Questions in mathematics

Questions in mathematics

📝 Answered - Lily sold 18 items at the street fair. She sold bracelets for $6 each and necklaces for $5 each for a total of $101. Which system of equations can be used to find $b$, the number of bracelets she sold, and $n$, the number of necklaces she sold? A. [tex] \begin{array}{l} b+n=101 \\ 6 b+5 n=18 \end{array} [/tex] B. [tex] \begin{array}{l} b+n=101 \\ 5 b+6 n=18 \end{array} [/tex] C. [tex] \begin{array}{l} b+n=18 \\ 6 b+5 n=101 \end{array} [/tex] D. [tex] \begin{array}{l} b+n=18 \\ 5 b+6 n=101 \end{array} [/tex]

📝 Answered - What is the solution to the equation $\frac{1}{h-5}+\frac{2}{h+5}=\frac{16}{h^2-25}$? A. $h=\frac{11}{3}$ B. $h=5$ C. $h=7$ D. $h=\frac{21}{2}$

📝 Answered - Solve $|4-2 x|=|3 x+2|$.

📝 Answered - Which of the following describes the domain of the piecewise function: [Format: g(x) = { x²+3x / x²+x-6 for x<3, log2(x+5) for x≥3 }] A. (-∞,∞) B. (0, 2) ∪ (2,∞) C. (0, 2) ∪ (2, 3) ∪ (3,∞) D. (-∞,-3)∪(-3, 2) ∪ (2, ∞)

📝 Answered - $(0,4)$ is a solution to $\frac{1}{2} x+y<6$. True or False?

📝 Answered - g) $\frac{25^{-1}}{5^{-2}} \div \frac{0,05^{-2}}{0,1^{-3}}$

📝 Answered - One cubic meter represents a cube-shaped space measuring 1 meter in all three dimensions. How long is each side in centimeters? A. 1 B. 10 C. 100 D. 1,000

📝 Answered - Multiply. Write your answer in simplest form. $\frac{1}{3} \times \frac{1}{6}$

📝 Answered - Determine whether the following equation defines [tex]$y$[/tex] as a function of [tex]$x$[/tex]. [tex]$x-5=y^2$[/tex] Does the equation [tex]$x-5=y^2$[/tex] define [tex]$y$[/tex] as a function of [tex]$x$[/tex]?

📝 Answered - Consider the function [tex]$f(x)$[/tex] whose second derivative is [tex]$f^{\prime \prime}(x)=6 x+8 \sin (x)$[/tex]. If [tex]$f(0)=3$[/tex] and [tex]$f^{\prime}(0)=2$[/tex], what is [tex]$f(x)$[/tex]? [tex]$f(x)= \square$[/tex]