The function would be f (x) = 0.4x - 4.
Explanation
We can see that this is linear, since it increases at a constant rate. We find the slope using the formula
m=(y₂-y₁)/(x₂-x₁) = (0.8-0.4)/(12-11) = 0.4/1 = 0.4
We use point-slope form to write the initial equation:
y-y₁ = m(x-x₁)
y-0.4 = 0.4(x-11)
Using the distributive property:
y-0.4 = 0.4*x - 0.4*11
y-0.4 = 0.4x-4.4
Add 0.4 to both sides:
y-0.4+0.4 = 0.4x-4.4+0.4
y=0.4x-4
C = 2πr = 2π(14) = 87.9645943005
∴ the circumference of the bicycle is around 88 inches.
Step-by-step explanation:
sin(2x) + cos(3x)
Use double angle formula sin(2x) = 2 sin x cos x.
Use triple angle formula cos(3x) = 4 cos³x − 3 cos x.
Substitute:
2 sin x cos x + 4 cos³x − 3 cos x
Divide the amount of ounces by 16.
