Answer:
x=3
Step-by-step explanation:
f(x) = 2^x
Let f(x) =8
8 = 2^x
Rewriting 8 as 2^3
2^3 = 2^x
The bases are the same so the exponents are the same
3=x
You'd find the vertical asymptotes by seeing where the denominator equals zero; you can do so by factoring the denominator.
In this case, you can factor the denominator into (x+3)(x+2), so if you set each of those equal to zero you can find the equations of the vertical asymptotes (x=-3 and x=-2).
<span>a^3 - b^3 = (a - b) </span><span>(<span>a^2 + </span>ab + b^2)
</span><span>so
x^3 - 4^3 = (x - 4)(x^2 + 4x + 16)
hope it helps</span>
Answer:
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Step-by-step explanation:
Hi there!
We are given the points (2, 7) and (-6, -2). We want to find the distance between them. To do that, we can use the distance formula
The distance formula is given as
, where
and
are points
We have 2 points, which is what we need to find the distance, but let's label their values to avoid any confusion

Now substitute those values into the formula:
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
Simplify the values under the radical:
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Raise to the second power:
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Add the numbers under the radical together
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The answer can be left as that, as the radical cannot be simplified.
Hope this helps!
So, Juan is 3rd, and Tami has at least 2 ppl in front of her, she can't be third because Juan is, so she's fourth. Kari is not 1st, leaving the only space to be 2nd from Kari.