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Home Question Bank Math Archive 2025 February 04

Math Questions from Feb 04,2025

Browse the Math Q&A Archive for Feb 04,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Find the compound amount and the amount of interest earned by the following deposit. \( \$ 5100 \) at \( 3.1 \% \) compounded continuously for 5 years. The future value after 5 years is approximately \( \$ \square \). (Do not round until the final answer. Then round to the nearest cent as needed.) Question The image of the point \( (-3,8) \) under a translation is \( (1,10) \). Find the coordinates of the image of the point \( (5,-4) \) under the same translation. Answer Attempt 1 out of 3 \( (\boxed{\mid}, \square) \) Whatch Video Examples How many solutions does this system \[ \begin{array}{c}\text { have? } \\ 2 x+y=-1 \\ -4 x-2 y=-5\end{array} \] Infinite Oone One Find the horizontal intercepts of the function \( f(x)=4|x+4|-2 \) The intercepts are at \( x= \) Submit Question Graph the following function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function \( \mathrm{y}=\mathrm{x}^{2} \) and show all stages. Be sure to identify at least three key points. Find the domain and the range of the function. \( \mathrm{f}(\mathrm{x})=\mathrm{x}^{2}+2 \) The domain of \( \mathrm{f}(\mathrm{x}) \) is \( (-\infty, \infty) \). \( _{\text {(Type your answer in interval notation.) }}^{\text {The range of } \mathrm{f}(\mathrm{x}) \text { is }} \) (Type your answer in interval notation.) . \( 2 \quad \frac { 4 } { 5 } - \frac { 2 } { 5 } = \) The cost of a gym membership is \( \$ 16 \) per month plus a one-time application fee of \( \$ 64 \). Which equation can be used to determine the value of \( y \), the total cost, in dollars, for \( x \) months of gym membership? (A) \( y=48 x \) (B) \( y=80 x \) (C) \( y=16 x-64 \) (D) \( y=16 x+64 \) (E) \( y=64 x+16 \) 17) \( 2 \sqrt[6]{128}-\sqrt[6]{2} \) Find the acute angle \( A \). \( \cos A=0.358 \) \( A \approx \square^{\circ} \) (Round to the nearest tenth as needed.) 2. [-/2 Points] DETAILS MY NOTES LARPCALC10 2.7.043. \( \begin{array}{l}\text { Solve the inequality. (Enter your answer using interval notation.) } \\ \frac{3 x+7}{x-1}<2\end{array} \) Graph the solution set.
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