Answer:
a²(b² - 2b) = a²b² - 2a²b
- a²(b² - 2b) is odd but -2a²b is the even number
=> a²b² must be the odd (because an odd number minus an even number equals an odd number)
=> a and b are odd (proven)
Answer:
Maura runs faster
Step-by-step explanation:
To avoid decimals ,multiply all by 100
Maura 500 mi/125h = 4 mi/h
Ava 300 mi /83 h =3.61445.....mi/h
I love your name it it so great
M = -4/3 (slope stays the same)
so y= -4/3x + b
b = y intercept
without a point on the line I can’t figure out what exact line you were looking for but that equation with any value as b will give you a line parallel to the original.
Answer:
$17.5
Step-by-step explanation:
The operator, for a round-trip fare of $20, carries an average of 500 people per day.
It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.
Therefore, for $x dollars increase in fare, 20x less people will take the trip and at that time the total fare F is given by
F(x) =(20 + x)(500 - 20x) = 10000 + 100x - 20x²
For F(x) to be maximum, the condition is
Hence, 100 - 40x = 0
⇒ x = 2.5
Therefore, the fare of $(20 - 2.5) = $17.5 will maximize the total fare. (Answer)