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Olegator [25]
3 years ago
12

Solve 3x+9 so it has no solution.

Mathematics
1 answer:
Serjik [45]3 years ago
5 0

Answer:

x = -3

Step-by-step explanation:

<em>I hope you mean "no solution" as in 'equal to zero' because that's what I'm doing and what makes sense.</em>

<em>Start by setting the equation equal to zero.</em>

3x + 9 = 0

<em>Subtract the </em><em>9</em><em> from both sides to move it to the right side.</em>

3x = -9

<em>Divide the </em><em>3</em><em> from both sides to isolate the </em><em>x.</em>

x = -3

<em>We can check that </em><em>x = -3</em><em> is the correct answer by plugging it in and seeing if it equals </em><em>zero</em><em>.</em>

3(-3) + 9

-9 + 9

0

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Which of the following expressions are equivalent to 3(4h + 2k) ?
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Answer:

B, C, and D are all equivalent to 3(4h+2k)

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We use the distributive property to say 3(4h+2k)=12h+6k

"A" distributes to 12k+6h

"B" distributes to 12h+6k

"C" distributes to 6k+12h (associative property works)

"D" is already distributed to 12h+6k

So A is wrong, and B, C, and D are right

Hope this made sense!

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Using the t-distribution, as we have the standard deviation for the sample, we have that the test statistic is given by:

t = \frac{-20 - 0}{\sqrt{\frac{32.66}{7}}}

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is no difference, that is:

H_0: \mu = 0

At the alternative hypothesis, it is tested if there is a difference, that is:

H_1: \mu \neq 0

<h3>What is the test statistic?</h3>

The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • s is the standard deviation of the sample.
  • n is the sample size.

In this problem, \mu = 0 is tested at the null hypothesis, and the sample is: 20, -40, -40, 0, 20, - 60, -40, hence:

\overline{x} = -20, s = \sqrt{32.66}, n = 7.

Hence, the test statistic is:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{-20 - 0}{\frac{\sqrt{32.66}}{\sqrt{7}}}

t = \frac{-20 - 0}{\sqrt{\frac{32.66}{7}}}

More can be learned about the t-distribution at brainly.com/question/16313918

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