Answer:
D) 2/3 x - 8
E) -4x + 11
Step-by-step explanation:
y ∈ R | -∞ < y < ∞ just means that the range for y is all real numbers in a function. For y to be all real numbers, the function, when graphed, has to have no top or bottom limit. The only graphs without top or bottom limits are D and E.
A has a bottom limit
B has a bottom limit
C has a top limit
Suppose the length of the fence perpendicular to the central partition is x. Then the total length of the fence (L) for enclosed area A is
.. L = 2x +3*A/x
The derivative of this with respect to x is
.. L' = 2 -3A/x²
L will be minimized when this is zero.
.. 0 = 2 -3A/x²
.. x² = 3A/2
.. x = √(3A/2)
For this value of x, the total length of fence is
.. L = 2√(3A/2) -3A/√(3A/2)
.. L = 4√(3A/2) = 2√(6A)
For this problem, A = 14,900 ft², so
.. L = 2√(6*14,900 ft²) ≈ 597.997 ft
The smallest length of fence required to fence the rectangular area is 598 ft.
Answer:
Reflection
Step-by-step explanation: It is reflection because it is the same thing just reflected
Answer:
2 batches
Step-by-step explanation:
if you can make it with 1/4 chips, then if you have 2/4 then you can make 2 batches because its double.
Answer:
<em>The answer will be:
</em>
Step-by-step explanation:
The given expression is: ![\frac{3}{5}+(-\frac{1}{4}) \frac{7}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%2B%28-%5Cfrac%7B1%7D%7B4%7D%29%20%5Cfrac%7B7%7D%7B10%7D)
First we need to multiply
and
. So, we will get.......
![\frac{3}{5}+(-\frac{7}{40}) \\ \\ =\frac{3}{5}- \frac{7}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%2B%28-%5Cfrac%7B7%7D%7B40%7D%29%20%5C%5C%20%5C%5C%20%3D%5Cfrac%7B3%7D%7B5%7D-%20%5Cfrac%7B7%7D%7B40%7D)
Now, we need to make both denominators equal. So.........
![\frac{3\times8}{5 \times 8}-\frac{7}{40} \\ \\ =\frac{24}{40}- \frac{7}{40} \\ \\ =\frac{24-7}{40}= \frac{17}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5Ctimes8%7D%7B5%20%5Ctimes%208%7D-%5Cfrac%7B7%7D%7B40%7D%20%5C%5C%20%5C%5C%20%3D%5Cfrac%7B24%7D%7B40%7D-%20%5Cfrac%7B7%7D%7B40%7D%20%5C%5C%20%5C%5C%20%3D%5Cfrac%7B24-7%7D%7B40%7D%3D%20%5Cfrac%7B17%7D%7B40%7D)
So, the answer will be: ![\frac{17}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B40%7D)