Answered] Which function has an inverse that is also a function? [tex]g(x)=2 x-3[/tex] [tex]k(x)=-9 x^2[/tex] [tex]f(x)=|x+2|[/tex] [tex]w(x)=-20[/tex]

[Answered] If [tex]$m(x)=\frac{x+5}{x-1}$[/tex] and [tex]$n(x)=x-3$[/tex], which function has the same domain as [tex]$(m \circ n)(x)$[/tex]? A. [tex]$h(x)=\frac{x+5}{11}$[/tex] B. [tex]$h(x)=\frac{11}{x-1}$[/tex] C. [tex]$h(x)=\frac{11}{x-4}$[/tex] D. [tex]$h(x)=\frac{11}{x-3}$[/tex]

[Answered] Which three ordered pairs describe points that are 5 units away from [tex]P (-1,2)[/tex]? [tex](2,-2)[/tex] [tex](-6,7)[/tex] [tex](-1,-3)[/tex] [tex](1,5)[/tex] [tex](4,2)[/tex]

[Answered] The main cable of a suspension bridge forms a parabola, described by the equation [tex]y=a(x-h)^2+k[/tex]. | x | 0 | 52.5 | 105 | 157.6 | 210 | | --- | -- | ---- | --- | ----- | --- | | y | 27 | 12 | 7 | 12 | 27 | [tex]y=[/tex] height in feet of the cable above the roadway [tex]x=[/tex] horizontal distance in feet from the left bridge support [tex]a=[/tex] a constant ([tex]h, k[/tex]) = vertex of the parbola What is the vertex of the parabola?

[Answered] Which expression is equivalent to $\sum_{n=1}^{35} n$ ? A. $\frac{35(35+1)}{2}$ B. $\frac{35(35+1)(2 \cdot 35+1)}{6}$ C. $\left[\frac{35(35+1)}{2}\right]^2$ D. $\frac{35(35-1)}{2}$

[Answered] What is the horizontal asymptote of the function [tex]$f(x)=\frac{(x-2)}{(x-3)^2}$[/tex]? A. [tex]$y=0$[/tex] B. [tex]$y=1$[/tex] C. [tex]$y=2$[/tex] D. [tex]$y=3$[/tex]

[Answered] Find the inverse of the matrix below: [tex]$\begin{array}{c}{\left[\begin{array}{cc}20 & 2 \\-40 & -3\end{array}\right]} \\{\left[\begin{array}{ll}{[?]} & \square \\ \square & \square\end{array}\right]}\end{array}$[/tex] If necessary, round to the nearest hundredth.