Answer:
second one
Step-by-step explanation:
Answer:
If you both have 1M subs then its the same, not one person has more
490x + 700y <span>≤ 4000. "No more than" is a rephrase of "less than or equal to".</span>
Answer:
Each side of the hexagon is a rectangle of height 4ft and width 11ft.
The area of each one of these rectangles is:
A = 4ft*11ft = 44ft^2
And a hexagon has 6 faces, so the fish tank will have 6 of these rectangles, then the total area is:
area = 6*44ft^2 = 264 ft^2
We know that the base of the hexagon is not made of glass, but we do not know if the top is made of glass or not.
In the case that the top is not made of glass, the amount of glass needed is 264 ft^2
If the top is made of glass, then we need to add the area of a hexagon of side 11 ft, which is:
a = (3*√3)*(11ft)^2/2 = 314.4ft^2
Then the total area in this case is:
264 ft^2 + 314.4ft^2 = 578.4 ft^2
This is the total amount of glass needed to construct the tank if the top of the tank is made of glass.
Answer:
-11
Step-by-step explanation:
If we call x the least integer, then x + 1 is the next integer, and x + 2 is the greatest integer.
x (x + 1) (x + 2) = -1716
x (x² + 3x + 2) = -1716
x³ + 3x² + 2x = -1716
x³ + 3x² + 2x + 1716 = 0
That's not an easy equation to factor. We could use rational root test, but that would take a long time. However, we can narrow down the options logically. The three integers are relatively close together, so if we approximated the product as x³:
x³ ≈ -1716
x ≈ -11.9
So let's see if x = -12 is a solution:
(-12)³ + 3(-12)² + 2(-12) + 1716 = 396
Nope. Let's try x = -11:
(-11)³ + 3(-11)² + 2(-11) + 1716 = 726
Not that either. Let's go the other direction, x = -13:
(-13)³ + 3(-13)² + 2(-13) + 1716 = 0
Aha! x = -13. So x + 1 = -12, and x + 2 = -11.
-11 × -12 × -13 = -1716
The greatest integer is -11.
