Answer:
t = -24*log(2/3)
Step-by-step explanation:
The expression is:
V = 22,500*10^(-t/12)
Replacing with V = 10,000 and isolating t, we get:
10,000 = 22,500*10^(-t/12)
10,000/22,500 = 10^(-t/12)
4/9 = 10^(-t/12)
(2/3)² = 10^(-t/12)
2*log(2/3) = -t/12
-12*2*log(2/3) = t
t = -24*log(2/3)
Answer:
x=4
Step-by-step explanation:
Answer:
The vertex of the parabola is at equal distance between focus and the directrix. If F is the focus of the parabola, V is the vertex and D is the intersection point of the directrix and the axis of symmetry, then V is the midpoint of the line segment ¯FD
Step-by-step explanation:
answer 3rd
The inverse function of the function above is f(x) = 4x + 8
You can find the inverse to any function by switching the x and f(x) values. After that, solve for the new f(x) value. The result will be the inverse function. The step-by-step process for this one is done below for you.
f(x) = 1/4x - 2 ----> Start by switching the f(x) and x
x = 1/4f(x) - 2 ----> Now add 2 to both sides
x + 2 = 1/4f(x) ----> Now multiply both sides by 4
f(x) = 4x + 8
Now that you've solved it for the new f(x), you have your inverse function.
