Answer: Choice D
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Explanation:
The left portion is the interval (-∞, -2)
This is a shorthand way of saying 
The curved parenthesis says "do not include this endpoint as part of the solution set". Note the open hole at x = -2 in the diagram.
In contrast, the value x = 4 is included (due to the filled in circle), so we use a square bracket for this endpoint. Therefore, the right-hand portion is represented by [4, ∞) which translates to 
Negative and positive infinity will always use a parenthesis, and never a square bracket. This is because we can only approach infinity but never reach it, so we cannot include it as an endpoint.
All of this builds up to the full interval notation to be
The only square bracket is near the 4; everything else is a curved parenthesis. This is why choice D is the final answer.
There are 85 seats in each section. 2125 divided by 25 is 85.
Answer: total cost = 36/w + 36/l + 9lw
Step-by-step explanation:
The formula for determining the volume of the rectangular box is expressed as
Volume = lwh
Where lwh represents the length, width and height of the box respectively.
Since the volume of the box = 3cm³,then
lwh = 3
h = 3/lw
Since the box is open, the surface area would be
2lh + 2wh + lw
Given that the material for the sides of the box costs 6 per square meter, the total cost for the sides is
(2lh × 6) + (2wh × 6)
Substituting h = 3/lw into the above expression, it becomes.
(2l × 3/lw × 6) + (2w× 3/lw × 6)
= 36/w + 36/l
Since the material for the bottom costs 9per square meter, the total cost for the bottom is
9 × lw = 9lw
Therefore, the total cost of the box as a function of the length land width is
36/w + 36/l + 9lw
Began by dividing 850 by 1, then 2, then 3, and so on, and I made a list of the whole numbers.
They were 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, and 850
By inspection, the two smallest numbers which when multiplied together yielded 850 were 25 and 34.
Answer:
Step-by-step explanation:
This is a question that uses the Pythagorean Theorem.
a = 35 feet
b = x which is the height of the tree.
c = 3*x + 1 so we are trying to find x. Substitute into a b and c
a^2 + b^2 = c^2
35^2 + x^2 = (3x + 1)^2
35^2 + x^2 = 9x^2 + 6x + 1 Subtract x^2 from both sides.
35^2 = 8x^2 + 6x + 1 Subtract 35^2 from both sides.
0 = 8x^2 + 6x + 1 - 35^2
0 = 8x^2 + 6x - 1224
Does this factor?
(x + 12.75)(x - 12)
x - 12 = 0 is the only value that works.
x = 12
The tree is 12 feet high.
Note: I used the quadratic formula to solve this.
