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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.
compare and contrast permutations and distinguishable permutations. provide a formula for each. state the fundamental
Find the smallest x-intercept for the function.
solve the following by factoring x26x80.solve the following by using the quadratic equation 5w2-30present your final
If the cost of a cell phone has decreased 400% during the past 10 years, does that correspond to a cost decrease of four times? Explain your answer as though you were talking to someone who has never taken algebra.
Solve the following equations
What is the difference between an equation and an expression? How does knowing how to simplify an expression help with solving an equation?
State the domain of the following.
Checking the equivalence
Solve the equation by graphing.
If one score is randomly selected from a normal distribution with µ=100 and o=20, the probability of obtaining a score less than x=70 is 0.0013.
Group and normalize.
What is the width of a rectangle with a perimeter of 300 feet and a length of x feet? Write the equation in the slope-intercept form: 2x + 3y = 90.
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