Answer:
1) Both 15.
2) 25 and -25.
Step-by-step explanation:
1) Let the 2 numbers be x and 30 - x.
The product = x(30 - x)
f(x) = x(30 - x)
f(x) = 30x - x^2
Finding the derivative:
f'(x) = 30 - 2x
Finding the maximum:
30 - 2x = 0
x = 15.
This gives a maximum f(x) because f"(x) = -2.
So the numbers are 15 and 30 - 15 = 15.
2). If one number is x the other is y.
x - y = 50
y = x - 50
The product =
x(x - 50)
= x^2 - 50x
Finding the derivative:
2x - 50 = 0 for a minimum value.
2x = 50
x = 25.
So the numbers are 25 and 25-50 = -25.
Here we go ~
The air plane descends 15 feels every 1.45 seconds, so it's unit rate is :
Now we have to calculate the descent in 3.5 minutes ~
So, the airplane descends 2172.41 feels in three and a half minutes ~
The sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.
Step-by-step explanation: Sorry if this doesn't help....
