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1. Explain what synthetic division is and what it is used for. (include at least 2 different uses for synthetic division) Give an example of synthetic division, show all steps. Explain what your answer means.
2. Pick a cubic function. (use something not too simple. a good example: y = 2(x+1)^3 - 5) Starting with y = x^3, use vertical and horizontal translations, as well as, shrinking and stretching to graph your function. (make sure to explain in English what you are doing as well as graphing y = x^3 and your function) Using an algebraic method, find the roots of your function. Describe the symmetry of your function. Explain the concept of symmetry in general. (which functions are symmetric, which are not. how can you tell from the equation?)
3. State and explain (in simple english) what Remainder and Factor Theorems mean.
A company has a total cost of $50.00 per unit at a volume of 100,000 units. The variable cost per unit is $20.00. What would the price be if the company expected a volume of 120,000 units and used a markup of 50%?
What are like terms? Explain how the distributive property is used to combine like terms. Please use a problem from pages 458 - 459 #'s 41 - 62 as your example for this question.
Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph. Show your wok and state if the equation of the line is asymptotic to the g..
Polynomial long division and multiplication-Use polynomial long division to divide
Social networks, email and cyberchat have added to the lexicon of English through "coining," blends, clips and replacement. Does this show the development of a pidgin or simply fashionable slang?
Find the expression.
Find the coefficients of the objective function
A health club asked the dietitian to prepare 600 ounces of a nutritional drink containing 5.5 grams of carbohydrates per ounces. The dietitian has a nutritional drink containing 5.0 grams per ounces & one that contains 5.8 grams of carbohydrate per o..
The number of tickets sold each day for an upcoming performance of Handelâ??s Messiah is given by N(x)=-0.4^2+12x+10, where x is the number of days since the concert was first announced. When will daily ticket sales peak and how many tickets will ..
Suppose a consumer price index of a country is decreasing at the rate of 4.3% per year. Use the approximate half life formula to estimate its half life.
Solving the equations
Problems on time and distance.
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