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Home Question Bank Math Pre Algebra Archive 2024 November 05

Pre-algebra Questions from Nov 05,2024

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

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Type the integer that makes the following subtraction sentence true: \( \square--69=-7 \) Donna De Paul is raising money for the homeless. She discovers that each church group requires 2 hours of letter writing and 1 hour of follow-up, while for each labor union she needs 2 hours of letter writing and 3 hours of follow-up. Donna can raise \( \$ 100 \) from each church group and \( \$ 175 \) from each union local, and she has a maximum of 20 hours of letter writing and a maximum of 16 hours of follow-up available per month. Determine the most profitable mixture of groups she should contact and the most money she can raise in a month. Question 3 Place each of the following numbers on a number line. \[ -4, \quad \frac{28}{10}, \quad 0.9, \quad-\frac{3}{4}, \quad \sqrt{4}, \quad-\frac{17}{5} \] How is the graph of \( y=\sqrt{x+3} \) translated from the graph of \( y=\sqrt{x} \) ? shifted 3 units right shifted 3 units up shifted 3 units down shifted 3 units left Describe how to translate the graph of \( y=\sqrt{x} \) to obtain the graph of \( y=\sqrt{x+2} \). shift right 2 units shift up 2 units. shift down 2 units shift left 2 units Previous Describe how to translate the graph of \( y=\sqrt{x} \) to obtain the graph of \( y=\sqrt{x-15} \) shift left 15 units shift right 15 units shift down 15 units shift up 15 units How is the graph of \( y=\sqrt{x+7} \) translated from the graph of \( y=\sqrt{x} \) ? Seven units down from \( y=\sqrt{x} \). Seven units to the left of \( y=\sqrt{x} \). Seven units up from \( y=\sqrt{x} \) Seven units to the right of \( y=\sqrt{x} \). In 2014 the population of a small town was 42,386 and was increasing at a rate of \( 1.6 \% \) per year. In what year will the town's population reach 50,000 at the same rate of growth? If the parent function is \( y=\sqrt[3]{x} \), describe the translation of the function \( y=\sqrt[3]{x+4}-3 \). Three units to the right and four units up from \( y=\sqrt[3]{x} \) Four units to the left and three units down from \( y=\sqrt[3]{x} \) Three units to the left and four units up from \( y=\sqrt[3]{x} \) Four units to the right and three units down from \( y=\sqrt[3]{x} \) Find the domain of the function. \( f(x)=\frac{\sqrt{x+9}}{x-1} \)
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