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Discussion Question 1: How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution? Explain. Provide your classmate's with one or two solutions with which they must create a quadratic equation.
Discussion Question 2: Explain, in your own words, how the principle of square roots is used to solve quadratic equations. What form must a quadratic equation be in to use the principle of square roots for solving? Demonstrate the process with your own example.
There were 5000 jackets manufactured. Customers returened 24. What percent of the jackets were retured?
A steel ball weighing 128 pounds is suspended from a spring. This stretches the spring (128/101) feet.
Based on a random sample of 16 customer transactions, the mean waiting time is 6.3 minutes and the standard deviation is 2 minutes per customer. What is the value of the test statistic we would use to test Ho?
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities? In what case might they not? Provide an example and a reference.
The dimensions of a closed rectangular box are measured as 91 cm, 68 cm, and 46 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
A grain silo has a cylindrical shape. Its diameter is , and its height is . What is the volume of grain that can be stored in the silo?
A sample of 13 brands of caffeinated coffee had a mean caffeine level of 119.6 mg and a standard deviation of 52.5. The population is normally distributed. Compute a 90% interval for the mean caffeine level.
He then traveled 24 km at a speed that was 4 km h slower. If the total time for Tims trip was 8 hr, what was his speed on each part of the trip?
currently, tyrone has $60 and his sister has $135, both ger an allowance os $5 each week. tyrone decide to save his entire allowance, but his sister spends all hers each week plus an additional $10 each week. after how long will they each have the..
Buying a Cottage A group of friends decides to buy a vacation home for $120,000, sharing the cost equally. If they can nd one more person to join them, each persons contribution will drop by $6000. How many people are in the group?
question the perimeter of a triangle is 76cm. side a of triangle is twice as long as side b. side c is 1cm longer than
Explain why an Abelianization fo G is unique up to isomorphism. Construct an Abelianization of G as follows: Let G' be the subgroup fo G generated by all commutators [x,y] = xyz^-1 y^-1, where x, y are real members of G.
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