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Questions in mathematics

[Done] -3=\frac{9(5-2 k)}{5}

[Done] Which shows one way to determine the factors of [tex]x^3+5 x^2-6 x-30[/tex] by grouping? A. [tex]x(x^2-5)+6(x^2-5)[/tex] B. [tex]x(x^2+5)-6(x^2+5)[/tex] C. [tex]x^2(x+5)-6(x+5)[/tex]

[Done] The populations and land areas of four cities in Texas are shown. \begin{tabular}{|l|r|r|} \hline & Population & Area $\left( km ^2\right)$ \\ \hline City A & $2,195,914$ & 1,553 \\ \hline City B & 48,592 & 26 \\ \hline City C & $1,257,676$ & 999 \\ \hline City D & 196,429 & 258 \\ \hline \end{tabular} Which statements are true? Select three options. A. The population density for City B can be found using the ratio $48,592: 26$. B. The population density for City D can be found using the ratio $258: 196,429$. C. City A has the greatest population density of the four cities. D. The population density of City B is greater than that of City C. E. City D has the lowest population density of the four cities.

[Done] Solve for $k$. $\frac{k-7}{2}=1$

[Done] Line \(A(y=x+2)\) is transformed into Line \(B(y=3x+1)\). Which best describes the new slope and \(y\)-intercept? The slope is [ ], and the line is shifted [ ]. flatter steeper

[Done] 1. Use the place value chart to complete the statement and equation. \begin{tabular}{|l|l|l|l|l|l|}\hline millions & hundred thousands & ten thousands & thousands & hundreds & tens \\ \hline & & & & & & \\ \hline\end{tabular} 6 ten thousands is 10 times as much as $\qquad$ . $60,000=10 \times$ $\qquad$ 2. Use the place value chart to complete the equation.

[Done] For a general function [tex]$y=f(x)$[/tex], what does [tex]$\frac{f(5)-f(2)}{5-2}$[/tex] represent?

[Done] A sample proportion of 0.62 is found. To determine the margin of error for this statistic, a simulation of 200 trials is run, each with a sample size of 100 and a point estimate of 0.62. The minimum sample proportion from the simulation is 0.73, and the maximum sample proportion from the simulation is 0.97. What is the margin of error of the population proportion using an estimate of the standard deviation? A. [tex]$\pm 0.02$[/tex] B. [tex]$\pm 0.08$[/tex] C. [tex]$\pm 0.12$[/tex] D. [tex]$\pm 0.16$[/tex]

[Done] Solve the equation. 9. $y-(-10)=2$

[Done] Find the domain of [tex]f ( x )[/tex]. [tex]f(x)=\sqrt{-16-2 x}[/tex]