GuideFoot - Learn Together, Grow Smarter. Logo

Questions in mathematics

📝 Answered - Solve for $q$. $3=\frac{q+2}{2}$

📝 Answered - Which statements are true for the functions [tex]g(x)=x^2[/tex] and [tex]h(x)=-x^2[/tex]? Check all that apply. A. For any value of [tex]x[/tex], [tex]g(x)[/tex] will always be greater than [tex]h(x)[/tex]. B. For any value of [tex]x[/tex], [tex]h(x)[/tex] will always be greater than [tex]g(x)[/tex]. C. [tex]g(x)\ \textgreater \ h(x)[/tex] for [tex]x=-1[/tex]. D. [tex]g(x)\ \textless \ h(x)[/tex] for [tex]x=3[/tex]. E. For positive values of [tex]x[/tex], [tex]g(x)\ \textgreater \ h(x)[/tex]. F. For negative values of [tex]x[/tex], [tex]g(x)\ \textgreater \ h(x)[/tex].

📝 Answered - Select the correct answer. The population of a community, [tex]$p(x)$[/tex], is modeled by this exponential function, where [tex]$x$[/tex] represents the number of years since the population started being recorded. [tex]$p(x)=2,400(1.025)^x$[/tex] What is the approximate population 3 years after the population started being recorded? A. 2,584 people B. 14,887 people C. 2,460 people D. 7,380 people

📝 Answered - Identify whether the following relations are functions of [tex]$x$[/tex] and state the domain and range. \begin{tabular}{|c|c|} \hline[tex]$x$[/tex] & [tex]$y$[/tex] \\ \hline-2 & -6 \\ \hline-1 & -2 \\ \hline 0 & 0 \\ \hline 1 & 2 \\ \hline 2 & 6 \\ \hline \end{tabular} [tex]$\{(4,3),(5,3),(6,3),(7,3)\} \quad x=18 y^2$[/tex] function Domain: [tex]$[-2,2]$[/tex] Range: [tex]$[-6,6]$[/tex] Not function Domain: [tex]$(-4,4)$[/tex] Range: [tex]$(-5,5)$[/tex] Function Domain: [4,7] Range: b. [tex]$g(x)=\frac{3 x-2}{(x+6)(x-4)}$[/tex] c. [tex]$f(x)=\sqrt{x-2}$[/tex] e. [tex]$h(x)=\frac{x}{x^2-2 x}$[/tex] g. [tex]$y=\frac{1}{x^2+6}$[/tex] f. [tex]$f(x)=\frac{5}{x+4}-\frac{2}{x}$[/tex] h. [tex]$g(x)=\frac{\sqrt{8-x}}{(x+4)\left(x^2+1\right)}$[/tex] 2. Write the domain in interval notation of each function: a. [tex]$y=x^2+7$[/tex] Domain: Range: d. [tex]$y=\frac{1}{\sqrt{5-x}}$[/tex]

📝 Answered - [tex]\frac{x^3+3 y}{6}=\frac{z-y}{2}[/tex] Given [tex]$x=2$[/tex] and [tex]$y=3$[/tex], solve for [tex]$z$[/tex].

📝 Answered - Select the correct answer. Function [tex]$h$[/tex] is a transformation of the parent exponential function. Which statement is true about this function? [tex]$h(x)=2^{x-5}$[/tex] A. As [tex]$x$[/tex] approaches negative infinity, [tex]$h(x)$[/tex] approaches positive infinity. B. As [tex]$x$[/tex] approaches negative infinity, [tex]$h(x)$[/tex] approaches negative infinity. C. As [tex]$x$[/tex] approaches positive infinity, [tex]$h(x)$[/tex] approaches positive infinity. D. As [tex]$x$[/tex] approaches positive infinity, [tex]$h(x)$[/tex] approaches 0.

📝 Answered - Simplify $\sqrt{18}$.

📝 Answered - $\int \frac{x^2}{x-1} d x$

📝 Answered - Ejercicio 1: En un salón hay 40 estudiantes numerados del 1 al 40. Sean los eventos: - [tex]A=[/tex] {números pares } - [tex]B=[/tex] {[tex]$\números primos$[/tex]} - [tex]C=[/tex] {[tex]$\múltiplos de 3$[/tex]} Determina los elementos de los siguientes conjuntos o sucesos: a) [tex]A \cup B[/tex] b) [tex]A \cap C[/tex] c) [tex]B \cup C[/tex] d) [tex]B \cap C[/tex] e) [tex]A \cap \bar{C}[/tex]

📝 Answered - Jika $2 x^3+x^2+4 x+4$ dibagi $2 x-3$, bagi dan sisanya berturut-turut adalah