<h3>Answer: Choice C</h3>
- domain = (-infinity, infinity)
- range = (-infinity, 0)
- horizontal asymptote is y = 0
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Explanation:
Since no division by zero errors are possible, and other domain restricting events are possible, we can plug in any x value we want. This means the domain is the set of all real numbers. Representing this in interval notation would be (-infinity, infinity).
The range is the set of negative real numbers, which when written in interval notation would be (-infinity, 0). This is because y = 5^x has a range of positive real numbers, and it flips when we negate the 5^x term. The graph of y = -5^x extends forever downward, and the upper limit is y = 0.
It never reaches y = 0 itself, so this is the horizontal asymptote. Think of it like an electric fence you can get closer to but can't touch.
Hey any chance you remember the work answer for the problem? I have the same question also!
First, find the area of the base (the triangle) and then multiply it by the height
to find the area of the triangle you need to know the height. cut the triangle in half and you get a right triangle, from there you can use the Pythagorean theorem. remember since you cut the triangle in half you have to divide one of the sides by 2
a^2 + b^2 = c^2 (plug in known information)
a^2 + (7.5)^2 = (15)^2 (solve, first solve the exponents)
a^2 + 56.25 = 225 (subtract 56.25 on both sides)
a^2 = 168.75 (solve for a, put 168.75 under the square root)
then once you find the area multiply by the known height
Production by Mexico is the same percentage (3%) of world production for the years of interest, so the relation is
... (mexico production) = 0.03 × (world production)
Then, dividing by 0.03, we get
... (mexico production)/0.03 = (world production)
The change in world production is the difference between the amounts for the two years, so is
... (production increase) = (2007 world production) - (2000 world production)
... = 24/0.03 - 18/0.03 = (24 - 18)/0.03
... = 6/0.03 = 200 . . . . million metric tons
The appropriate choice is (D) 200.
