Solution:- Given that the total revenue function
,where x is the number of rooms filled
Now, differentiating the function w.r.t. x,we get
To find critical points ,Put
Answer:
Step-by-step explanation:
<u>6-digit palindrome is the number n the form of:</u>
<u>This is divisible by 11 by default as the sum of the digits in odd placed is same as sum of the number in even places (remember the divisibility rule by 11):</u>
Now, in order to be divisible by 99, the number must be divisible by 11 and 9.
According to divisibility rule by 9 the sum of all digits must be divisible by 9. <u>You can see In our case we need to have (the minimum):</u>
<u>The smallest number we could get is when x is minimum, y is minimum, so:</u>
<u>The number we get is:</u>
<u>Proof:</u>
Answer:
(-2, 4)
Step-by-step explanation:
y = -3x - 2
y = -x +2
=> -3x - 2 = -x +2
-3x + x = 2 + 2
-2x = 4
x = -2
-x + 2 = y
2 + 2 = y
4 = y
To determine the total distance traveled by an object in constant speed, just multiply the speed by the time. So, for the car, the total distance traveled is,
distance by car = (20 m/s)(5s) = 100 m
For decelerating object, the distance traveled is,
distance = Vt - (at^2)/2
For the truck,
distance by truck = (20 m/s)(10s) - (2m/s^2)((10s)^2)/2 = 100 m
Relatively, both have traveled the same distance.