solve the questions, math homework help

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Mathematics

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Assignment Please remember to show all work on every problem. 1) Solve the equation below. Show all work following the methods discussed in class; if an equation includes fractions, clear the fractions in the first step. If the equation has a unique solution, please show the complete check of your answer. 5  x  7   3 7  4 x  2) Solve the equation below. Show all work following the methods discussed in class; if an equation includes fractions, clear the fractions in the first step. If the equation has a unique solution, please show the complete check of your answer. 3 x  4 10  4  2 x 1  5x  3 3) Solve the equation below. Show all work following the methods discussed in class; if an equation includes fractions, clear the fractions in the first step. If the equation has a unique solution, please show the complete check of your answer. 5 x  11  5 x  4 4 12 6 3 4) Solve the inequality below. Show all work following the methods discussed in class; if an inequality includes fractions, clear the fractions in the first step. Write your answer in interval notation and graph the solution set on a number line. 5x 14  11x  2 5) Solve the inequality below. Show all work following the methods discussed in class; if an inequality includes fractions, clear the fractions in the first step. Write your answer in interval notation and graph the solution set on a number line. 11  4  5x  5 6) Antony wins $900,000 (after taxes) in the lottery and decides to invest half of it in a 5-year CD that pays 6.72% interest compounded quarterly. He invests the other half in a money market fund that unfortunately turns out to average only 2.4% interest compounded annually over the 5-year period. How much money will he have altogether in the two accounts at the end of the 5-year period? 7) The average annual tuition and fees at public 4-year institutions in the US in 2005 was $13,847 and in 2010 was $16,384. Let y be the average tuition and fees in the year x, where x = 0 represents the year 2005. a) Write a linear equation that models the growth in average tuition and fees at public 4year institutions in the US in terms of the year x. b) Use this equation to predict the average tuition and fees at public 4-year institutions in the US in the year 2020. c) Explain what the slope of this line means in the context of the problem. 8) Given the equation 3x  5 y  15 : a) Rewrite the equation in slope-intercept form. b) Write an equation in point-slope form of the line through the point (-8, 5) perpendicular to the line with the equation given above. c) Convert the equation found in part (b) to slope-intercept form. d) Convert the equation found in part (c) to standard form, Ax + By = C, where A, B, and C are integers. e) Graph both lines on one coordinate system. You may use the grid below or create your own. 8 7 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 y x 1 2 3 4 5 6 7 8 9) Show all work as you perform the indicated operations and simplify the result:  6x3 y2  7x y  2 8 11 10) Show all work as you perform the indicated operations and simplify the result. Write the answer with positive exponents only. 54 x7 y 12 72 xy3 11) Show all work as you perform the indicated operations and simplify the result: 12x  3x 3 2  7x    3x 2  2 x 19   8 x  2 x 3  2 11 12) Show all work as you multiply the polynomials and simplify the result:  7 x  4 9 x2  2 x  7 
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Assignment
Please remember to show all work on every problem.
1) Solve the equation below. Show all work following the methods discussed in class; if
an equation includes fractions, clear the fractions in the first step. If the equation has a
unique solution, please show the complete check of your answer.

5( x − 7) =
−3( 7 − 4 x )

2) Solve the equation below. Show all work following the methods discussed in class; if
an equation includes fractions, clear the fractions in the first step. If the equation has a
unique solution, please show the complete check of your answer.

= 4 ( 2 x −1) − (5x − 3)
3( x − 4) +10

3) Solve the equation below. Show...


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