Questions in mathematics

Questions in mathematics

📝 Answered - The graph of the function $f(x)=-(x+1)^2$ is shown. Use the drop-down menus to describe the key aspects of the function. The vertex is the $\square$ . The function is positive $\square$ The function is decreasing $\square$ The domain of the function is $\square$ The range of the function is $\square$

📝 Answered - Multiply $(6-5 i)^2$. A) $11+60 i$ B) $11-60 i$ C) $36+25 i$ D) $36-25 i$

📝 Answered - Zipper Acquisition: If Peter brings 5 zippers of a certain style, Jenny contributes 3, and Rita provides [tex]$\frac{2}{5}$[/tex] of a set of ten, how many zippers do they have in total for the show? Select one of four 12 zippers 14 zippers 15 zippers 10 zippers

📝 Answered - Convert the following number into correct scientific notation. [tex]$\begin{array}{c} 20 \times 10^4 \ {[?] \times 10^{[?]}} \end{array}$[/tex] Enter the coefficient in the green box and the exponent in the yellow box. Coefficient [$\square$] Exponent [$\square$]

📝 Answered - A number is less than 20 units away from 7 on the number line. What numbers are within these parameters? Choose the inequality that represents the situation. Solve the inequality.

📝 Answered - Write 0.416666667 correct to 3 significant figures.

📝 Answered - Which function has the given properties below? The domain is the set of all real numbers. One $x$-intercept is $\left(\frac{\pi}{2}, 0\right)$. The maximum value is 3. The $y$-intercept is $(0,-3)$. A. $y=-3 \sin (x)$ B. $y=-3 \cos (x)$ C. $y=3 \sin (x)$ D. $y=3 \cos (x)$

📝 Answered - The revenue (in millions of dollars) from the sale of [tex]$x$[/tex] units at a home supply outlet is given by [tex]$R(x)=0.12 x$[/tex]. The profit (in millions of dollars) from the sale of [tex]$x$[/tex] units is given by [tex]$P ( x )=0.085 x -0.9$[/tex]. What is the cost of producing 8 units? (Please provide your answer in MILLIONS)

📝 Answered - (a) Given the function [tex]$f(x)=3|x-1|-2$[/tex]. (i) Sketch the graph of the function. (ii) Find the values of [tex]$x$[/tex] for which [tex]$f(x) \geq 0$[/tex] (iii) Solve the equation [tex]$f(x)=1$[/tex].

📝 Answered - Simplify: $\sqrt{289}$