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2 years ago

What is the solution 2/3 a +6 > 0

Mathematics

2 answers:

jeka57 [31]2 years ago

8 0

Answer:

Step-by-step explanation:

$\frac{2}{3} a + 6 > 0 \\ \frac{2}{3} a + 6 - 6 > 0 - 6 \\ \frac{2}{3} a > - 6 \\ \frac{2}{3} \times 3 \: \: a > - 6 \times 3 \\ 2a > - 18 \\ \frac{2a}{2} > \frac{ - 18}{2} \\ a > (- 9) \\$

RoseWind [281]2 years ago

3 0

Answer:

a > -9

subtract 6 from both sides to get 2/3 a > -6. Then multiply both sides by 3 to get 2a > -18. Last, divide both sides by 2 to get your answer: a > -9

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Mr. James McWhinney, president of Daniel-James Financial Services, believes there is a relationship between the number of client

vlada-n [284]

Answer:

$\sum_{i=1}^n x_i = 334$

$\sum_{i=1}^n y_i =611$

$\sum_{i=1}^n x^2_i =13970$

$\sum_{i=1}^n y^2_i =51581$

$\sum_{i=1}^n x_i y_i =26584$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=13970-\frac{334^2}{10}=2814.4$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=26584-\frac{334*611}{10}=6176.6$

And the slope would be:

$m=\frac{6176.6}{2814.4}=2.195$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{334}{10}=33.4$

$\bar y= \frac{\sum y_i}{n}=\frac{611}{10}=61.1$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.1-(2.195*33.4)=-12.213$

So the line would be given by:

$y=2.195 x -12.213$

Step-by-step explanation:

The data given on this case is:

x: 14,12,20,16,46,23,48,50,55,50

y: 24,24,28,30,80,30,90,85,120,110

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 334$

$\sum_{i=1}^n y_i =611$

$\sum_{i=1}^n x^2_i =13970$

$\sum_{i=1}^n y^2_i =51581$

$\sum_{i=1}^n x_i y_i =26584$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=13970-\frac{334^2}{10}=2814.4$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=26584-\frac{334*611}{10}=6176.6$

And the slope would be:

$m=\frac{6176.6}{2814.4}=2.195$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{334}{10}=33.4$

$\bar y= \frac{\sum y_i}{n}=\frac{611}{10}=61.1$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.1-(2.195*33.4)=-12.213$

So the line would be given by:

$y=2.195 x -12.213$

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igor_vitrenko [27]

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3 years ago

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ozzi

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

The output with the y being -4

aivan3 [116]

For this case we have a function of the form $y = f (x)$ , where $f (x) = - 4x$ . We must find the values of "and" according to the following function: $y = -4x$

So:

$f (-6) = - 4 (-6) = 24\\f (-2) = - 4 (-2) = 8\\f (3) = - 4 (3) = - 12$

Thus, the values are:

24,8, -12

Answer:

24,8, -12

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4 years ago

One hose can fill a pool in 12 hours. another hose can fill the same pool in 8 h

just olya [345]

Answer: 4.8 hours

Explanation:

One hose can fill a pool in 12 hours.
The other house can fill the same pool in 8 hours.

If they fill the pool together,
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3 years ago