Answer:
m=3
Step-by-step explanation:
–8m = 3 − 9m
-8+9m = 3
m = 3
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
Answer:
6 and 7
Step-by-step explanation:
x + y = 13
xy = 42
I just listed the two equations out and the answer just popped out. The trick to this is just thinking about two numbers that obviously both below 13 that add up to it. 6 and 7 is the solution.
The formula for finding area of a circle is

.
Essentially, we have two circles here. One is a larger outer circle, and the other in a smaller inner circle. In order to find the area of the sidewalk, we must find the area of the outer circle, then find the are of the inner circle. After we find both areas, we subtract.
See attached image for process of finding area, and subtracting areas to find the final area of the sidewalk.
Answer:
1:02
Step-by-step explanation:
There are 30 minutes in a half-hour, so add this to the time he left:
12:32 + 30 mins
= 1:02
He will need to be back at 1:02