Plz help! (due tonight!)
1 answer:
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Answer:
26.5 units²
Step-by-step explanation:
I am splitting the figure into a rectangle and two triangles to make this easier for me.
The rectangle is b•h so 5•4 = 20 units²
Area of triangle=1/2bh
The left triangle is (3•3) --->
(9) ---> 4.5 units²
The right triangle is (2•2) --->
(4) ---> 2 units²
Then add it all up: 20+4.5+2 = <u>26.5</u><u> </u><u>units²</u>
Answer as an inequality:
Answer in interval notation:
Answer in words: Set of positive real numbers
All three represent the same idea, but in different forms.
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Explanation:
Any log is the inverse of an exponential equation. Consider a general base b such that f(x) = b^x. The inverse of this is
For the exponential b^x, we cannot have b^x = 0. We can get closer to it, but we can't actually get there. The horizontal asymptote is y = 0.
Because of this, has a vertical asymptote x = 0 (recall that x and y swap, so the asymptotes swap as well). This means we can get closer and closer to x = 0 from the positive side, but never reach x = 0 itself.
The domain of is x > 0 which in interval notation would be
. This is the interval from 0 to infinity, excluding both endpoints.
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The natural log function Ln(x) is a special type of log function where the base is b = e = 2.718 approximately.
So,
allowing all of what was discussed in the previous section to apply to this Ln(x) function as well.
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In short, the domain is the set of positive real numbers. We can't have x be 0 or negative.