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Home Question Bank Math Algebra Archive 2024 December 12

Algebra Questions from Dec 12,2024

Browse the Algebra Q&A Archive for Dec 12,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Look at the replacement set below. \[ \{0,4,5,13\} \] Which number from the replacement set is \( a^{\text {don }} \) solution of the inequality \( 8 \geq 5+x \) ? \( \begin{array}{llll}\text { A. } 0 & \text { B. } 4 & \text { C. } 5 & \text { D. } 13\end{array} \) 1. If \( f(x)=5 x \) and \( g(x)=x-3 \), what is the value of \( f(3)-g(4) ? \) Solve for \( z \) \[ \begin{array}{l}3 z=24 \\ z=\square\end{array} \] The measure of an angle is eight times the measure of its complementary angle. What is the measure of each angle? 10. Jika \( g(x)=x+3 \) dan \( (f \circ g)(x)=x^{2}-4 \), maka \( f(x) \) adalah \( \begin{array}{l}\text { A. } \\ \text { B. } x^{2}-1 \\ \text { C. } x^{2}-6 x-5 \\ \text { D. } x^{2}-6 x+5 \\ \text { E. } x^{2}+6 x+5\end{array} \) Which equation illustrates the identity property of multiplication? \( \begin{array}{l}(x+y i) \times z=(x z+y z i) \\ (x+y i) \times 0=0 \\ (x+y i) \times(z+w i)=(z+w i) \times(x+y i) \\ (x+y i) \times 1=(x+y i)\end{array} \) An angle measures \( 82^{\circ} \) more than the measure of its supplementary angle. What is the measure of each angle? \[ \square^{\circ} \text { and } \square^{\circ} \] 11. Эгерде \( \left(7^{x}+7^{x}\right)^{3}=56 \) болсо, анда \( x= \) ? А) 1 Б) \( \frac{2}{3} \) В) \( \frac{1}{3} \) Г) \( \frac{1}{6} \) Д) \( \frac{1}{9} \) Which expression is equivalent to \( 16 s^{\frac{1}{2}} \) ? \( 8 \sqrt{s} \frac{4}{s} \frac{4}{\sqrt{s}} \) Which expression is equivalent to \( \sqrt{3} \) ? \( 3^{\frac{1}{2}} 3^{\frac{1}{3}} \) \( 3^{2} \)
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