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LINEAR ALGEBRA
Linear Algebra
Linear Algebra
Answer 1)
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9y' to each side of the equation.
5x + -9y + 9y = 0 + 9y
Combine like terms: -9y + 9y = 0
5x + 0 = 0 + ...

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ALGEBRA
Algebra
Algebra
Solution to Problem 1:
The student did not bring 5 over the other side.
x^2 + 4x - 5 = 0
The student did not factored in place of using the quadratic formula in order to get;
(x + 5) (x - 1) = 0
with x = 1 and x = -5 as ...

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INTERMEDIATE ALGEBRA ASSIGNMENT
Intermediate Algebra Assignment
[Name of the Institute]Intermediate Algebra Assignment
Algebraic Solution
Question 56)
Solution
When y = -3
2(-3-4) = 3(x+2)
-6-8 = 3x + 6
-14 = 3x + 6
3x = -20
X= -20/3 or -6.66
Question 10)
Solution
Solving for x:
-3(x + 3) = -4(y -1)
-3x + 9 = -4y + 4
-3x = -4y -5
X = ...

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Math SLP and Discussion: Exponential & Logarithmic Functions
Exponential & Logarithmic Functions
Continuous Compounding
Continuous compounding is extreme version of compounding. Under this process, the interest earned over the deposit or capital starts earning interest after regular intervals. In simple words, as the interest is earned, it becomes a part of the ...

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Math SLP and Discussion
Math SLP and Discussion
Set theory is one of the widely used concepts in day to day business dealings. Due to its wide used, it has attained a crucial importance in business mathematics. It allows categorizing different elements or members in one set in a manner that ...

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LogarithmiC ModeliNg
Logarithmic Modeling
In the empirical analyses below we also applied the variable HUMRES which stands for expenditures in education, training and R&D called human resources in the categorization of the EC. According to the theoretical framework outlined in the previous chapter, technological change depends to a large extent on local/regional ...

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SIMPLIFYING EXPRESSIONS
Simplifying Expressions
Simplifying Expressions
Basic properties relating to real numbers include Commutative property, Associative property, and Distributive property. In all three simplifications, we used all these properties. The distributive property implies that a real number outside the parenthesis should be multiplied by each number or expression within parenthesis. Commutative ...

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CONTROL SYSTEMS
Control Systems
[Name of the Author]
[Name of the Institutions]
Control Systems
Introduction
Fuzzy logic is a mathematical system that analyzes analog input values in terms of fuzzy variables that takes continuous values between 0 and 1, in contrast to classical or digital logic, which operates on discrete values of either 0 or 1.Fuzzy ...

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Introduction to Algebra
Introduction to Algebra
Problem 98. 3h²t+6ht+3t
Solution
Taking “3t” as the common factor
= 3t (h2+2h+1)
= 3t [h2 + h + h +1]…… (Factoring the polynomial)
= 3t (h+1) (h+1).
Problem 102. -3+2y+21y²
Solution
= 21y²+2y-3
=21y2+9y-7y-3…. (Breaking the middle term)
=3y (7y+3) - 1(7y+3)…. (Factoring)
= (3y - 1) (7y+3).
Problem 64. 3x²-17x+10
Solution
=3x²-15x-2x+10
=3x (x-5) - 2 ...

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LogarithmiC ModeliNg
Logarithmic Modeling
The logarithmic equation that models the data is found out that is
Y1 = 7411.9ln(x) + 13698
R² = 0.7633
Based on this model, the graph has been constituted that is given below;
By utilizing the data model, I have identified the value 4 years after the starting year utilizing Y1, ...