Answer:
3 Numbers: 15, 21, 35
Step-by-step explanation:
We want number that divide 109 with a remainder of 4.
Thus, it can divide of 109 - 4 = 105
Factors of 105 = 3, 5, 7
Thus for getting two digit number it must be Multiple of any two factors of 105.
i.e. 15, 21 and 35
Hence there are only 3 numbers that divide 109 with a remainder of 4.
Answer:
-16
Step-by-step explanation:
k = 3
-2(3) + 5 = -1
k = 4
-2(4) + 5 = -3
k = 5
-2(5) + 5 = -5
k = 6
-2(6) + 5 = -7
(-1) + (-3) + (-5) + (-7)
= -16
Answer:
The answer is below
Step-by-step explanation:
A polynominal function that describes an enclosure is v(x)=1500x-x2 where x is the length of the fence in feet what is the maximum area of the enclosure
Solution:
The maximum area of the enclosure is gotten when the differential with respect to x of the enclosure function is equal to zero. That is:
V'(x) = 0
V(x) = x(1500 - x) = length * breadth.
This means the enclosure has a length of x and a width of 1500 - x
Given that:
v(x)=1500x-x². Hence:
V'(x) = 1500 -2x
V'(x) = 0
1500 -2x = 0
2x = 1500
x = 1500 / 2
x = 750 feet
The maximum area = 1500(750) - 750² = 562500
The maximum area = 562500 feet²
