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.
Answer:
35%
Step-by-step explanation:
$28 less.
28 is 35% of 80. (28/80 = 0.35 which is 35%)
the percent markdown is 35%
There is nothing to type out... so....
Step-by-step explanation:
o - odd number
e - even number
n + e =o, if n is odd...rule 1
n + e = e, if n is even...rule 2
n × o = o, if n is odd...rule 3
n × o = e, if n is even...rule 4
thus if 3n +6 = o,
then 3n must be odd, following rule 1
=> 3n = o, then n is an odd number, following rule 3
Answer:
Step-by-step explanation:
