If g(x) = f(- z) and f(x) = 3r + 12a 7, the formula for g can be found as follows.%3Dg(x) = f(- 2)g(x) = 3(-a) + 12(-)-7g(z) = 3z? – 12x - 7%3Da. Using the example shown, determine the formula for n if n(a) = p(- x) and p(x) = 6x – 21.%3DPreviewb. Using the example shown, determine the formula for r if r(a) = d( - x) and d(r) = – 10x?24x + 25.5.%3D|Preview

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Answered: If g(x) = f(- z) and f(x) = 3r + 12a 7,…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section: Chapter Questions

Problem 31PT: For the following exercises, consider this scenario: The population of a city increased steadily...

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The number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use the model to approximate how many years it will take for the beaver population to reach 78.
The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?
A pizzeria charges 9 for a medium plain cheese pizza plus 1.50 for each extra topping. a Find a formula that models the cost C of a medium pizza with x toppings. b Use your model from part a to find the cost of a medium pizza with the following extra toppings: anchovies, ham, sausage, and pineapple.
The formula for an increasing population is given by p(t)=P0ert where P0 is the initial population and r0. Derive a general formula for the time t it takes for the population to increase by a factor of M .
An epidemiological study of the spread of a certain influenza strain that hit a small school population found that the total number of students, P, who contracted the flu t days after it broke out is given by the model P=t2+13t+130,where1t6. Find the day that 160 students had the flu. Recall that the restriction on t is at most 6.
For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. Thefollowing ordered pairs shows the population (in hundreds) and the year overthe ten-year span, (population, year) forspecific recorded years: (4,500,2000);(4,700,2001);(5,200,2003);(5,800,2006) Predict when the population will hit 20,000.
For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. Thefollowing ordered pairs shows the population (in hundreds) and the year overthe ten-year span, (population, year) forspecific recorded years: (4,500,2000);(4,700,2001);(5,200,2003);(5,800,2006) What is the correlation coefficient for this model?
For the following exercises, consider this scenario: The number of people afflicted with the common cold in the winter months steadily decreased by 205 each year from 2005 until 2010. In 2005, 12,025 people were afflicted. When will the output reach 0?
For the following exercises, consider this scenario: The population of a city increased steadily over a ten-year span. Thefollowing ordered pairs shows the population (in hundreds) and the year over the ten-year span, (population, year) forspecific recorded years: (4,500,2000);(4,700,2001);(5,200,2003);(5,800,2006) Use linear regression to determine a function y, where the year depends on the population. Round to threedecimal places of accuracy.
For a cooking oil company, the price they are paid for coconuts in large shipments is based on the amount of coconut extract from the load. Therefore, there is a need to determine the amount of coconut extract in the whole load prior to extraction. A sample of n coconut can be taken and find y1, . . . , yn , the amount of coconut extract in these coconuts. Ny is hard to get in this case because N is hard to count. How can the total amount of coconut extract from a load shipment be measured? Using the total weight would be a good idea and easy to obtain. The relationship between the weight of the load and the weight of the coconut extract one obtains can be used. As it turns out, 15 coconuts selected by simple random sampling were weighed and also extracted. The total weight of the coconut shipment was found to be 900 kg. Given these results (below): look at the pic(table) Perform correlation analysis. How strong is the linear relationship between Y and X?
For a cooking oil company, the price they are paid for coconuts in large shipments is based on the amount of coconut extract from the load. Therefore, there is a need to determine the amount of coconut extract in the whole load prior to extraction. A sample of n coconut can be taken and find y1, . . . , yn , the amount of coconut extract in these coconuts. Ny is hard to get in this case because N is hard to count. How can the total amount of coconut extract from a load shipment be measured? Using the total weight would be a good idea and easy to obtain. The relationship between the weight of the load and the weight of the coconut extract one obtains can be used. As it turns out, 15 coconuts selected by simple random sampling were weighed and also extracted. The total weight of the coconut shipment was found to be 900 kg. Given these results (below): look at the table (pic) Question: For this data, which is the more accurate estimate, the ratio estimator or the ordinary SRS…
For a cooking oil company, the price they are paid for coconuts in large shipments is based on the amount of coconut extract from the load. Therefore, there is a need to determine the amount of coconut extract in the whole load prior to extraction. A sample of n coconut can be taken and find y1, . . . , yn , the amount of coconut extract in these coconuts. Ny is hard to get in this case because N is hard to count. How can the total amount of coconut extract from a load shipment be measured? Using the total weight would be a good idea and easy to obtain. The relationship between the weight of the load and the weight of the coconut extract one obtains can be used. As it turns out, 15 coconuts selected by simple random sampling were weighed and also extracted. The total weight of the coconut shipment was found to be 900 kg. Given these results (below): look at the table (pic) Question: Use a ratio estimator to estimate the total weight of the coconut extract for this shipment of…

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