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Home Question Bank Math Pre Algebra Archive 2025 January 12

Pre-algebra Questions from Jan 12,2025

Browse the Pre-algebra Q&A Archive for Jan 12,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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7. \( 3+5^{2}-(12+3)= \) QUESTION 3 The equation of a hyperbola is given by \( f(x)=\frac{3}{x-9}-4 \). Write down the equation of the new function that is formed when \( f \) is uranslormed as follows: \( \begin{array}{ll}3.1 & \text { Shift two units to the left } \\ 3.2 & \text { Shift } 3 \text { units up } \\ 3.3 & \text { Shift } 1 \text { unit right and } 2 \text { units down }\end{array} \) Evaluate: \( \frac{138-3\left(1^{2}-5\right)}{20 \div 2 \cdot 5} \) For problems 11-12, tell whether the two rates form a proportion. Circle Yes or No. Provide evidence for your answer. \( \begin{array}{ll}\text { 11. } 25 \text { cars in } 5 \text { days; } 60 \text { cars in } 12 \text { days } & \text { 12. } 14 \text { books in } 2 \text { boxes; } 20 \text { books in } 3 \text { boxes } \\ \text { YES or NO } & \text { YES or NO }\end{array} \) Solve the proportion equation. \( \frac{5 \mathrm{ft} 6 \mathrm{in} \text {. }}{6 \mathrm{ft} 3 \mathrm{in} \text {. }}=\frac{\mathrm{L}}{12 \mathrm{ft} 6 \mathrm{in} \text {. }} \) \( \begin{array}{l}\mathrm{L}=\square \mathrm{ft} \\ \text { (Type a whole number or a decimal.) }\end{array} \) omework: HW 3 - Proportions Question 7, 4.1.B-11 tion list estion 2 lestion 3 lestion 4 uestion 5 Solve the proportion equation. \[ \frac{110}{22}=\frac{20}{x} \] \[ x=1 \] \( \square \) (Type a whole number or a decimal.) The general term of a certain number sequence is \( T_{n}=a n^{2}+b n+c \). 4.1 Write down (In terms of \( a, b \) and \( c \) ) the first four terms of the sequence. (No working is required). Answef: \( 4.2 \quad \) Then, write down (in terms of \( a \) and \( b \) ) the first three terms of the first differences of the sequence. (No working is required) Answer: Give the first four terms of the given sequence. \( a_{n}=\frac{3^{n+1}}{2 n!}, n=1,2,3, \ldots \) \( a_{1}=\square \) (Type an integer or a simplified fraction.) 2. Represent and Connect How can you use different representations of a relation to determine whether the relation is a function? Question 3 Given that \( T_{n+2}=T_{n+1}+T_{n} \) is the general term for each of the following number sequences, determine (in each question) the value of each stated letter. (No working is required). If the sequence is \( 3 ; 4 ; p ; e ; \ldots \ldots \) Then, \( p=\quad \) and \( e= \) 3.1 If the sequence is \( f ; 17 ; q ; 39 ; \ldots \ldots \) Then, \( q=\quad \) and \( f= \)
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