y = Acos(Bx) + D;
D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5
WE get y = 2cos(16/5x) + 4
$0.56. 0.7/5=$0.14 $0.14 is the amount per minute. so then you would multiply $0.14 x 4= $ 0.56
2x+2x+60=180 because the angles have to add up to 180
So you have
4x+60=180
4x=120
x=30
Fraction form: x=7/12
Steps:
64^4x-3
2^6(4x-3)=2^-4
6(4x-3)=-4
4x-3=-2/3
4x=7/3
X=7/12
The cubic function is f(x) = x^3
You need to perform three transformations to the cubic function to obtain
f(x) = - (x + 2)^3 - 5.
Those transfformations are:
1) Shift f(x) = x^3, 2 units leftward to obtain f(x) = (x + 2)^3
2) reflect f(x) = (x + 2)^3 across the x-axis to obtain f(x) = - (x + 2)^3
3) shift f(x) = - ( x + 2) ^3, 5 units downward to obtain f(x) = - (x + 2)^3 - 5