I NEED HELP I WILL GIVE YOU 35 POINTS

Mathematics

1 answer:

Elena-2011 [213]3 years ago

6 0

The solution to this equation is x = 0 or x = 1

To find the solution, you use Desmos and enter x+2 in both one and 2^x+1 in box two. It will graph the lines for you and you take the x-coordinate of the two places where the lines overlap, and they overlap at (0,2) and (1,3).

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State if the pair of triangles are similar. If so, state how you know they are similar and

RideAnS [48]

They can’t be similar. Similar triangles have congruent corresponding angles, and two angles are given on each. Neither of those correspond to another on the opposite triangle. Basically, there’s no way to have three congruent angles, so they aren’t similar.

5 0

2 years ago

Find a closed form for the generating function for each of these sequences. (assume a general form for the terms of the sequence

noname [10]

There really is no single "obvious" choice here...

Possibly the sequence is periodic, with seven copies of -1 followed by six copies of 0, or perhaps seven -1s and seven 0s. Or maybe seven -1s, followed by six 0s, then five 1s, and so on, but after a certain point it would seem we have to have negative copies of a number, which is meaningless.

Or maybe it's not periodic, and every seventh value in the sequence is incremented by 1? Who knows?

I'll go ahead and assume the latter case, that the sequence is not periodic, since that's technically somewhat easier to manage. We can assign the following rule to the $n$ -th term in the sequence:

$\{a_n\}=\{-1,\ldots,-1,0,\ldots,0,1,\ldots,1,2,\ldots,2,3,\ldots\}$
$\implies a_n=\left\lfloor\dfrac n7\right\rfloor-1$

for $n\ge0$ .

So the generating function for this sequence might be

$G(a_n;x)=\displaystyle\sum_{n\ge0}\left(\left\lfloor\frac n7\right\rfloor-1\right)x^n$

As to what is meant by "closed form", I'm not sure. Would this answer be acceptable? Or do you need to find a possibly more tractable form for the coefficient not in terms of the floor function?

4 0

3 years ago

Round 1627187 to the nearest ten?

Eduardwww [97]

Answer:

1627190

Step-by-step explanation:

(see attached for reference)

Given the number 1627187, we can see that the number in the tens place is the number 8.

How we round this depends on the number immediately to the right of this number. (i.e the digit in the ones place)

Case 1: If the digit in the ones place is less less than 5, then the number in the tens place remains the same and replace all the digits to its right with zeros

Case 2: If the digit in the ones places is 5 or greater, then we increase the digit in the tens place and replace all the digits to its right with zeros.

In our case, the digit in the ones places is 7, this greater than 5, hence according to Case 2 above, we increase the digit in the tens place by one (from 8 to 9) and replace all the digits to its right by zeros giving us:

1627190