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Sergio039 [100]
3 years ago
7

Which shows one way to determine the factors of x^3+5x^2-6x-30 by grouping?

Mathematics
1 answer:
xeze [42]3 years ago
8 0

The factors of this equation are x = sqrt(6), x = -sqrt(6) and x = -5.

In order to find these by grouping, we start by just taking the first two terms. We then pull out the greatest common factor.

x^2 + 5x^2

x^2(x + 5)

Now we do the same for the last two.

-6x - 30

-6(x + 5)

Since the two parenthesis left behind are exactly the same, we can use them along with the factors pulled out, multiplied together.

(x^2 - 6)(x + 5)

Now to find the factors, we simply set both parenthesis separately equal to 0.

x + 5 = 0

x = -5

x^2 - 6 = 0

x^2 = 6

x = +/-sqrt(6)

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An outlier causes the median to move slightly towards the outlier. 
5 0
3 years ago
How can I solve this?
elixir [45]

Answer:

x=8/21

Step-by-step explanation:

(3/4)/(2/7) = 1/x

(3/4)x = (2/7)

x = (2/7) / (3/4)

x = (2/7) * (4/3)

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3 0
2 years ago
Read 2 more answers
Identify the independent variable for this function
masya89 [10]
<h3>Answer: Time</h3>

Explanation:

Time progresses without any control over it, so it's something that does not depend on any other factor such as distance. On the other hand, as the time value changes, the distance changes. So the distance is dependent on the time.

The horizontal axis is the x axis, and the x value is always the independent variable. The vertical y axis is the distance. The y value is always the dependent variable.

8 0
3 years ago
The question is on the file &lt;3
LuckyWell [14K]
Answer:
The first one is 1:4
The second one is most likely 0.2:1
Im not quite sure though. Hope you get a good grade!
8 0
2 years ago
What is 3.41 (where the .41 is repeating) written as a fraction?<br>Please help!!
Aneli [31]

Answer:

41/99

Step-by-step explanation:

There are two types of non terminating decimals. These are: Simple and Mixed

The one that you wrote up here is Simple, Since 41 is the only number that goes on repeating itself.

And mixed non terminating decimal is like 0.352 whereas 52 keeps repeating itself.

So when you change a non terminating decimal the denominator is always 9. But it depends on the decimal whether it is simple or mixed.

Since the decimal you wrote is simple and 2 digits keep on repeating themselves the denominator will be 99.

And the numerator will be the decimal number that keeps repeating itself without the repeating bar.

Therefore, the answer is 41/99.

Hope it helps ;) ❤❤❤

7 0
3 years ago
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