Answer:
0
<em>Quick </em><em>Tip</em>
<em> </em>X - value on the y - axis is always 0.
f(x) is used interchangeably with y
፡ f(x) = y
y = 5.
The cow produces 5 liters a day.
You want to find how much it will produce a day if the cow produces 200% more milk. So, you use the equation p*(1+x/100)
<span>5×(1+200/100)=15</span>
Step-by-step explanation:
Left hand side:
4 [sin⁶ θ + cos⁶ θ]
Rearrange:
4 [(sin² θ)³ + (cos² θ)³]
Factor the sum of cubes:
4 [(sin² θ + cos² θ) (sin⁴ θ − sin² θ cos² θ + cos⁴ θ)]
Pythagorean identity:
4 [sin⁴ θ − sin² θ cos² θ + cos⁴ θ]
Complete the square:
4 [sin⁴ θ + 2 sin² θ cos² θ + cos⁴ θ − 3 sin² θ cos² θ]
4 [(sin² θ + cos² θ)² − 3 sin² θ cos² θ]
Pythagorean identity:
4 [1 − 3 sin² θ cos² θ]
Rearrange:
4 − 12 sin² θ cos² θ
4 − 3 (2 sin θ cos θ)²
Double angle formula:
4 − 3 (sin (2θ))²
4 − 3 sin² (2θ)
Finally, apply Pythagorean identity and simplify:
4 − 3 (1 − cos² (2θ))
4 − 3 + 3 cos² (2θ)
1 + 3 cos² (2θ)
You can round 15 to 20, and 8 to 10
25x^2 = 16
divide each side by 25
x^2 = 16/25
take the square root of each side
sqrt (x^2) = +- sqrt(16/25)
x = +- sqrt(16)/sqrt(25)
x = +- 4/5
x = 4/5, - 4/5