Pre-calculus Questions from Nov 29,2024

Browse the Pre-calculus Q&A Archive for Nov 29,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Below is the graph of \( y=x^{3} \) Transform it to make it the graph of \( y=-2(x-4)^{3} \). La expresión logarítmica \[ \ln \sqrt{\left[\frac{x(x-3)}{2(x+4)}\right]} \] Dadas las funciones \( f(x)=\sqrt{x+2} \) y \( g(x)=x^{2}+3 x-1 \), se puede afirmar que la composición \( (g \circ f)(x) \) 15) If the amplitude for the number \( z=28^{\circ} \), then the amplitude for the number \( \left(\frac{i}{\bar{z}}\right)= \) \( \begin{array}{llll}\text { (a) } 28^{\circ} & \text { (b) } 62^{\circ} & \text { (c) } 118^{\circ} & \text { (d) }-28^{\circ}\end{array} \) \( C_{(f)}=20 .\left(\frac{1}{2}\right)^{\frac{1}{120}} ;(\mathrm{t}= \) en dias \( ) \). n cuanto tiempo la masa se reducirá hasta llegar a pesar 1 g Below is the graph of \( y=x^{3} \) Transform it to make it the graph of \( y=2(x-4)^{3}+3 \) Below is the graph of \( y=x^{3} \) Iransform it to make it the graph of \( y=2(x-4)^{3}+3 \) Repondre: Lensemble de definition de la fonction f est \( D_{f}=\left[-\frac{1}{2}, 4[\cup] 4,+\infty[\right. \). L'image de 3 par la fonction f est \( -\sqrt{7} \) . L'ensemble des antécédents de 0 par la fonction f est \( \left\{-\frac{1}{2}\right\} \) Question 3 1) Pour déterminer l'ensemble de définition d'une fonction, on doit trouver les valeurs de \( \times \) pour lesquelles la fonction est définie. Find the unit vector that has the same direction as the vector \( v \). \[ v=13 \mathbf{i}-5 \mathbf{j} \] The unit vector that has the same direction as the vector \( v=13 \mathbf{i}-5 \mathbf{j} \) is (Simplify your answer, including any radicals. Type your answer in the form ai + bj. Us expression. Rationalize all denominators.) Write the vector \( \mathbf{v} \) in terms of \( \mathbf{i} \) and j whose magnitude \( \|\mathbf{v}\| \) and direction angle \( \theta \) are given. \( |\mathbf{v}|=36, \theta=45^{\circ} \) \( \mathbf{v}=\square \) (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractic your answer in the form ai + bj. Rationalize all denominators)
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