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neonofarm [45]
3 years ago
13

Evaluate the expression below when x = -2. x2 − 8 _____ x + 6

Mathematics
1 answer:
Paraphin [41]3 years ago
7 0
-4-8 -12
--------= -------= -3
-2+6 4
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How does the structure of a trinomial with a leading coefficient of 1 and a positive constant help to factor it?
mixer [17]

Answer:

See explanation

Step-by-step explanation:

If a quadratic trinomial has a leading coefficient of 1 and a positive constant, then it is very easy to factor.

You just have to look for two factors of the constant term that add up to the coefficient of x( the middle term).

Then you write as factors.

For instance;

{x}^{2}  +5 x + 6

To factors of 6 that add up to 5 are 2 and 3.

Therefore the factorization is:

(x + 2)(x + 3)

8 0
3 years ago
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Mademuasel [1]
Yes should be the right answer
5 0
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I don’t understand need it by tomorrow!
snow_tiger [21]

Explanation:

It can help to draw your own figure with the right angles better represented. You will notice that right triangles PQR and PRS share side RS. PQ is the hypotenuse of one of them; RS is the hypotenuse of the other.

We can write two equations that make use of the Pythagorean theorem:

  PQ² = PR² +RQ²

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Then we can swap sides of the first equation and subtract the second equation. This gives ...

  (PR² +RQ²) -(RS²) = (PQ²) -(QS² +RQ²)

Adding RQ², we can write this as ...

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The given relationship PR > RS means that PR² -RS² will be positive, so the left side of this equation must be positive.

Since PQ² - QS² is a positive number, PQ > QS.

6 0
4 years ago
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What is the first quartile of the data displayed in the box-and-whisker-plot?
julsineya [31]
The answer is 37.
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4 0
3 years ago
Lawrence’s father gave him 200 baseball cards. Each week, Lawrence purchases 25 baseball cards to add to his collection.
andre [41]

Answer:

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Lawrence gets 25 cards a week, so you can mark this as 25w.

Next, he also started with 200 from his father, so you can add +200.

Lastly, you're calculating how many weeks it would take until he had over 750 cards. So the inequality would be >750.

Add them all up and you get 25w+200>750.

7 0
4 years ago
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