What are the exact solutions?

x = 2* pi* n

Step-by-step explanation:

cos(2x) cos(x) + sin(2x) sin x =1

We know cos(s) cos(t) + sin(s) sin(t) = cos(s - t)

Using s =2x and t = x

cos (2x-x) =1

cos (x) =1

We know this occurs at 0, 2pi, 4 pi etc

x = 2* pi* n  where n is an integer

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6