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Questions in mathematics

[Answered] If [tex]p(x)=x^2-1[/tex] and [tex]q(x)=5(x-1)[/tex], which expression is equivalent to [tex](p-q)(x)[/tex] ? A. [tex]5(x-1)-x^2-1[/tex] B. [tex](5 x-1)-\left(x^2-1\right)[/tex] C. [tex]\left(x^2-1\right)-5(x-1)[/tex] D. [tex]\left(x^2-1\right)-5 x-1[/tex]

[Answered] Solve for x, given the equation $\sqrt{x-5}+7=11$. A. $x=21$, solution is extraneous B. $x=21$, solution is not extraneous C. $x=81$, solution is extraneous D. $x=81$, solution is not extraneous

[Answered] What is the modulus of $6+7 i $? A. $\sqrt{13}$ B. $i \sqrt{13}$ C. $i \sqrt{26}$ D. $\sqrt{85}$

[Answered] The Weather Channel reported that normal snowfall is 138.44 inches for Lexington County. This winter the following occurred: December: 18.46 inches January: 15.438 inches February: 18.999 inches March: 24.861 inches How much was the snowfall below normal?

[Answered] What is the value of [tex]$x$[/tex] in the equation [tex]$7x + 2y = 48$[/tex], when [tex]$y = 3$[/tex]?

[Answered] Evaluate. $\begin{array}{l} (-8)^2=\square \\-(6)^2=\square\end{array}$

[Answered] Find the mean deviation about the median for the following data: (a) \begin{tabular}{|c|c|c|c|c|c|} \hline$x$ & 15 & 21 & 27 & 30 & 35 \\ \hline$f$ & 3 & 5 & 6 & 7 & 8 \\ \hline \end{tabular} (b) \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline$x$ & 5 & 7 & 9 & 11 & 13 & 15 & 17 \\ \hline$f$ & 2 & 4 & 6 & 8 & 10 & 12 & 8 \\ \hline \end{tabular}

[Answered] 17) [tex]$4 \frac{1}{9} \times 1 \frac{2}{3}$[/tex]

[Answered] Simplify the expression using the rules for order of operations. $-2-(4)^2 \div(-5-3) \cdot 3$

[Answered] Two concentric circles are such that the radius of the larger is always twice the radius of the smaller. If the radius of the smaller is increasing at [tex]0.2 cm / sec[/tex], find the rate at which the area between the circles is increasing when the radius of the smaller is 12 cm.