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3 years ago

|3x|=9, solve absolute value equation

1 answer:

4 0

|3x|=9

3x=9 -3x=9
X=9/3 x=9/-3
x=3 x=-3

Whenever you have an absolute value sign you have to find both the positive and the negative because they didnt signs into the equation but sometimes a question will ask for strictly the positive value or the negative value but if its not stated, find both.

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lbvjy [14]

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3 years ago

20 times 70 equals? Please help, explain this to me.

Lady bird [3.3K]

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2 years ago

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If P is between L and A, PL = 6x + 24, PA = 12x - 6 and LA = 30x - 18, then x = ______ and LA = ___&&

levacccp [35]

To solve this problem, we have to use the definition of segment addition.

$LA=PL+PA$

Then, we replace the given expressions

$30x-18=6x+24+12x-6$

Now, we solve for <em>x</em>.

$\begin{gathered} 30x-6x-12x=24-6+18 \\ 12x=36 \\ x=\frac{36}{12} \\ x=3 \end{gathered}$ <h2>Hence, x = 3.</h2>

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10 months ago

Use the Ratio Test to determine whether the series is convergent or divergent. [infinity] n! 112n n = 1 Identify an. Correct: Yo

MakcuM [25]

Answer:

Step-by-step explanation:

Recall that the ratio test is stated as follows:

Given a series of the form $\sum_{n=1}^{\infty} a_n let L=\lim_{n\to \infty}\left|\frac{a_{n+1}}{a_n}\right|$

If L<1, then the series converge absolutely, if L>1, then the series diverge. If L fails to exist or L=1, then the test is inconclusive.

Consider the given series $\sum_{n=1}^{\infty} n! \cdot 112n$ . In this case, $a_n =n! \cdot 112n$ , so , consider the limit

$\lim_{n\to\infty} \frac{(n+1)! 112 (n+1)}{n! 112 n} = \lim_{n\to\infty}\frac{(n+1)^2}{n}$

Since the numerator has a greater exponent than the numerator, the limit is infinity, which is greater than one, hence, the series diverge by the ratio test

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3 years ago

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aleksandrvk [35]

Answer:

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Notice that the segment that joins the office store with the art gallery, has a length that equal the distance between the art gallery and the bank, plus the distance between the bank and the office supply store. That is;

32.1 mi + 9.9 mi = 42 mi

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3 years ago

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