Algebra Questions from Feb 09,2025

Browse the Algebra Q&A Archive for Feb 09,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Identify the polynomial divisor, dividend, and quotient represented by the synthetic division. Divisor: \( -3 \) * 3 \( x-3 \) \( x+3 \) Raांत्र Dividend: \[ 2 x^{3}+11 x^{2}+18 x+9 \] \( -6 x^{3}-15 x-9 \) \[ 2 x^{2}+5 x+3 \] DONE Quotient: \( 2 x^{4}+11 x^{3}+18 x+9 \) \( 2 x^{3}+5 x^{2}+3 x \) \[ 2 x^{2}+5 x+3 \] DONEIC Identify the polynomial divisor, dividend, and quotient represented by the synthetic division. Divisor: \( -3 \) \( \times 3 \) \( x-3 \) \( x+3 \) Dividend: \( 2 x^{3}+11 x^{2}+18 x+9 \) \( -6 x^{3}-15 x-9 \) \[ 2 x^{2}+5 x+3 \] DONE Quotient: \( 2 x^{4}+11 x^{3}+18 x+9 \) Which of the following expressions is equivalent to \( 3 x(2+5 y) \) ? \( 3 x+5 y \) \( 6 x+5 y \) \( 6 x+15 y \) \( 6 x+15 x y \) Check \( \$ 3,700 \) to axpand the children's section of the library. When she buys from a partici discount sellen paperback books cost \( \$ 2 \) each and hardback books cost \( \$ 25 \) each. 4)) Write the inequality in standard form that describes this situation. Use the give numbers and the following variables. 41) \( x= \) the number of paperback books 41) \( y= \) the number of hardback books \( 2 x+25 y \) Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form. \( (-3,5),(3,3) \) What is the point-slope form of the equation of the line? \( y-5=-\frac{1}{3}(x+3) \) (Simplify your answer. Use integers or fractions for any numbers in the equation.) What is the slope-intercept form of the equation of the line? \( \square \) Simplify your answer. Use integers or fractions for any numbers in the equation.) (Sins Write an equation in point-slope form of the line that passes through the given points, then write the equation in slope-intercept form. \( (-3,5),(3,3) \) What is the point-slope form of the equation of the line? \( \square \) (Simplify your answer. Use integers or fractions for any numbers in the equation.) \( a^{x}-a^{x+1}+a^{x+2} \) por \( a+1 \) You do: 20 - 30 minutes - Write each sentence as an algebraic equation. 7) Eleni is \( x \) years old. In thirteen years, she will be twenty four years old. 8) Each piece of candy costs 25 cents. The price of \( h \) candy is \( \$ 2.00 \). (1) A motel is purchasing new towels. Suites require 10 towels and Individual 5 towels. The minimum order required by the towel vendor is 846 towels. ()) Write the inequality in standard form that describes this situation. Use the numbers and the following variables. (1) \( x= \) the number of suites recelving new towels ()) \( y= \) the number of individual rooms receiving new towels (1) 5) Thirty-two is twice a number increased by eight.
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