Sin (3x+19)=Cos(5x-25)
What is the value of x?
A) 6
B) 12
C) 18
D) 24

B

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x)

Given

sin(3x + 19) = cos(5x - 25), then

3x + 19 = 90 - (5x - 25)

3x + 19 = 90 - 5x + 25

3x + 19 = 115 - 5x ( add 5x to both sides )

8x + 19 = 115 ( subtract 19 from both sides )

8x = 96 ( divide both sides by 8 )

x = 12 → B

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,