Verify the identity.sin 
= 
(sin ? - cos ?)
What will be an ideal response?
sin 
= sin ? cos 
- sin 
cos ? = 
(sin ? - cos ?).
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Simplify the algebraic expression by combining similar terms.3.8x - 7.2y - 6.5x + 14.1y
A. -2.7x + 6.5y B. -2.7x + 7.2y C. -2.8x + 6.9y D. -2.9x + 6.9y E. -2.7x + 6.9y
Solve the systems of equations using the addition method.
A. (6, -2) B. (-7, -2) C. (-6, -3) D. No solution
Solve the problem.In the town of Milton Lake, the percentage of women who smoke is increasing while the percentage of men who smoke is decreasing.Let x represent the number of years since 1990 and y represent the percentage of women in Milton Lake who smoke. The graph of y against x includes the data points (0, 16.6) and (13, 19.98). Let x represent the number of years since 1990 and y represent the percentage of men in Milton Lake who smoke. The graph of y against x includes the data points (0, 28.8) and (14, 25.86). Determine when the percentage of women who smoke will be the same as the percentage of men who smoke. Round to the nearest year. What percentage of women and what percentage of men (to the nearest whole percent) will smoke at that time?[Hint: first find the slope-intercept
equation of the line that models the percentage, y, of women who smoke x years after 1990 and the slope-intercept equation of the line that models the percentage, y, of men who smoke x years after 1990] A. 2018; 23% B. 2020; 23% C. 2014; 24% D. 2016; 23%
Solve the problem.Let the demand and supply functions be represented by D(p) and S(p), where p is the price in dollars. Find the equilibrium price and equilibrium quantity for the given functions.D(p) = 2288 - 40pS(p) = 220p - 572
A. $13; 1768 B. $13; 1848 C. $15; 1688 D. $11; 1848