First, x+y=60 and solve for x
x= 60-y
Then set up the equation 11x+6y=460
Since, x=60-y, you plug in for y
11(60-y)+6y=460
660-11y+6y=460
660-5y=460
660-660-5y=460-660
-5y=-200
Divide both sides by 5 (you can drop the negative because they are both negative)
5y/5 = 200/5
y=40
Then take y & plug it back into the original equation of:
x+y = 60 (solve for x)
x+40=60
x+40-40=60-40
x=20
The answer is 20 adult tickets (x) and 40 child tickets (y) were sold.
64-18 is 46
46/2 is 23
23+18 is 41
Your #s are 21 and 43
6a. 1 - 2sin(x)² - 2cos(x)² = 1 - 2(sin(x)² +cos(x)²) = 1 - 2·1 = -1
6c. tan(x) + sin(x)/cos(x) = tan(x) + tan(x) = 2tan(x)
6e. 3sin(x) + tan(x)cos(x) = 3sin(x) + (sin(x)/cos(x))cos(x) = 3sin(x) +sin(x) = 4sin(x)
6g. 1 - cos(x)²tan(x)² = 1 - cos(x)²·(sin(x)²)/cos(x)²) = 1 -sin(x)² = cos(x)²
4x^2+4x-8=0
X^2+x-2=0
(X+2)(x-1)=0
X= -2 or 1
