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Questions in mathematics

📝 Answered - If [tex]f(x)=\sqrt{x}+12[/tex] and [tex]g(x)=2 \sqrt{x}[/tex], what is the value of [tex](f-g)(144)[/tex]?

📝 Answered - If [tex]$TU=x+1$[/tex], [tex]$UV=3x$[/tex], and [tex]$TV=9$[/tex], what is [tex]$TU$[/tex]? Simplify your answer and write it as a proper fraction, mixed number, or integer.

📝 Answered - Evaluate the expression. $5^4$

📝 Answered - Simplify completely: [tex]3(6 x-7 y)-(x+4 y)[/tex]

📝 Answered - Subtract: $\left(-9 b^9-11 n\right)-\left(6 b^9-7 n\right)$ Your answer should be in simplest terms.

📝 Answered - $(1 / 3)(9 x+36)=-(4 x+16)

📝 Answered - Simplify each of the expressions below by combining like terms. \begin{tabular}{|l|l|l|} \hline 4. $18+21 r-4 r+19 n-3$ & \multicolumn{2}{|c|}{5. $-x+6 y-9 x-2 y-4 y$} \\ \hline 7. $-4 \frac{1}{2} x+15+\frac{7}{2} x-23$ & 8. $4 a-7.5 b+9 b-2.1 a$ & \\ \hline \multicolumn{2}{|c|}{\multirow{2}{*}{\begin{tabular}{l} 10. Simplify an expression for the perimeter of the rectangle. $24.6 x-10.4$ $\square$ $7 x+3.1$ \\ Perimeter: $\qquad$ \end{tabular}}} & 11. Marge s below. \\ \hline & & \\ \hline \end{tabular}

📝 Answered - Select the correct answer. Which statement is true about this equation? [tex]$y=2^x+4$[/tex] A. It represents both a relation and a function. B. It represents neither a relation nor a function. C. It represents a relation only. D. It represents a function only.

📝 Answered - Point N is on line segment $\overline{M O}$. Given $M N=x, M O=3 x-6$, and $N O=x+1$, determine the numerical length of $\overline{M O}$.

📝 Answered - Select the correct answer. One factor of this polynomial is $(x-5)$. [tex]x^3-15 x^2+71 x-105[/tex] Which expression represents the other factor, or factors, of the polynomial? A. [tex]x^2+10 x-21[/tex] B. [tex](x-7)(x-3)[/tex] C. [tex](x+7)(x-3)[/tex] D. [tex]x^2+10 x+21[/tex]