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Home Question Bank Math Algebra Archive 2024 November 21

Algebra Questions from Nov 21,2024

Browse the Algebra Q&A Archive for Nov 21,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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What is the solution(s) of the equation \( \frac{9}{z}+\frac{9}{z-2}=12 \) ? (1 point) 3 \( \frac{1}{2} \). \( \frac{1}{2} \) and 3 no solution Simplify. \( \sqrt{8 x^{4}} \) Assume that the variable \( x \) represents a positive real number. \( 2 \sqrt{2} \) What value(s) of \( x \) makes \( \frac{4 x}{x+5}+\frac{20}{x}=\frac{100}{x^{2}+5 x} \) true? Solve the quadratic by factoring. \[ 3 x^{2}+12=22 x+5 \] Simplify. \[ \sqrt{8 x^{4}} \] Assume that the variable \( x \) represents a positive real Part 2 of 2 A town's population is 38,600 About 75 people move out of the town each month. Each month, 125 people on average move into town. A neartby town has a population of 40,600 it has no one moving in and an average of 150 people moving away every month. In about how many months will the populations of the towns be equal? Write an equation to model the situation. Then solve the equation and answer the question. The sum of two numbers is 39 . One number is 2 times as large as the Sarger number: (1) Write and solve an expression for the following situation: " 6 more than 7 times the amount of 10 " What would be the restriction(s) given for \( \frac{3}{y-2}+\frac{2 y}{4-y^{2}}=\frac{5}{y+2} ? \) Sea \( T\left(a+b t+c t^{2}+d t^{3}\right)=a-2 b-d \) una transformación lineal de \( P_{3}(t) \quad a \Re \) cuál de los siguientes conjunto genera un base del Ker(T) (A) \( \left\{1+t^{3}, 2+t, t^{2}\right\} \) (B) \( \left\{1+2 t+t^{2}, 1+t, 3+t+t^{3}\right\} \) (C) \( \left\{1-t+t^{2}, 2+2 t^{2}, 1+t^{3}\right\} \) (D) \( \left\{t, 1+2 t-t^{2}+t^{3}, 2+t+t^{2}\right\} \)
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