Step-by-step explanation:
The formula the amusement parc use is 100y-39000=55(x-800)
The slope intercept form of a function is wriiten generally as:
y = mx+c
- m is a slope
- c is a constant and represents the y-intercept
- x is a variable
- y is the input of the function
Let's rewrite our equation in the precedent form
- 100y-39000 = 55(x-800)
- 100y -39000 = 55x-44000 add 39000 in both sides
- 100y-39000+39000 = 55x-44000+39000
- 100y = 55x-5000 divide both sides by 100
- y = 0.55x-50
The slope intercept form of this equation is:
y= 0.55x-50
Write an expression for 213 increased by d: 
Answer:

Step-by-step explanation:
You are given the function
. To find the inverse function
do such steps:
1. Rewrite the function f(x) as

2. Express x in terms of y:

3. Change x into y and y into x:

Now, the inverse function is

The 31st term of this sequence is 189.
9, 15, 21, 27, 33 (5), 39, 45, 51, 57, 63 (10), 69, 75, 81, 87, 93 (15), 99, 105, 111, 117, 123 (20), 129, 135, 141, 147, 153 (25), 159, 165, 171, 177, 183 (30), 189.
Answer:
The area of the rectangle is increasing at a rate of
.
Step-by-step explanation:
Given : The width of a rectangle is increasing at a rate of 2 cm/ sec. While the length increases at 3 cm/sec.
To find : At what rate is the area increasing when w = 4 cm and I = 5 cm?
Solution :
The area of the rectangle with length 'l' and width 'w' is given by 
Derivative w.r.t 't',

Now, we have given




Substitute all the values,



Therefore, the area of the rectangle is increasing at a rate of
.