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Jobisdone [24]
3 years ago
10

What is the middle integer?

Mathematics
1 answer:
Elanso [62]3 years ago
7 0

Answer:

-56

Step-by-step explanation:

Hello!

Let's create an equation to figure out what the middle integer really is.

Creating an equation:

n + (n + 1) + (n + 2) = -168 (This is true because we must account for the <em>consecutive integers </em>part.)

Simplifying:

3n + 3 = -168

Subtracting:

3n = -171

Dividing:

n = -57

Now, we plug-and-chug:

-57, -56, -54 (this is because we accounted for adding <em>positive </em>one.)

Thus, the middle integer is \boxed{-56}.

Check:

We can see if we are correct by adding up -57, -56, -54.

(-57) + (-56) + (-54) = -168

So we are correct!

Hope this helps!

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12.56

Step-by-step explanation:

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3 years ago
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Given that f(x) = 2x + 5 and g(x) = x − 7, solve for f(g(x)) when x = −3.
WITCHER [35]
G(-3) = -3-7 = -10;
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3 years ago
Find the integration of (1-cos2x)/(1+cos2x)
slega [8]

Given:

The expression is:

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To find:

The integration of the given expression.

Solution:

We need to find the integration of \dfrac{1-\cos 2x}{1+\cos 2x}.

Let us consider,

I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx

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It can be written as:

I=\int (\sec^2x-1)dx             [\because 1+\tan^2 \theta =\sec^2 \theta]

I=\int \sec^2xdx-\int 1dx

I=\tan x-x+C

Therefore, the integration of \dfrac{1-\cos 2x}{1+\cos 2x} is I=\tan x-x+C.

8 0
3 years ago
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Answer:  4

Step-by-step explanation:

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24 + 6n ≥ 50

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The maximum number of tubes of paint that Kevin can buy is 4.

4 0
2 years ago
Read 2 more answers
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