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Home Question Bank Math Algebra Archive 2024 December 18

Algebra Questions from Dec 18,2024

Browse the Algebra Q&A Archive for Dec 18,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Which equation is set up for direct use of the zero-factor property? Solve it. \( \begin{array}{ll}\text { A. } 3 x^{2}-26 x-9=0 & \text { B. }(3 x+5)^{2}=5 \\ \text { C. } x^{2}+x=72 & \text { D. }(3 x-1)(x-7)=0\end{array} \) Choose the correct answer below. A. \( 3 x^{2}-26 x-9=0 \) B. \( (3 x+5)^{2}=5 \) C. \( x^{2}+x=72 \) D. \( (3 x-1)(x-7)=0 \) The solution set is \( \{\square \). Graph the Polynomials: \[ y=-x^{2}(x-4)(x+2)^{3} \] Solve the equation by extracting square roots. List both the exact solution and its approximation rounded to two decimal places. \[ (x+8)^{2}=54 \] Step 1 Remember that the equation \( u^{2}=d \), where \( d>0 \), has exactly two solutions: \[ u=\square \text { and } u=-\square \] 1) Coach Johnson observed the track team practicing and predicted how many team members would be interested in jumping hurdles. When he then asked the team who was interested in jumping hurdles, 10 members raised their hands. Coach Johnson had predicted that \( 40 \% \) more members than that would raise a hand. How many team members had Coach Johnson predicted would be interested in jumping hurdles? (1) The Parktown Animal Shelter held a silent auction to raise money. The organizers predicted how nuch money they would raise. On the day of the silent auction, they raised \( \$ 4,000 \). Their prediction had eeen \( 15 \% \) less than that. How much money had the organizers predicted they would raise? multiply: \( (1+i)(2-i) \) Evaluate the expression: \( 4^{\frac{1}{2}} \times 4^{\frac{3}{2}} \) If \( f(x)=x^{4}-3 x^{3}+x^{2}-x+2 \) the remainder when \( f(x) \) is divided by \( (x-1) \) is: Resuelve ejercicios sobre álgebra básica aplicando factoreo \( x^{2 n} b^{4 n}-\frac{4}{25}= \) \( 8 a^{9}-125 y^{3} z^{6}= \) 19 Select all expressions that are equivalent to \( -3.75+2(-4 x+6.1)-3.25 x \). A \( 8.45-8 x-3.25 x \) B \( -1.75-7.25 x+6.1 \) C \( 7 x-2 x+8.1 \) D \( -11.25 x+12.2-3.75 \)
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