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Veseljchak [2.6K]
3 years ago
6

Will give Brainlies!!! What is the y=mx+b of the equation 3x−2y=12

Mathematics
2 answers:
deff fn [24]3 years ago
8 0

Answer:

y=3/2x-6

Step-by-step explanation:

3x-2y=12

isolate the y:

-2y=-3x+12

get rid of the coefficient in front of y by dividing by -2

y=-3/-2x+12/-2

y=3/2x-6

andreyandreev [35.5K]3 years ago
3 0

Answer:

y=3/2x-6

Step-by-step explanation:

To find the y=mx+b you need to move the y on one side while moving the others on the other side

First, move the 3x to the other side by subtracting by 3x on both sides:

-2y=-3x+12

Divide by -2 on both sides:

y=3/2x-6

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Two distinct number cubes are rolled together. Each number cube has sides numbered 1 through 6.
bogdanovich [222]

Answer:

2/3

Step-by-step explanation:

8 0
3 years ago
Find all complex solutions of 7x^2-7x+3=0
Sedaia [141]

Answer:

The complex solutions are

x =  (\frac{7-\sqrt{35}  i }{42} , ) x =  \frac{7 + \sqrt{35} i }{42})

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equation  7 x² - 7 x +3=0

                     x =  (\frac{-b -\sqrt{b^{2}-4ac } }{2ac} ,  \frac{-b +\sqrt{b^{2}-4ac } }{2ac})

Given standard equation

                         a x² +b x +c =0

 a = 7 , b= -7 and c=3

<u><em>Step(ii):-</em></u>

<u><em></em></u>x =  (\frac{-(-7) -\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)} ,  \frac{-(-7) +\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)})<u><em></em></u>

<u><em></em></u>x =  (\frac{7-\sqrt{(49-84 } }{42} ,  \frac{7 +\sqrt{(49-84 } }{42})<u><em></em></u>

x =  (\frac{7-\sqrt{35i^{2} }  }{42} ,  \frac{7 + \sqrt{35i^{2} }  }{42})

x =  (\frac{7-\sqrt{35}  i }{42} ,  \frac{7 + \sqrt{35} i }{42})

<u><em></em></u>

8 0
2 years ago
Felix joins a local recreation center to play basketball.The recreation center charges a $20 annual fee, plus an additional $15
Sav [38]

Answer:

11 months

Step-by-step explanation:

185 - 20 = 165

165 ÷ 15 = 11

8 0
2 years ago
Because of staffing decisions, managers of the Gibson-Marion Hotel are interested in the variability in the number of rooms occu
olchik [2.2K]

Answer:

a) s^2 =30^2 =900

b) \frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}

567.28 \leq \sigma^2 \leq 1690.224

c) 23.818 \leq \sigma \leq 41.112

Step-by-step explanation:

Assuming the following question: Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in  the variability in the number of rooms occupied per day during a particular season of the  year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per  day and a sample standard deviation of 30 rooms

Part a

For this case the best point of estimate for the population variance would be:

s^2 =30^2 =900

Part b

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

The degrees of freedom are given by:

df=n-1=20-1=19

Since the Confidence is 0.90 or 90%, the significance \alpha=0.1 and \alpha/2 =0.05, the critical values for this case are:

\chi^2_{\alpha/2}=30.144

\chi^2_{1- \alpha/2}=10.117

And replacing into the formula for the interval we got:

\frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}

567.28 \leq \sigma^2 \leq 1690.224

Part c

Now we just take square root on both sides of the interval and we got:

23.818 \leq \sigma \leq 41.112

5 0
3 years ago
Get 20 points, Plz help me with this question, and give the right answer cause it's important
Aliun [14]

Answer:

B, C, and D

Step-by-step explanation:

Just some simple maths, look at it like railroad tracks and act it out as such, with lines a and b being parallel. Angle 6 is 75, Angle 1 is 105

5 0
2 years ago
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