1.) The interval of the value of x is from -5 to 1, inclusive. Remember that what is asked is the absolute value, thus the sign does not matter even if you have to subtract x from 5. Thus, the maximum value would be obtained if the x is smaller, which is 1. The minimum value is obtained when x=-5.
Absolute maximum value:
x = - 5f(-5) = ║5 - 7(-5)^2║ = ║-170║=
170Absolute minimum value:
x = 1f(1) = ║5 - 7(1)^2║ = ║-2║=
2
2.) The Mean Value Theorem (MVT) applies to functions that are continuous and differentiable on the closed and open interval of a to b, respectively. Since the function is a quadratic function, MVT can be applied. Then, this means that there is a value of c which is between a and b. This could be determined using this formula according to MVT:

The differentiated form would be f'(x) = -2x. Then,


Thus, x = -1, x = -1/2, and x=0 all lie in the function 4-x^2.
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Answer:
6 5/12
Step-by-step explanation:
Given the expression :
4 2/3 + 1 3/4
The sum of the numbers :
4 2/3 + 1 3/4
14/3 + 7/4
L.C.M of 3 and 4 = 12
(56 + 21) / 12
77 / 12
= 6 5/12
Try to divide the diameter by two
208c + 52v = 5460
v = c + 10
where c = the price for a car rental and v = the price for a van rental.
To solve this system, use substitution; the second equation says v is equal to c + 10, so plug in "c + 10" for v in the first equation and solve for c:
208c + 52(c + 10) = 5460
208c + 52c + 520 = 5460
260c + 520 = 5460
260c = 4940
c = 19
Now that we have c, we can plug it in to the second equation to find v:
v = (19) + 10
v = 29
So, c = 19 and v = 29, meaning that
The cost of a car rental is $19 and the cost of a van rental is $29.