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3 years ago

Solve the inequality. |3x + 6| x > 2 C. –2 < x < 2 D. –6 < x < 2

Mathematics

1 answer:

iren [92.7K]3 years ago

8 0

Answer:

-6 < x < 2

Step-by-step explanation:

hope this helps :)

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In a bag of 18 oranges, 12 have gone bad.<br><br> What is the ratio of good oranges to bad oranges?

klemol [59]

Of 18 oranges, if 12 are bad that means 6 are good. Ratio of good to bad is 6:12 reduced to 1:2, the answer

4 0

3 years ago

Assume that f(x)=ln(1+x) is the given function and that Pn represents the nth Taylor Polynomial centered at x=0. Find the least

WINSTONCH [101]

Answer:

the least integer for n is 2

Step-by-step explanation:

We are given;

f(x) = ln(1+x)

centered at x=0

Pn(0.2)

Error < 0.01

We will use the format;

[[Max(f^(n+1) (c))]/(n + 1)!] × 0.2^(n+1) < 0.01

So;

f(x) = ln(1+x)

First derivative: f'(x) = 1/(x + 1) < 0! = 1

2nd derivative: f"(x) = -1/(x + 1)² < 1! = 1

3rd derivative: f"'(x) = 2/(x + 1)³ < 2! = 2

4th derivative: f""(x) = -6/(x + 1)⁴ < 3! = 6

This follows that;

Max|f^(n+1) (c)| < n!

Thus, error is;

(n!/(n + 1)!) × 0.2^(n + 1) < 0.01

This gives;

(1/(n + 1)) × 0.2^(n + 1) < 0.01

Let's try n = 1

(1/(1 + 1)) × 0.2^(1 + 1) = 0.02

This is greater than 0.01 and so it will not work.

Let's try n = 2

(1/(2 + 1)) × 0.2^(2 + 1) = 0.00267

This is less than 0.01.

So,the least integer for n is 2

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3 years ago

(Thank you for any help that you can offer, but please; if you ARE NOT COMPLETELY SURE of your answer, refrain from answering. I

aliina [53]

It is true, how??Here is explanation:

Consider a quadrilateral ABCD .Join diagnol AC so two triangles ABC & ACD will form.
Sum of interior angles of ABC is 180 and that of ACD is 180 as well.So, the total sum of the interior angles of ABC & ACD is 360 which is the sum of interior angles of quadrilateral itself.

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3 years ago

Amber is starting a garden. She plants 2 flowers the first month. The next month, she plans three times more flowers (6 flowers)

Artist 52 [7]

This is a geometric progression problem. We can the general formula that can tell us how many flowers would be planted each month.
Let's write the terms that we know and see if we can find the pattern:
$
\begin{tabular}{lll}
Month & Number of flowers planted & Different form \\
1 & 2 & 2\cdot3^0 \\
2 & 6 & 2\cdot3^1 \\
3 & 18 & 2\cdot3^2 \\
4 & 54 & 2\cdot3^3
\end{tabular}
\end{table}$
The patern here is obvious. Let's write it down:
$N=2\cdot3^{n-1}$
This formula gives us a number of flowers planted in the n-th month.

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2 years ago

What is the equation of the following line? Be sure to scroll down first to see all answer options.

Annette [7]

From the figure the given line passes through the points (0, 0) and (-4, 8).

Recall that the equation of a straight line is given by
$\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}$

Thus, The equation of the given figure is given by
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2 years ago