Answer:
(1/8)(cos(4x) -4cos(2x) +3)
Step-by-step explanation:
Your answer is correct as far as it goes. You now need to use a power-reducing identity on the cos(2x)² term in your answer. The appropriate one is ...
cos(x)² = (1/2)(1 +cos(2x))
In the context of this problem, using this formula gives you ...
sin(x)⁴ = (1/4)(1 -2cos(2x) +(1/2)(1 +cos(4x))
sin(x)⁴ = (1/8)(cos(4x) -4cos(2x) +3)
Since this question is asking for the unit rate of the cost per yard of fabric, think of this as a ratio and proportions question where 2.6:8.94 = 1:x (represents the cost per yard).
To solve, cross multiply to get 2.6x=8.94
Then, solve for x and you get about $3.44 per yard
Divide by 3 then subtract however many you have to
First, you must use a factor tree to find the prime factors of the number.
12
/ \
6 (2)
/ \
(3) (2)
2 , 2 and 3 are the prime factors that make 12
2 x 2 x 3= 12
Or
2^2 x 3= 12
Answer:
0 > -5
Step-by-step explanation:
9w - 4w + 6 > 1 + 5w
add the similar variables
5w + 6 > 1 + 5w
subtract 6 from both sides
5w + 6 > 1 + 5w
-6 -6
5w > 5w - 5
simplify
5w > 5w -5
subtract 5 w from both sides
5w > 5w -5
-5w -5w
simplify
= 0 > -5
