To start off, the wording of this question is pretty technical. Let's reword the question to make it a bit easier to understand.
From the open interval from -2 to 5 (meaning between but not including those integers), list every integer for x at which x approaches a defined y point on the curve, regardless of whether it actually takes that y value at that point.
Let's start with the first eligible integer, -1.
The limit, from both sides, as x approaches -1 is y=-1.
However, y = -2 at this point.
At 0, x continuous and defined on the curve where you would expect it, and therefore the limit at x=0 is its y value at that point, 0.
x=1 is not eligible, because its left-side limit (when approaching from the left) and right-side limit (when approaching from the right), are distinct.
x=2 has a clear defined limit. It is continuous and defined at that point. The limit looks to be around y= 1.8
x=3 does not feature a clearly defined, finite value, since the limit at x=3 is
-∞
x=4, like x=0 and x=2, has a clear and finite limit, since it is continuous at that point.
Answers are x=-1, x=0, x=2, and x=4
or
{-1, 0, 2, 4}
Answer:
Step-by-step explanation:
Here the number of variables is 2
Variable x should be the number of 100 pound bags of lawn fertilizer to be made.
Variable y should be the number of 100 pound bags of garden fertilizer to be made.
The number of constraints is 5
They are,
0.35x + 0.14y ≤ 160 ----(1)
0.20x + 0.13y ≤ 220 ----(2)
0.20x + 0.12y ≤ 140 ----(3)
x ≥ 0 ----(4)
y ≥ 0 ----(5)
The number of objective functions is 1
It is, Maximize Z = 15x + 10y
Answer:
Both figures have a perimeter of 112 inches.
Step-by-step explanation:
Question 5:
You are given a 6-sided shape, but only 4 sides. To find the perimeter, you need to account for the lengths of the other two sides. As all the angles are right angles, the length of the top horizontal side is equal to the combined length of the bottom two horizontal sides. Similarly the length of the left vertical side is equal to the combined length of the right two vertical sides. Because of this, you actually don't need to find the lengths of the unknown sides to answer the question.
This means the perimeter is:
Question 6:
Exactly the same process as above. Just double the longest vertical and horizontal sides (since the sum of the corresponding shorter sides is equal). You'll notice the longest horizontal side is 31, and the longest vertical side is 25...exactly the same as the previous question.
Therefore, the perimeter will again be 112 inches.
These two questions illustrate the difference between area and perimeter. Even though the perimeter of the two shapes is the same, the area of the second shape is larger than the area of the first.
Answer:
Step-by-step explanation:
If Frank is planting b seeds in one and 5b + 10 in the other, the expression showing the total is b + (5b + 10), or 6b + 10 seeds.
Coterminal angle can be found by adding or subtracting 360<span>°
so 403+360 = 763</span>°<span>
and 403-360-360 = -317</span>°
arccos(−0.32) = 108.66 degree
