Graph of the following system:22) 3x – 5y = -95x – 6y = -8 Solve each system by substitution. Determine whether theEquations are independent, dependent, or inconsistent.38) y = -4x – 7y = 3×42) y = x + 43y – 5x = 656) 2x – y = 42x – y = 3Solve each system by the substitution method.70) x + 3y = 2-x + y = 1Section 7.2: Exercise 8, 12, 16, 26, and 36Solve each system by addition.8) x + y = 7x – y = 912) x – 2y = -1-x + 5y = 416) 3x + 5y = -11x – 2y = 11Solve each system by the addition method.
Determine whetherthe equations are independent, dependent, or inconsistent.26) x – y = 3-6x + 6y = 17Solve each system by the addition method.36) 3/7x + 5/9y = 271/9x + 2/7y = 7Section 3.3: Exercise 9494) Marginal revenue. A defense attorney charges her client$4000 plus $120 per hour. The formula R _ 120n _ 4000gives her revenue in dollars for n hours of work. What isher revenue for 100 hours of work? What is her revenuefor 101 hours of work? By how much did the one extrahour of work increase the revenue? (The increase inrevenue is called the marginal revenue for the 101st hour.)Section 3.4: Exercise 80 and 8280) Direct deposit.
The percentage of workers receiving directdeposit of their paychecks went from 32% in 1994 to 60%in 2004 (www.directdeposit.com). Let 1994 be year 0 and2004 be year 10.a) Write the equation of the line through (0, 32) and(10, 60) to model the growth of direct deposit.b) Use the accompanying graph to predict the year inwhich 100% of all workers will receive direct depositof their paychecks.c) Use the equation from part (a) to predict the year inwhich 100% of all workers will receive direct deposit.82) Age at first marriage. The median age at first marriage forfemales increased from 24.5 years in 1995 to 25.1 years in2000 (U.S. Census Bureau, www.census.gov). Let 1995 beyear 5 and 2000 be year 10.a) Find the equation of the line through (5, 24.5) and(10, 25.1).b) What do x and y represent in your equation?c) Interpret the slope of this line.d) In what year will the median age be 30?e) Graph the equation.
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