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Home Question Bank Math Algebra Archive 2024 November 20

Algebra Questions from Nov 20,2024

Browse the Algebra Q&A Archive for Nov 20,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\( 16 x^{2}-25 \) A. \( (4 x+5)(4 x-5) \) B. \( (8 x+5)(2 x-5) \) c. \( (8 x-5)(2 x-5) \) D. \( (4 x-5)(4 x-5) \) A seagull drops a sea urchin onto the rocks below from a height of 80 m . The function \( h(t)=-5 t^{2}+80 \) models the height of the urchin, in metres, and \( t \) is the time in seconds. When will the sea urchin hit the rocks? \( x^{2}+10 x+25=7 \) \( \square \) A. -5 \( \square \) B. \( \sqrt{7}+5 \) \( \square \) C. \( \sqrt{7} \cdot 5 \) \( \square \) D. \( \sqrt{7} \) \( \square \) E. 5 \( \square \) F. \( \cdot \sqrt{7} \cdot 5 \) Question 5 (6 points) 3. Let \( P(x)=-0.3 x^{2}+60 x-500 \) be a profit function for a cable television company. It estimates \( x \) as the number of subscribers in thousands and the profit is measured in thousands of dollars. (Use algebra to solve all the problems. To receive credit, all work must be shown) \[ \begin{array}{l}\text { a. A break-even point is where profit is zero. Use algebra to find the break-even points. Give } \\ \text { an interpretation of what this means for the cable company. (6 points) }\end{array} \] c) \( x^{2}-2=0 \) \( 2 x^{2}+6 x-10=x^{2}+6 \) \( \square \) A. \( \frac{1}{3} \) \( \square \) B. -2 \( \square \) C. \( -\frac{1}{2} \) \( \square \) D. -8 \( \square \) E. 8 \( \square \) F. 2 inga \( q^{10} \) en la expansión binomial de \( \left(\frac{1}{3} p+q^{2}\right)^{12} \) b) \( x^{2}-5 x=0 \) \( 3 x^{2}-x-2=0 \) \( \square \) A. 1 \( \square \) B. \( \frac{3}{2} \) \( \square \) C. \( \frac{5}{4} \) \( \square \) D. \( \cdot \frac{2}{3} \) \( \square \) E. -1 \( \leftarrow \) PREVIous 3.9.2 Test (CST): Quadratic Functions Which of the binomials below is a factor of this trinomial? \( -2 x^{2}-16 x+40 \)
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