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Mathematics

2 answers:

solong [7]3 years ago

6 0

The answer will be O

katen-ka-za [31]3 years ago

5 0

The answer to this would be O

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Critical points of x+5/x+2>0

Scorpion4ik [409]

Answer:

{-5, -2}

Step-by-step explanation:

In a case like this please use parentheses to remove ambiguities. If I were to take your "x+5/x+2" literally, I'd have to write x plus 5/x plus 2.

I suspect that you actually meant (x + 5) / (x + 2), and will start with that.

First of all, this function is not defined at x = -5 or at x = -2. Thus, -5 and -2 are critical points.

Secondly, there may be one or more critical points beyond this. To find out, we have to differentiate (x+5)/(x+2):

(x + 2)(1) - (x + 5)(1)

f '(x) = ------------------------------

(x + 2)

Here it's clear that x cannot = -2, which would cause division by zero.

Thus, our critical values are {-5, -2}.

8 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

babunello [35]

The 4th one goes with the 1st box
The 2nd one goes with the 2nd box
The last one goes with the 3rd box

3 0

3 years ago

What is the factorization of 729^15+1000?

igomit [66]

Answer:

The factorization of $729x^{15} +1000$ is $(9x^{5} +10)(81x^{10} -90x^{5} +100)$

Step-by-step explanation:

This is a case of factorization by sum and difference of cubes, this type of factorization applies only in binomials of the form $(a^{3} +b^{3} )$ or $(a^{3} -b^{3})$ . It is easy to recognize because the coefficients of the terms are perfect cube numbers (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).