The instantaneous rate of change is simply equivalent to
the first derivative of the equation or function. We are given the equation of
Surface Area (A) with respect to side (x):
A = 6 x^2
Taking the first derivative of the equation:
dA = 12 x dx
dA / dx = 12 x
Now the term dA / dx is the instantaneous rate of change
in the surface area with respect to the side length. To get the rate of change
when the side x = a, simply plug this in into the equation:
rate of change = dA / dx = 12 x
so when x = a:
<span>rate of change = 12 a</span>
Answer:
b > 9
Step-by-step explanation:
6(b – 4) > 30
Divide each side by 6
6/6(b – 4) > 30/6
b-4 > 5
Add 4 to each side
b-4+4 > 5+4
b > 9
Answer:
- c(m) = 39.95 +0.35m
- 85 minutes over 500
Step-by-step explanation:
Let m represent the number of minutes used over 500. Then the cost of the cell phone plan is ...
c(m) = 39.95 +0.35m
__
For a cost of 69.70, the number of excess minutes can be found by solving ...
69.70 = 39.95 +0.35m
29.75 = 0.35m . . . . . . . . . subtract 39.95
29.75/0.35 = m = 85 . . . . divide by the coefficient of m
The number of minutes of usage over 500 is 85.
Cost of basic car = $8250
Optional cost = $324
Total cost of basic car and optional items for John= (8250 + 324) dollars
= 8574 dollars
Then
Percentage of sales tax = 6%
Amount of sales tax = 8574 * (6/100) dollars
= 514.44 dollars
License and registration fee combined = $50
Then total cost of John in regards to buying the car = 8574 + 514.44 + 50
= 9138.44 dollars
<span>$9,138.44</span> is the correct option in regards to the question given.
Answer:
6
Step-by-step explanation:
When the cube is folded, 6 is the opposite of 1.
2 is the opposite of 4 and 5 is the opposite of 3.
