Let f(theta)=2sin(theta)-1 and let g(theta)=1/2cos(theta)+3/2.

a) what is the midline and amplitude of f?

b) what is the midline and amplitude of g?

c) sketch the graphs of both f and g on the same plot

Evaluate the expression for the given value of the variable 7a - 4a for a =8

When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?