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1. Why is it true that any two points satisfying a linear equation will give you the same graph for the line represented by the equation?
2. How do you interpret the slope and y intercept in a real world case?
3. By looking at two linear equations, how can you tell that the corresponding lines are parallel?
4. By looking at two linear equations, how can you tell that the corresponding lines are perpendicular?
5. When graphing a linear inequality, how do you know if the inequality represents the area above the line?
6. What are the necessary and sufficient conditions for inequalities to represent an area in the first quadrant?
7. In which quadrant will the area be if x > 0 and y < 0? Can the area be shifted to a different quadrant simply by using additional inequalities? Why?
8. When solving a linear inequality, why do you always solve for y?
Solve the algebraic expression from subtracting rule.
One of the often misunderstood concept in math is divisibility. Divisibility is different from the operation division. The Solution describes 7 key properties of divisibility and proves them mathematically as why they are true.
the quadratic equations
To solve the quartic equation, one of the approaches is to seek squares on both sides. For example, to find x, in ax^4+bx^2+cx=d.
A six-digit integer is formed by placing two 3-digit integers side by side. If the larger of the two integers is placed ahead of the smaller integer, the number formed is six times greater than if the smaller integer is placed ahead of the larger ..
Equation in single variable
Provide an example of a binomial random variable as it applies to something in your personal or professional life. Specifically, provide a "real world" example of a random variable that would satisfy the characteristics of the binomial.
Consider the function f(x, y) = 4√(x2 + y2). Find the gradient vector of the function at the point (1, 1). Find the equation of the tangent plane at the point (1, 1)
Find f'(x) using the definition of the derivative and find f'(x) using the rules of derivatives.
Solve the system of linear equations, using the Gauss-Jordan elimination method. Management Decisions. The Management of Hartman Rent-A-Car has allocated $1,008,000 to purchase 60 new automobiles to add to their existing fleet of rental cars.
the 6th grade class has 12 boys and 20 girls. the teacher wants to divide them into groups that have the same number of
a cell phone company charges 40 per month plus 2 for each minute of time used out of the service area. write the
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