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Questions in Grade College

📝 Answered - Simplify the expression: $(2 x)^2 \cdot 3 x^3$

📝 Answered - The polynomial equation $x^3+x^2=-9 x-9$ has complex roots $\pm 3 i$. What is the other root?

📝 Answered - What is the equation of the line that is perpendicular to the line [tex]y=\frac{3}{5} x+10[/tex] and passes through the point (15,-5)? A. [tex]y=\frac{3}{5} x-20[/tex] B. [tex]y=-\frac{3}{5} x+20[/tex] C. [tex]y=\frac{5}{3} x-20[/tex] D. [tex]y=-\frac{5}{3} x+20[/tex]

📝 Answered - What is $2\left(\log _3 8+\log _3 z\right)-\log _3\left(3^4-7^2\right)$ written as a single logarithm? A. $\log _3 2 z$ B. $\log _3 2 z^2$ C. $\log _3 \frac{z^2}{4}$ D. $\log _3 \frac{64 z^2}{\frac{81}{49}}$

📝 Answered - Which functions represent exponential growth? y = f(x) y = h(x) y = g(x) y = k(x)

📝 Answered - Explain why someone would choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand.

📝 Answered - 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

📝 Answered - 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.

📝 Answered - Write down two ways transverse waves and longitudinal waves are similar.

📝 Answered - Job safe practice documents is considered one of the A. Engineering control B. Administrative control C. Substitution control. D. PPE control