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Home Question Bank Math Algebra Archive 2024 December 15

Algebra Questions from Dec 15,2024

Browse the Algebra Q&A Archive for Dec 15,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Resuelve. \( 5 a^{2} b+8 a b-3 a^{3}-\left(3 a^{2} b-7 a b+5 a^{3}\right) \) 3. \( 6 z+3<21 \) b) \( x^{2}+4=20 \) Question 24 ( 5 marks) An arithmetic and geometric sequence both have first term 1 , and their second terms are equal. The \( 14^{\text {th }} \) term of the arithmetic sequence is three times the third term of the geometric sequence. Given that both sequences contain only integers, find the \( 20^{\text {th }} \) term of each sequence. 9. Resolver las siguientes ecuacione a) \( x: 3+5=2 \) - Simplify. Assume that all \[ \sqrt{45 a^{8} b^{17}} \] 4) Max is thinking of a number, which he calls \( n \). He adds 8 and then doubles the sum. a) Write an expression to represent Max's number. Find the quantity if \( \mathbf{v}=3 \mathbf{i}-7 \mathbf{j} \) and \( \mathbf{w}=-2 \mathbf{i}+2 \mathbf{j} \). \[ 2 \mathbf{v}+3 \mathbf{w} \] \( \begin{array}{l}2 \mathbf{v}+3 \mathbf{w}= \\ \text { (Simplify your answer. Type your answer in the form } \mathbf{a i}+\mathrm{bj} . \text {.) }\end{array} \). Write a linear cost function for the situation. Identify all variables used. A parking garage charges 8 dollars plus 85 cents per half-hour. Identify all variables used. Choose the correct answer below. A. C \( (x) \) represents the number of half-hours the parking garage was used after paying \( x \) dollars. B. \( C(x) \) represents the cost for parking \( x \) cars in the parking garage. C. C(x) represents the cost for using the parking garage for \( x \) half-hours. D. C(x) represents the number of hours the parking garage was used after paying \( x \) dollars. Find the lowest common multiple of \( 2 x+8 \) and \( 2 x-8 \).
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