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Home Question Bank Math Algebra Archive 2024 November 11

Algebra Questions from Nov 11,2024

Browse the Algebra Q&A Archive for Nov 11,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Solve the equation. Write the solution set with the exact solutions. \[ 8 \log _{2}(7 p-5)-4=28 \] If there is more than one solution, separate the answers with commas. There is no solution, \( \} \). Which expression can be used to describe the pattern? \[ 7,8,9,10 \ldots \] A. \( x+7 \), where \( x=0,1,2,3 \ldots \) B. \( 2 x+3 \), where \( x=0,1,2,3 \ldots \) C. \( 6 x \), where \( x=0,1,2,3 \ldots \) D. \( 5+x \), where \( x=0,1,2,3 \ldots \) Factor out the GCF of the three terms, then complete the factorization of \( x^{4}+8 x^{3}+15 x^{2} \). \( x^{2}(x+6)(x+2) \) \( x^{3}(x+8)+15 x^{2} \) \( x^{2}(x+3)(x+5) \) \( x^{2}\left(x^{2}+8 x+15\right) \) Question 3 Which expression can be used to describe the pattern? \[ 7,8,9,10 \ldots \] A. \( x+7 \), where \( x=0,1,2,3 \ldots \) B. \( 2 x+3 \), where \( x=0,1,2,3 \ldots \) C. \( 6 x \), where \( x=0,1,2,3 \ldots \) D. \( 5+x \), where \( x=0,1,2,3 \ldots \) Sean \( f: x \mapsto f(x)=x^{2}-3 \cdot g: x \rightarrow g(x)=2 x+8 y h: \) \( x \rightarrow h(x)=4 x^{3}+3 \). Determina. a. \( (f+g)(3) \) b. \( g+h \) c. \( f-g \) fectúe: \( \quad(2 \sqrt{3}+1)(2 \sqrt{3}-1) \) Factor \( x^{2}+7 x-30 \) )) Graph this line using the slope and \( y \)-intercept: \( y=\frac{1}{2} x+7 \) ()) Click to select points on the graph. Evaluate the function at the given values. \( f(r)=\sqrt{r+7}+10 \) a. \( f(-7) \) b. \( f(9) \) a. \( f(-7)=\square \) Identify the slope of a line that runs through the point \( (4,2) \) and has a \( y \)-intercept of 4
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