Simplify the expressions by combining like terms. 30) 4x + 3-x =

31) 5jt+x + 2x =

32) 20.x-12+ 15* + 20A;-3+ 6-9-30* =

33) Mrs. Simmons bought 3 pounds of apples. The price is $2.49 per pound. How much did Mrs. Simmons pay for the 3 pounds of apples?​

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  nπ -π/6 . . . for any integer n

Step-by-step explanation:

  tan(x) +√3 = -2tan(x) . . . . . given

  3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3

  tan(x) = -√3/3 . . . . . . . . . . divide by 3

  x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x

This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...

  x = n·π -π/6 . . . . for any integer n