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Questions in mathematics

[Done] Find the difference: $\frac{2}{x+10}-\frac{3}{x+4}$

[Done] The table shows the estimated number of lines of code written by computer programmers per hour when [tex]$x$[/tex] people are working. Productivity People working & Lines of code written hourly 2 & 50 4 & 110 6 & 160 8 & 210 10 & 270 12 & 320 Which model best represents the data? [tex]$y=47(1.191)^x$[/tex] [tex]$y=34(1.204)^x$[/tex] [tex]$y=26.9 x-1.3$[/tex] [tex]$y=27 x-4$[/tex]

[Done] The table shows how an elevator 500 feet above the ground is descending at a steady rate. | Time in seconds $(t)$ | Height in feet $h(t)$ | |---|---| | 0 | 500 | | 5 | 475 | | 10 | 450 | | 15 | 425 | Which equation represents the height, $h(t)$, of the elevator in feet, as a function of $t$, the number of seconds during which it has been descending? A. [tex]$h(t)=5 t+500$[/tex] B. [tex]$h(t)=5 t-500$[/tex] C. [tex]$h(t)=-5 t+500$[/tex] D. [tex]$h(t)=-5 t-500$[/tex]

[Done] $\begin{array}{r}480.67 g \div 0.74 mL=\square \frac{ g }{ mL } \\ 908.90 m \div 74.157 s^4=\square \frac{ m }{ s } \\ 20.94 cm \times 14 . cm =\square cm ^2\end{array}$

[Done] Find the critical point of the function $f(x, y)=4-8 x-2 x^2+3 y-6 y^2$. This critical point is a:

[Done] For $y=-2 x^2+6 x$, determine the vertex, axis of symmetry, domain, and range. Vertex $\square$ Axis of Symmetry $\square$ Domain $\square$ Range $\square$

[Done] Which pair of expressions is equivalent? (A) [tex]$15 a+6$[/tex] and [tex]$3(5 a+3)$[/tex] (B) [tex]$14 b+4$[/tex] and [tex]$2(7 b-2)$[/tex] (C) [tex]$5(2 c+3)$[/tex] and [tex]$7 c+8$[/tex] (D) [tex]$3(d+5)$[/tex] and [tex]$3 d+15$[/tex]

[Done] Solve for x. $3(-3 x-1)+5 x+4=-15$

[Done] 2. Convert using an equation. Use your meter strip when it helps you. a. 4 meters to millimeters [tex]$\qquad$[/tex] m = [tex]$\qquad$[/tex] mm

[Done] What are the roots of the polynomial equation $x^3-10 x=-3 x^2+24$?