Questions in Grade College

Questions in Grade College

[Done] Which functions represent exponential growth? y = f(x) y = h(x) y = g(x) y = k(x)

[Done] Explain why someone would choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand.

[Done] A rocket is launched from atop a 36-foot cliff with an initial velocity of 107 feet per second. The height of the rocket, [tex]$t$[/tex] seconds after launch is given by the equation [tex]$h=-16 t^2+107 t+36$[/tex]. Use the quadratic formula to find out how long after the rocket is launched it will hit the ground ([tex]$h=0$[/tex]). Round your answer to the nearest tenth of a second. A. 1.5 sec B. 0.3 sec C. 7.0 sec D. 6.3 sec

[Done] The function $f(x)=x^3+3$ is one-to-one. a. Find an equation for $f^{-1}$, the inverse function. b. Verify that your equation is correct by showing that $f(f^{-1}(x))=x$ and $f^{-1}(f(x))=x$. a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) A. $f^{-1}(x)=\sqrt[3]{x-3}$, for all $x$ B. $f^{-1}(x)=$, for $x \geq$ $\square$ C. $f^{-1}(x)=$, for $x \leq$ $\square$ D. $f^{-1}(x)=$, for $x \neq$\square b. Verify that the equation is correct. $\begin{aligned} f(f^{-1}(x)) & =f(\square) & \text { and } & f^{-1}(f(x)) \end{aligned}=f^{-1}(\square)=\square$\n$\square$ Substitute. Simplify.

[Done] Write down two ways transverse waves and longitudinal waves are similar.

[Done] Job safe practice documents is considered one of the A. Engineering control B. Administrative control C. Substitution control. D. PPE control

[Done] Select the correct answer. Function [tex]$h$[/tex] is the product of functions [tex]$f$[/tex] and [tex]$g$[/tex]. [tex] \begin{array}{l} f(x)=2 x+5 \ g(x)=6 x-9 \end{array} [/tex] Which equation defines function [tex]$h$[/tex]? A. [tex]$h(x)=12 x^2-4 x-45$[/tex] B. [tex]$h(x)=12 x^2-45$[/tex] C. [tex]$h(x)=12 x-45$[/tex] D. [tex]$h(x)=12 x^2+12 x-45$[/tex]

[Done] An aquifer receives $40 m^3$ of precipitation and loses $10 m^3$ of water through natural movement. How much water can be pumped from the aquifer to balance the budget? A. $10 m^3$ B. $20 m^3$ C. $30 m^3$ D. $40 m^3

[Done] A treaty is an international agreement that is negotiated by the president and requires A. a two-thirds vote by the House and the Senate B. a majority vote by the House and the Senate C. a two-thirds vote to consent by the Senate D. a two-thirds vote to consent by the House

[Done] Find an explicit formula for the geometric sequence $120, 60, 30, 15, \ldots$. Note: the first term should be $a(1)$. $a(n) =$