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1.Can you show that, given two equations y = m1x + c1 and y = m2x + c2 where c1 and c2 are different, there is no solution if m1 = m2. Interpret this result graphically. Also show that if c1 = c2 then there will be at least one solution no matter what m1 and m2 are. Interpret this result on a graph.
2.In your reading you have come across two other methods to solve systems of equations aside from the graphing method. Explain these two methods. Provide examples using a system of linear equations of your choice. State your preference of these two methods.
3.Explain in your own words your understanding of the concept of slope as it relates to graphs of linear equations. Illustrate with examples. Also include in your explanation the use of slopes to determine parallel and perpendicular lines.
Pacific Homecare has three bond issues outstanding. All three bonds pay $100 in annual interest plus $1,000 at maturity. Bond S has a maturity of five years, Bond M has a 15-year maturity, and Bond L matures in 30 years.
Is there an equation that would illustrate the price of gas under the new law? Is there an equation that is parallel to the equation that would illustrate the price of gas under the new law?
An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two workers to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task.
What is ∫3x2dx and which is equal to ∫5x4dx and also Differentiate y = (1 - 4x + 7x5)30
Use the technique as specified in this lecture under the section Completing the Square to Determine the solutions (roots) of the equation. Verify each root by plugging the root back into the equation and performing the computation
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)
Two vertical lines are supposed to go on both sides of y. Please graph and state domain and range.Incorporate these math vocabulary words in the applicable steps: function, relation, vertical test line, transformation.
use the factor theorem to determine whether x - c is a factor of f. if it is write f in factored form that is write f
One day a store sold 29 sweatshirts. White ones cost $9.95 and yellow ones cost $12.50. In all, $319.15 worth of sweatshirts were sold. How many of each color were sold?
Find the vertex of the function
Solve the given equation using absolute value function.
Finding and making the truth value.
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