In order to shift the function 4 units back you simply need to subtract 4 from the function so:
(x^2-3x-2) - (4)= x^2-3x-6=g(x)
Answer:
See below in bold.
Step-by-step explanation:
cos 4x = 2cos^2 2x - 1 = 2 (2 cos^2 x - 1)^2 - 1
and cos 2x = 2 cos^2 x - 1 so we have:
2 ( 2 cos^2 x - 1)^2 - 1 - (2cos^2 x - 1) = 0
2 ( 2 cos^2 x - 1)^2 - 2 cos^2 x = 0
(2 cos^2 x - 1)^2 - cos^2 x = 0
Let c = cos^2 x, then:
(2c - 1)^2 - c = 0
4c^2 - 4c + 1 - c = 0
4c^2 - 5c + 1 = 0
c = 0.25, 1
cos^2 x = 0.25 gives cos x = +/- 0.5
and cos^2 x = 1 gives cos x = +/- 1.
So for x = +/- 1 , x = 0, π.
For cos x = +/- 0.5, x = π/3, 2π/3, 4π3,5π/3.
Answer:
42.29
Step-by-step explanation:
First, multiply 1/4 (or 0.25) by the area of the pizza:
56.52 x 0.25 = 14.13
Then subtract that value from the whole area:
56.52 - 14.13 = 42.29
42.29 is your answer
Hope this helps!
Answer:
Answer for each below
Step-by-step explanation:
A- 80km per mile= Divided 240 by 3
B- 7 books = divided 35 by 5
c- 100 liters per min= divided 500 by 5