Answer:
-3 every time
Step-by-step explanation:
The equation of the line is y = 3x - 4, so the inequality is y <= 3x - 4.
Answer:
f(x) = 1500(0.97)ˣ
Step-by-step explanation:
Given that:
f(x) = abˣ
a is the initial bone density, that is the bone density at 0 years, x is the number of years and b is any real value. For an exponential growth, b > 1 while for an exponential decay, b < 1.
Since the bone has a current density of 1,500 kg/m³, hence a = 1500.
The density is lost at a rate of 3% annually, therefore b = 100% - 3% = 97% = 0.97.
Therefore substituting the values of a and b into the function gives:
f(x) = 1500(0.97)ˣ
f(x) = 6x - 12
y = 6x - 12
y + 12 = 6x - 12 + 12
<u>y + 12</u> = <u>6x</u>
6 6
¹/₆y + 2 = x
y = ¹/₆x + 2
f⁻¹(x) = ¹/₆x + 2
f⁻¹(-3) = ¹/₆(-3) + 2
f⁻¹(-3) = -¹/₂ + 2
f⁻¹(-3) = 1¹/₂
(x, f⁻¹(x)) = (-3, 1¹/₂)
