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loris [4]
3 years ago
11

0.75(8+e)=2-1.25e what does "e' equal

Mathematics
1 answer:
laila [671]3 years ago
4 0

0.75(8+e)=2-1.25e\qquad\text{use distributive property}\\\\(0.75)(8)+0.75e=2-1.25e\\\\6+0.75e=2-1.25e\qquad\text{subtract 6 from both sides}\\\\0.75e=-4-1.25e\qquad\text{add 1.25e to both sides}\\\\2e=-4\qquad\text{divide both sides by 2}\\\\\boxed{e=-2}

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Step-by-step explanation:

(x - 2)(2x + 3)

=2x²+3x-4x-6

=2x²-x-6

8 0
3 years ago
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Determine if the following infinite series converges or diverges
Mandarinka [93]

Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.

<h3>How do we verify if a sequence converges of diverges?</h3>

Suppose an infinity sequence defined by:

\sum_{k = 0}^{\infty} f(k)

Then we have to calculate the following limit:

\lim_{k \rightarrow \infty} f(k)

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In this problem, the function that defines the sequence is:

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Hence the limit is:

\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0

Hence, the infinite sequence converges, as the limit does not go to infinity.

More can be learned about convergent sequences at brainly.com/question/6635869

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6 0
1 year ago
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Which equation below represents a line with a slope of - 2/3 that passes through the point (-4.5 , 10)?
Lostsunrise [7]

Answer:

Option C

Step-by-step explanation:

If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.  

Let's try this with option C. To make things easier, convert -4.5 into decimal form: -4\frac{1}{2}. Substitute -4\frac{1}{2} for x and 10 for y in the equation, then solve:  

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10 does equal 10, so this is a true statement. Option C is the right answer.

8 0
2 years ago
What is the anwser for 7x−x
11Alexandr11 [23.1K]

Answer:

6x

Step-by-step explanation:

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6x

8 0
3 years ago
How many different orders can three students be selected from 10?
KATRIN_1 [288]
That would be the number of permutations of 3 from 10.

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