Questions in mathematics

Questions in mathematics

📝 Answered - Which set of ordered pairs could be generated by an exponential function? A. (1,1), (2, 1/2), (3, 1/3), (4, 1/4) B. (1,1), (2, 1/4), (3, 1/9), (4, 1/16) C. (1, 1/2), (2, 1/4), (3, 1/8), (4, 1/16) D. (1, 1/2), (2, 1/4), (3, 1/6), (4, 1/8)

📝 Answered - Ben has a cell phone plan that provides 200 free minutes each month for a flat rate of $39. For any minutes over 200, Ben is charged $0.35 per minute. Which of the following piecewise functions accurately represents charges based on Ben's cell phone plan? A. [tex]f(x)=\left\{\begin{array}{c}39, x \leq 200 \\ 39+.35(x-200), x\ \textgreater \ 200\end{array}\right\}[/tex] B. [tex]f(x)=\left\{\begin{array}{c}39, x \leq 200 \\ .35(x-200), x\ \textgreater \ 200\end{array}\right\}[/tex] C. [tex]f(x)=\left\{\begin{array}{c}39, x \leq 200 \\ .35 x, x\ \textgreater \ 200\end{array}\right\}[/tex] D. [tex]f(x)=\left\{\begin{array}{c}39, x\ \textgreater \ 200 \\ 39+.35, x \leq 200\end{array}\right\}[/tex]

📝 Answered - Which exponential functions have been simplified correctly? Check all that apply. [tex]f(x)=5 \sqrt[3]{16}^x=5(2 \sqrt[3]{2})^x[/tex] [tex]f(x)=2.3(8)^{\frac{1}{2} x}=2.3(4)^x[/tex] [tex]f(x)=81^{\frac{x}{4}}=3^x[/tex] [tex]f(x)=\frac{3}{4} \sqrt{27}^x=\frac{3}{4}(3 \sqrt{3})^x[/tex] [tex]f(x)=(24)^{\frac{1}{3} x}=2(\sqrt[3]{3})^x[/tex]

📝 Answered - $f(x)=5 x^3$ and $g(x)=x+1$, find $(f ">• g)(x)$. A. $5 x^3+1$ B. $5 x^4+5 x^3$ C. $5 x^4+1$ D. $6 x^3

📝 Answered - Which value must be added to the expression [tex]x^2+12 x[/tex] to make it a perfect-square trinomial? A. 6 B. 36 C. 72 D. 144

📝 Answered - Which expression is the same as [tex]$x^{\frac{7}{3}}$[/tex]? A. [tex]$\sqrt[7]{x^3}$[/tex] B. [tex]$\sqrt[3]{x^7}$[/tex] C. [tex]$\frac{1}{7} x^3$[/tex] D. [tex]$\frac{1}{3} x^7$[/tex]

📝 Answered - The function $h(x)$ is defined as shown. $h(x)=\left\{\begin{array}{ll} x+2, & x<3 \ -x+8, & x \geq 3 \end{array}\right.$ What is the range of $h(x)$ ? A. $-\infty < h(x) < \infty$ B. $h(x) \leq 5$ C. $h(x) \geq 5$ D. $h(x) \geq 3$

📝 Answered - Solve the following equation for $x$. $\log x+\log (x-1)=\log (4 x)$ A. $x=1 / 4 \log (x-1)$ B. There are no solutions. C. $x=0,5$ D. $x=5$

📝 Answered - Divide and simplify. [tex]$\frac{a+b}{a b} \div \frac{a^2-b^2}{5 a^3 b}$[/tex]

📝 Answered - Solve $x^2-8x=3$ by completing the square. Which is the solution set of the equation? {4-\sqrt{19}, 4+\sqrt{19}} (4-\sqrt{11}, 4+\sqrt{11}) {4-\sqrt{8}, 4+\sqrt{8}} {4-\sqrt{3}, 4+\sqrt{3}}