Simplify. Write your answer in the form a + bi, where a and b are real numbers.Let z = -5 + 5i and w = 5 + 2i. Find 2z + w.

A. -5 + 12i
B. -10 + 12i
C. -15 + 20i
D. -5 + 7i


Answer: A

Mathematics

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Evaluate the double integral over the given region. R = {(x, y): 5 ? x ? 6, 5 ? y ? 7}

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Solve the problem.By switching service providers, a family's telephone bill decreased from about $50 a month to about $45. What was the percent of decrease?

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Divide and simplify.

A. 15x7 + 
B. -3 - 10x5
C. -3 + 
D. -3 + 2x2

Mathematics

Solve the problem.The table below lists women's and men's total enrollments at all institutions of higher learning in Country X for various years. College Enrollments (Millions)YearWomenMen19886.35.919907.46.519948.16.820028.97.120069.27.4The enrollments (in millions) of women and men, respectively, can be modeled by the systemW = 0.14t + 5.69M = 0.07t + 5.62where t is the number of years since 1980.(i) Use substitution or elimination to estimate when women's and men's enrollments were approximately equal. What was that enrollment?(ii) Use the models to predict the total enrollment of women and men in 2018.

A. (i) In about 1979, women's and men's enrollment was about 5.6 million students. (ii) In 2018, W = 11.01 million students and M = 8.28 million students. B. (i) In about 1979, women's and men's enrollment was about 6.3 million students. (ii) In 2018, W = 11.15 million students and M = 8.35 million students. C. (i) The system cannot be solved. (ii) In 2018, W = 10.73 million students and M = 8.14 million students. D. (i) In about 1977, women's and men's enrollment was about 5.9 million students. (ii) In 2018, W = 10.87 million students and M = 8.21 million students.

Mathematics