To store more containers for higher stocks and space
E) 2
Remember that the first derivative of a function is the slope of the function at any specified point. We've been told that f(0) = -5 and that f'(x) is always less than or equal to 3. So let's look at the available options and see what the average slope would have to be in order to get the specified value of f(2).
A) -10: (-10 - -5)/(2 - 0) = -5/2 = -2.5
B) -5: (-5 - -5)/(2 - 0) = 0/2 = 0
C) 0: (0 - -5)/(2 - 0) = 5/2 = 2.5
D) 1: (1 - -5)/(2 - 0) = 6/2 = 3
E) 2: (2 - -5)/(2 - 0) = 7/2 = 3.5
Now taking into consideration the mean value theorem, the value of the function f'(x) has to have the value equal to the average slope between the two points at at least one point between the two given values. For options A, B, C, and D it's possible for f'(x) to return values that make that slope possible. However, for option E, the mean value theorem indicates that f'(x) has to have the value of 3.5 for at least 1 point between x=0 and x=2. And since we've been told that f'(x) is less than or equal to 3 for all possible values of x, that is in conflict and f(2) can not have the value of 2.
Answer:
36 cm
Step-by-step explanation:
Let x represent the multiplier of the ratio units. Then the perimeter is the sum of the side lengths:
77 = 25 + 4x +9x
52 = 13x . . . . . . . . subtract 25
x = 4 . . . . . . . . . divide by 13
4x = 4(4) = 16 . . . . find the other side lengths
9x = 9(4) = 36
The side lengths are 25 cm, 16 cm, 36 cm. The longest side is 36 cm.
Answer:
If Jaxon works 9 years he will eventually make 76,000$. 40,000$ their regular salary 36,000$ is just the raise they get after working the same job without the normal salary involved.
Step-by-step explanation:
40,000 as it is
9 Times 4,000 is 36,000
So 40,000 Plus 36,000 Equals 76,000$
well since its this its its its 27
