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Question: Find the value of the polynomial x2 + 6x + 5 when x = -2. Make sure to show all of the steps which are required to solve for the final answer.
Quadratic equation problems.
How would you check polynomial division? Explain your answer. Explain, in your own words, the product rule of exponents. Why does it work? Give examples.
Find maximum revenue.
Applications of combination
Use the quadratic formula to solve the following equation. Simplify the answer and type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.
Jack and Jill went up the hill and found that their grandmother had died. She left them in her will only one possession: an antique water pail.
The order of a simple group.
Your bridge design has two towers, each with height (h) of 300 ft above the road. Two suspension cables connect the two towers. The equation modeling the shape of these cables is parabolic.
Why are there usually two solutions in quadratic equations? Under what situation would one or more solutions of a rational equation be unacceptable?
Isolating the natural logarithm
FIND and PROVE a formula for the inverse hyperbolic tangent, arctanh(x). The formula should involve a natural logarithm. Also, check the answer by substituting the definition of tanh x into your inverse formula and simplify. Show all work please.
An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two workers to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task.
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