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Home Question Bank Math Pre Calculus Archive 2024 December 05

Pre-calculus Questions from Dec 05,2024

Browse the Pre-calculus Q&A Archive for Dec 05,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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The graph of \( y=|x| \) is shifted 7 units to the left, vertically stretched by a factor of 2 , and then reflected across the \( x \)-axis. Determine the formula for this transformed function. \( \begin{array}{l}y=-2|x+7| \\ y=-|x+7|+2 \\ y=-|x-7|-2 \\ y=-7|x-2|\end{array} \) Question 20 ( 3 points) The number of acres in a landfill is given by the function \( B(t)=7900 \mathrm{e}^{-0.03 t} \), where \( t \) is measured in years. How many acres will the landfill have after 4 years? (Round to the nearest acre.) 7,007 acres 7,274 acres 16,750 acres 5,993 acres 7.16. Знайдіть область значень функції: \( \begin{array}{ll}\text { 1) } y=\frac{2}{3-\cos x} ; & \text { 2) } y=\frac{1}{\sin x+1}\end{array} \) Question Graph the function \( f(x)=3^{x-2} \) by moving the key points. Question Which of the following exponential functions is decreasing (from left to right)? Select two correct answers. Select all that apply: \( \square f(x)=(0.74)^{x} \) \( \square f(x)=\left(\frac{1}{7}\right)^{x} \) \( \square f(x)=(1.3)^{x} \) \( \square f(x)=(2.3)^{x} \) Find the horizontal asymptote, if any, of the graph of the rational function. \( g(x)=\frac{20 x^{2}}{5 x^{2}+9} \) \( f(x)=(x) \) en el intervalo \( x \in[0,2 \pi] \) Question An arrow is shot vertically upward from a platform 45 feet high at a rate of \( 168 \mathrm{ft} / \mathrm{sec} \). Use the quadratic function \( h(t)=-16 t^{2}+168 t+45 \) to find how long it will take for the arrow to reach its maximum height, and then find the maximum height. Give an exact answer. 1. Gegeben ist die Funktion \( f(x)=1,5^{\mathrm{x}} \). a) Berechne die Funktionswerte an den Stellen -3 und 1,1 . b) An welchen Stellen nimmt die Funktion die Werte 0,5 bzw. 100 an? c) Die Funktion \( f(x) \) wird - um 1 nach oben (entlang der \( y \)-Achse) verschoben - um 3 nach rechts (entlang der \( x \)-Achse) verschoben - mit dem Faktor 2 gestreckt - um 2 nach unten (entlang der \( y \)-Achse) verschoben und an der \( x \)-Achse gespiegelt Bestimme die Funktionsgleichungen. Question A store owner estimates that by charging \( x \) dollars each for a certain brand of sunglasses, he can sell \( 40-x \) pairs of sunglasses each week. The quadratic function \( R(x)=-x^{2}+40 x \) is used to find the revenue, \( R \), received when the selling price of a pair of sunglasses is \( x \). Find the selling price that will give him the maximum revenue, and then find the amount of the maximum revenue.
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