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Directions: find (f-g) (x) using the two functions given in each number.



1. F(x) = 3x+3


g(x) = -4x+1



2. F(x) = 2x+5


g(x) = 4x² +2x-2



3.f(x)=5x+1


g(x) =3x-2



4.f(x) -15 x² -2x+5


g(x) = 3x2+x-7



5.f(x) = 3x² - 2x+1


g(x) = 4x² +5x-4


Suppose that 53 of the 55 Information Technology students of University of Northern Philippines are taking atleast one of the mathematics subjects Mathematics in the Modern World, Discrete Mathematics, and Data management. Also suppose that: 24 taking Mathematics in the Modern World, 26 taking Discrete Mathematics, and 20 taking Data Management, 5 taking Mathematics in the Modern World and Discrete Mathematics, 7 taking Mathematics in the Modern World and Data Management, 8 taking Discrete Mathematics and Data Management.

A.   Fill in the correct number of students in each of the eight regions of the Venn Diagram.

B.   Find the number of students who are taking all three mathematics subjects.

C.   Determine the number of students who are not taking any of the three mathematics subjects?

D.   How many students were taking Mathematics in the Modern World as their only mathematics subject?



describe the cycling of water and radioactive substances in the ecosystem


A professor grades student on 4 tests, a term paper, and a final examination. Each test counts as





15% of the course grade. The term paper counts as 20% of the course grade. The final





examination counts as 20% of the course grade. Alan has test scores of 80, 78, 92 and 84. Alan





received an 84 on his term paper. His final examination score was 88. Use the weighted mean





formula to find Alan’s average for the course. Hint: The sum of all weights is 100% = 1.

How much product at 10% wet basis moisture would you obtain from drying 3.5 kg of carot (89% moisture)?


Write this assignment using data classes 

1 Create a class Person a. Initialize a class Person with FirstName, LastName, Age, Address, and Contact Number.


2. Create a class Employee 

a. Employee is a Person so Employee is a child class of Person class. Employee class constructor/__init__ method will contain all the attributes of Person class and Employee class own attributes which are EmployeeID, OrganizationName and Position.


3. Create a class CommissionEmployee

a. CommissionEmployee is a child class of Employee class. It should inherit all the attributes of

Employee class and its own attribute which is commissionRate

b. Create a method called calculateCommission, which should take input of gross sale from the

user and based on the commission rate calculate the totalEarning.

c. Create a method called displayData which should display the FirstName, LastName, Age,

Address, ContactNumber, EmployeeID, OrganizationName, Position, commissionRate and

totalEarning. 



1. A uniform electric field of magnitude E = 435  makes an angle of θ = 65.0 with a plane surface of area A = 3.50  as in the figure below. Find the electric flux through this surface.



Box A and Box B both contain the numbers 1,2,3, and 4. Construct the probability mass function and draw the histogram of the sum when one number from each box is taken at a time, with replacement


An old rope can now only safely suspended 120 kg. When the rope is tied to a beam, it hangs down with a vertical length of 12.0 m. Calculate the minimum time required for an 85kg person starting from rest to climb the entire length of the rope without breaking it


NTJ Distributors Ltd has has an annual demand for an airport metal detector of 1400 units. The cost of a typical detector is $400. Carrying cost is estimated to be 20% of the unit cost and the ordering cost is $25 per order. If Tricia Joseph, the owner, orders in quantities of 300, he can get a 4% discount on the cost of the detectors. Should the company accept the discount?


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