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Paul [167]
3 years ago
11

Find the value of "k", given that one solution of the equation x2-kx+21=0 is 3

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
5 0
Plug in 3 for x and solve for k.
(3)^2-3k+21=0
3k=9+21
3k=30
k=10
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Andrea and sula ran a race on a track that was 100 meters long.When andrea crossed the finish line sula was exactly 5 meters beh
cestrela7 [59]
Andrea will be at 95 meters and Sula would win I think.
7 0
3 years ago
Can someone help out? or explain? ​
Nataliya [291]
Y = 90 degrees

1) The angles on a straight line add to 180 degrees so 180-110= 70 degrees.

2) The angles in a triangle add to 180 degrees so 70+70= 140 degrees. The angle at the top of the triangle will have to be 40 degrees as 140+40= 180 degrees.

3) As x is half the angle at the top of the triangle (40 degrees), x will equal 20 degrees.

4) As the angles in a triangle add to 180 degrees 20+70=90 degrees 180-90=90 degrees.

5) Answer = 90 degrees

7 0
2 years ago
The temp at noon was 3*F and in midnight the temp dropped 8*F. What was the temp at midnight?
Romashka [77]

Answer: -5°F

Step-by-step explanation:

The temp at noon was 3*F and in midnight the temp dropped 8*F. Therefore, the temp at midnight will be calculated as:

= 3°F - 8°F.

= -5°F

6 0
2 years ago
What are all values of x for which the series shown converges? ​
adoni [48]

Answer:

One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:

Iaₙ₊₁I < IaₙI

This means that the absolute value of the terms must decrease as n increases.

Then we must have:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}

We can write this as:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}

If we assume that n is a really big number, then:

n + 1 ≈ 1

And we can write:

\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}

Then we have the inequality

1 > (x - 2)/3

And remember that this must be in absolute value, then we will have that:

-1 < (x - 2)/3 < 1

-3 < x - 2 < 3

-3 + 2 < x < 3 + 2

-1 < x < 5

The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.

5 0
2 years ago
In 2011, U.S. exports of goods and services are $2,094 billion and imports of goods and services are $2,662 billion.
daser333 [38]

Answer:

$-568 billion dollars.

Step-by-step explanation:

2,094 - 2,662= -568.

Hope this helps and good luck!

7 0
3 years ago
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