The rate of change is simply the derivative of a function with respect to the other variable. In this case the rate of change with respect to x is desired. Therefore
f(x) = x^3 - 3x^2
f'(x) = 3x^2 - 6x
therefore the rate of change of y with respect to x is dy/dx = 3x^2 - 6x
The answer are B, D and F.
If you solve for x for B, D and F, you'll get (1/2,5)
Answer:
y = 10x + 100
Step-by-step explanation:
The 100 bonus points are guaranteed, no matter if you use the site for 0 months or more. Thus, 100 is the constant, the y-intercept in a graph.
The 10 points you earn for each month is the rate of change, or slope.
The equation is:
y = 10x + 100
where x represents the number of months used, and y is the total points.
As a function, the equation is:
p(x) = 10x + 100
where x is the number of months, and p meaning points.
Answer:
pen = $1.20, pencil = $0.50
Step-by-step explanation:
let x = pen
let y = pencil
create system of equations:
3x + 6y = 6.60 [can be simplified to be x + 2y = 2.20]
5x + 8y = 10.00
substitution method:
x = 2.2 - 2y
5(2.2 - 2y) + 8y = 10
11 - 10y + 8y = 10
-2y = -1
y = 1/2
solve for 'x':
3x + 6(1/2) = 6.6
3x + 3 = 6.6
3x = 3.6
x = 1.2