y−y1=m(x−x1)=
Slope intercept form: y=2/3x−16/3
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

Using the quadratic formula, the solution for our problem is

The rocket splashes after 26.845 seconds.
The maximum of this function happens at the root of the derivative. Differentiating our function, we have

The root is

Then, the maximum height is

1029.99 meters above sea level.
Answer:
29
Step-by-step explanation:
3 x 8 = 54 - 25 = 29
Answer:
The function, f(x) to model the value of the van can be expressed as follows;

Step-by-step explanation:
From the question, we have;
The amount at which Amrita bought the new delivery van, PV = $32,500
The annual rate of depreciation of the van, r = -12% per year
The Future Value, f(x), of the van after x years of ownership can be given according to the following formula

Therefore, the function, f(x) to model the value of the van after 'x' years of ownership can be expressed as follows;

Answer:
x≠-1,1
Step-by-step explanation:
f(g(x)) is a composition where g(x) is is substituted for x in f(x).
Recall, f(x) is 2/x. So we write 2/|x|-1. This places x in the denominator and 0 cannot be in the denominator x. Any value of x that makes the denominator 0 will not be in the domain.
|x|-1=0
|x|=1
x=1,-1