8. Complete the square for the following quadratic functions.(a) r² + 6x-2(b) 27² 8x + 7(c) 3x² + 6x - 5(d) -z² + 4x-1

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Answered: 8. Complete the square for the…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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The table gives methane gas emissions in millions of metric tons. The quadratic model y = 0.0429x² - 9.73x + 706 approximates the emissions for these years. In the model, x represents the number of years since 2008, so x = 0 represents 2008, x = 1 represents 2009, and so on. Complete parts a and b. Year 2008 2009 2010 2011 2012 Millions of Metric Tons of Methane 706.0 696.3 686.7 677.2 667.8 a. According to the model, what would emissions be in 2014? According to the model, in 2014 the emissions would be 649.2 million metric tons. (Round to the nearest tenth as needed.) b. Find the nearest year beyond 2008 for which this model predicts that emissions will reach 500 million metric tons. The nearest year beyond 2008 for which the model predicts that the emissions will reach 500 million metric tons is (Round down to the nearest year.)
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please help with these two questions! thank you
Consider the quadratic function q(x) = x 2 + 6x − 16. Respond to the following (in any order): (a) Show how to locate the coordinates of the vertex. (b) Write an equation for the axis of symmetry. (c) Determine the x-intercepts and the y-intercept exactly. (d) Sketch a graph of the function showing the vertex, axis of symmetry, x-intercepts, and y-intercept. (e) Write an equation for the function, p, that results from shifting the graph of the function q to the left 4 units and up 3 units. (f) Graph the function p on the same axes as the function q.
How do I do these?
The length of a rectangular garden is three times the width of the garden. The area of the garden is given by the quadratic function A=3w2A=3w2 where w is the width of the garden measured in feet. If the area of the garden is 75 square feet, what is the width of the garden? Show all work to receive credit.

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8. Complete the square for the following quadratic functions. (a) x² + 6x-2 (b) 2x² - 8x + 7 (c) 3x² + 6x-5 (d) -1² +41-1