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diamong [38]
3 years ago
9

The equation of a line is −6x−2y=−18.

Mathematics
2 answers:
dimulka [17.4K]3 years ago
7 0
The equation of the line is  -6x - 2y = -18.

At the x-intercept, the value of y is zero.
Therefore
-6x - 2(0) = -18
-6x = -18
x = -18/(-6) = 3

Answer: 3.
g100num [7]3 years ago
4 0
The x intercept should be 3
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Solve this equation:<br><br> α ÷ 6 + 4 = 16
Ilia_Sergeevich [38]
\alpha \div 6 + 4=  16\\\\Subtract ~4~on~both~sides\\\\ \alpha \div 6 +4 -4 = 16 -4\\\\ \alpha \div 6 = 16 - 4\\\\ \alpha \div 6 = 12\\\\Multiply~both~sides~by~6\\\\a \div 6\times 6 = 12\times 6\\\\ \alpha = 12\times 6 \\\\ \boxed{\bf{\alpha = 72}}

Your final answer is alpha = 72.
5 0
2 years ago
Read 2 more answers
Solve math thank you.
Masja [62]

Answer:

Put a picture of the whole thing

Step-by-step explanation:

5 0
2 years ago
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The number of motor vehicles registered in millions in the US has grown as follows:
zysi [14]

Answer:

a) Figure attached

b) r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=10 \sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274  

r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.819)^2][10(192.8274) -(43.5231)^2]}}=0.989  

So then the correlation coefficient would be r =0.989

Step-by-step explanation:

Previous concepts

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

Solution to the problem

Part a

Year (x): 1940, 1945 1950, 1955, 1960, 1965, 1970, 1975, 1980, 1985

Vehicles (Y): 32.4, 31.0, 49.2, 62.7, 73.9, 90.4, 108.4, 132.9, 155.8, 171.7

After apply natural log for the two variables and create the scatterplot in excel we got the following result on the figure attached.

Part b

And in order to calculate the correlation coefficient we can use this formula:  

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

For our case we have this:

n=10 \sum x = 75.819, \sum y = 43.5231, \sum xy = 330.0321, \sum x^2 =574.8598, \sum y^2 =192.8274  

r=\frac{10(330.0321)-(75.81948)(43.5231)}{\sqrt{[10(574.8598) -(75.81948)^2][10(192.8274) -(43.5231)^2]}}=0.989  

So then the correlation coefficient would be r =0.989

4 0
2 years ago
I need the answer for this asp.
TEA [102]

Answer:

This is Isosceles Right

Step-by-step explanation:

An Isosceles is a triangle that has two sides the same length and one side longer or shorter

An Right is an triangle with a 90˚

Hope this helps!

3 0
2 years ago
Read 2 more answers
An equation is shown below:
lisov135 [29]

Answer: x = 1

Step-by-step explanation:

5 ( 2x - 8 ) + 15 = -15 (write the equation)

5 ( 2x - 8 ) = -30 (subtract by 15 on both sides)

2x - 8 = -6 (divide by 5 on both sides)

2x = 2 (add 8 to both sides)

x = 1 (divide by 2 on both sides)

5 0
2 years ago
Read 2 more answers
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