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Questions in mathematics

[Done] Solve $\log _2 x=\log _{12} x$ by graphing. What equations should be graphed? $y_1=\frac{\log x}{\log 2}$ $y_2=\frac{\log x}{\log 12}$

[Done] Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces. Which table contains only viable solutions if $b$ represents the number of books he orders and $w$ represents the total weight of the books, in ounces? \begin{tabular}{|c|c|} \hline Books $( b )$ & Weight $( w )$ \\ \hline-2 & -12 \\ \hline-1 & -6 \\ \hline 0 & 0 \\ \hline 1 & 6 \\ \hline 2 & 12 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hline Books $(b)$ & Weight $(w)$ \\ \hline-1 & -6 \\ \hline-0.5 & -3 \\ \hline 0 & 0 \\ \hline 0.5 & 3 \\ \hline 1 & 6 \\ \hline \end{tabular}

[Done] Which of the following is equivalent to [tex]$\frac{1}{\log _3(m)}$[/tex]? Choose 1 answer: A. [tex]$\log _m(3)$[/tex] B. [tex]$\log _3(m)$[/tex] C. [tex]$-\log _m(3)$[/tex] D. [tex]$-\log _3(m)$[/tex]

[Done] Let $x=a+b i$, $y=c+d i$, and $z=f+g i$. Which statements are true? Choose three correct answers. $(x+y)+z=x+(y+z)$ $(x \times y) \times z=x \times(y \times z)$ $x-y=y-x$

[Done] What is the slope of the line represented by the equation $y=-\frac{1}{2} x+\frac{1}{4}$? A. $-\frac{1}{2}$ B. $-\frac{1}{4}$ C. $\frac{1}{4}$ D. $\frac{1}{2}$

[Done] If $f(x)=x+8$ and $g(x)=-4 x-3$, find $(f-g)(x)$. A. $(f-g)(x)=-3 x+5$ B. $(f-g)(x)=5 x+11$ C. $(f-g)(x)=-5 x-11$ D. $(f-g)(x)=-3 x-5

[Done] Julia is making a square table napkin with sides measuring 8 cm. What is the area of the napkin?

[Done] Find the zeros of the polynomial: f(x) = x² + 2x - 8 List your answers in ascending order.

[Done] 2. Multiply and find the product of the following: (a) (-2) × (5) × (-7) (b) 6 × (8) × (-9) (c) (-5) × (-6) × (-3) × (2) (d) (-1) × (9) × (-9) × (3) 3. Write the exponent of each of the following: (a) (7)^{11} (b) (-6)^{3} (c) (1)^{20} (d) (5)^{7}

[Done] Solve these problems using the DMAS rule. (a) 5 + 3 x 6 (b) 35 - 7 x 2 (c) 64 ÷ 8 x 4 (d) 23 + 45 ÷ 5 - 3 x 4 (e) 9 + 25 ÷ 5 - 2 (f) 56 ÷ 8 x 6 ÷ 3 (g) 13 + 8 x 7 - 3 (h) 36 x 9 ÷ 3 + 12 - 4