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Use the function f(x) = 5x2 + 2x - 3 to answer the questions.
Part A: Completely factor f(x).
Part B: What are the x-intercepts of the graph of f(x)? Show your work.
Part C: Describe the end behavior of the graph of f(x). Explain.
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.
Where does the graph of f intersect the tangent line found in part (b)?
What percentage of those residents using the maid service are retired?
Using the fir1 function in MATLAB, design a 41-tap lowpass filter with a normalized cut-off frequency of ?n = 0.55 using Blackman.
Let G be the group of symmetries of a cube, including the orientation-reversing symmetries. Describe the elements of G geometrically.
How many ways can five books be arranged in a shelve and How many three digit even numbers can be made from {2,3,4}
Business spending on technology in a study conducted in 2003, business spending on technology (in billions of dollars) from the beginning of 2000 through 2005.
Using equations (4) and (5) above and Parseval's Theorem, show that the energy in the string considered above is finite provided that 1 and g are finite energy.
Every US coin is stamped with the year in which it was minted. How many coins do you need to have in your pocket to be assured that at least two.
After each student designed a logo, the dub members voted on their favorite. The two designs that got the greatest number of votes are shown below. Determine the areas and perimeters of both designs. Explain your reasoning.
The sign "I LOVE MATHEMATICS" is put on the wall of the mathematics building at South Central Carolina Technical College.
If the sample was representative, find the number of bulbs expected to be defective in a case of 450.
A cup of coffee contains 100 mg of caffeine, which leaves the body at a continuous rate of 17% per hour.
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