Questions in mathematics

Questions in mathematics

[Free] Solve these equations. a) $5 x-1=9$ b) $4 y+1=15$

[Free] Does the element $p=20$ belong to the set ${p \mid p=3 x, 0 \leq x \leq 21, x \in W}$? True False

[Free] Simplify [tex]$\frac{544^2-6}{34+1}$[/tex]

[Free] What are the $x$- and $y$-coordinates of point $C$, which partitions the directed line segment from A to B into the ratio 5:8? Round to the nearest tenth, if necessary. [tex]x=\left{\frac{m}{m+n}\right\}\left(x_2-x_1\right)+x_1[/tex] [tex]y=\left(\frac{m}{m+n}\right)\left(y_2-y_1\right)+y_1[/tex]

[Free] Homework Progress 73%% 61 / 95 Marks By rounding to one significant figure, estimate the answers to these questions: a) $\frac{634}{3 \times 17}=$ $\square$ b) $\frac{827}{4 \times 18}=$ $\square$

[Free] Prove that: [tex]$\sin ^8 A+\cos ^8 A=1-\frac{2}{\sin ^2} 2 A+\frac{1}{8} \sin ^4 2 A$[/tex]

[Free] The functions $f$ and $g$ are defined as follows: [tex]f(x)=x^2+5 x+9[/tex] and [tex]g(x)=\frac{2}{x^2-3}[/tex] Find [tex]f(x-2)[/tex] and [tex]g(-\frac{1}{x})[/tex]. Write your answers without parentheses and simplify them as much as possible. [tex]f(x-2)=[/tex] [tex]g(-\frac{1}{x})=[/tex]

[Free] Which second degree polynomial function has a leading coefficient of 2 and roots -3 and 5? A. [tex]f(x)=2 x^2+4 x-30[/tex] B. [tex]f(x)=2 x^2+2 x-15[/tex] C. [tex]f(x)=2 x^2-4 x-30[/tex] D. [tex]f(x)=2 x^2-2 x-15[/tex]

[Free] The mass of an amoeba is approximately $4.0 \times 10^{-6}$ grams. Which of the following is closest to the number of amoebas in 1 gram? A. $2.5 \times 10^5$ B. $4.0 \times 10^5$ C. $4.0 \times 10^7$ D. $2.5 \times 10^7$

[Free] The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day's supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents [tex]$y$[/tex], the profit earned by the hot dog stand for [tex]$x$[/tex] hot dogs sold? A. [tex]y=48 x-2[/tex] B. [tex]y=48 x+2[/tex] C. [tex]y=2 x-48[/tex] D. [tex]y=2 x+48[/tex]