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Questions in mathematics

[Solved] Determine any data values that are missing from the table, assuming that the data represent a linear function. \begin{tabular}{|l|l|} \hline$x$ & $y$ \\ \hline 1 & 2 \\ \hline 2 & 3 \\ \hline 3 & \\ \hline \end{tabular} A. 2 B. 4 C. 5 D. 6

[Solved] At which value in the domain does [tex]f(x)=0[/tex]? [tex]x=-3[/tex] [tex]x=0[/tex] [tex]x=1[/tex] [tex]x=4[/tex]

[Solved] [tex]\frac{2+i}{2-i}[/tex]

[Solved] It takes Mr. Martin 12 minutes to drive his bus route without stopping to pick up any passengers. For each passenger stop, he estimates that 30 seconds is added to his travel time. On Tuesday, Mr. Martin spends 14 minutes driving his route. Which equation can be used to determine the number of passenger stops, p, Mr. Martin had on Tuesday? A. [tex]$14=0.5 p+12$[/tex] B. [tex]$14=12 p+0.5$[/tex] C. [tex]$p=0.5(14)+12$[/tex] D. [tex]$p=12(14)+0.5$[/tex]

[Solved] Solve each problem. Round to the nearest tenth, if necessary. Use 3.14 for 11. What is the width of a rectangle with length 25 in. and area 375 in.²? 12. What is the radius of a circle with circumference 5 cm? 13. A triangle has base 15 ft and area 60 ft². What is the height?

[Solved] Simplify: [tex]$\frac{x^2-4}{x^2+2 x-8} \div \frac{5 x+10}{x+4}$[/tex]

[Solved] A line contains points $M(1,3)$ and $N(5,0)$. What is the slope of $\overline{M N}$ ? A. $-\frac{4}{3}$ B. $-\frac{3}{4}$ C. $\frac{3}{4}$ D. $\frac{4}{3}$

[Solved] What is the simplified form of this expression? $(9 x-7)-(4 x-11)$ A. $9 x$ B. $5 x-18$ C. $5 x+4$ D. $13 x+4$

[Solved] Sound intensity $(I)$ is measured in watts per meter squared $\left(\frac{W}{m^2}\right)$, and the loudness of the sound, $L(I)$, which is measured in decibels $(d B)$, is decreased by the function $L(I)=10 \log \left(\frac{I}{I_0}\right)$. A barely audible sound has intensity $I_0=10^{-12} \frac{W}{ m ^2}$. Rounded to the nearest tenth of a decibel, what is the loudness, in decibels, of a musical group that plays with sound intensity of $I=6.7 \times 10^{-3} \frac{W}{ m ^2}$ ? A. 8.2 B. 98.3 C. 9.8 D. 76.5

[Solved] In the equation [tex]$6 x-2=-4 x+2$[/tex], Spencer claims that the first step is to add [tex]$4 x$[/tex] to both sides. Jeremiah claims that the first step is to subtract [tex]$6 x$[/tex] from both sides. Who is correct? Explain.