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yulyashka [42]
3 years ago
15

2x+y=x-y-3=6 What is x&y???? Please answer asap!!!!

Mathematics
1 answer:
Mariana [72]3 years ago
8 0
2x + y = x - y - 3 = 6
Add 3 to everything
2x + y + 3 = x - y - 3 + 3 = 6 + 3
2x + y + 3 = x - y = 9
2x + y + 3 = 9 
2x + y = 6 = x - y 
Add y to everything
2x + 2y = 6 + y = x
Since x = 6 + y substitute every x with 6 + y
2(6 + y) + 2y = x
12 + 4y = x

This is as simplified as I can get and then just place 12 + 4y into every x in the original problem then solve

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What is the product of 6 1/2 and <br>9 1/4​
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▹ Answer

<em>60 1/8 or 481/8</em>

<em> </em>

▹ Step-by-Step Explanation

6 \frac{1}{2} * 9 \frac{1}{4} \\\\= \frac{13}{2} * \frac{37}{4} \\\\= \frac{481}{8} \\\\= 60\frac{1}{8} or \frac{481}{8}

Hope this helps!

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3 years ago
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19 13 15 6 17 21 16 18 11 10 11 16 20 6 18 12 6 20 13 13 7 20 14 21 11 3 9 18
hoa [83]

Answer:

13.08

Step-by-step explanation:

19 +13+ 15+ 6+ 17+ 21+ 16+ 18+ 11+ 10+ 11+ 16+ 20+ 6 +18 +12 +6 +20+ 13+ 13+ 7+ 20+ 14+ 21+ 11+ 3 +9 +18+12 +14+ 6 +11 +5 +18+ 8

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8 0
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An important assumption underlying inferences from a linear regression is that variance in the response variable is reasonably c
rewona [7]

Answer:

A. True

Step-by-step explanation:

Linear regression is "an analysis that assesses whether one or more predictor variables explain the dependent (criterion) variable.  The regression has five key assumptions:

1) Linear relationship : We need to check if the dependnet variable present a linear relationshipThe linearity assumption can best be tested with scatter plots in order to check if we have outliers in the data.

2) Multivariate normality : "The linear regression analysis requires all variables to be multivariate normal".  And we can check this with a histogram or a Q-Q-Plot, usually Normality can be checked with a goodness of fit test like the Kolmogorov-Smirnov test or Shapiro Wilks test.

3) No or little multicollinearity : "Multicollinearity occurs when the independent variables are too highly correlated with each other". And we can check this with a correlation matrix, variance inflation factor (VIF's), correlation index and other statistics.

4) No auto-correlation : The "Autocorrelation happens when the residuals are not independent from each other in the data". And usually we can test this with the Durbin-Watson test.

5) Homoscedasticity: MEans that we need constant variance for the linear model. The scatter plot is good way to check whether the data are homoscedastic. And we can interpret this condition as "that variance in the response variable is reasonably consistent across the range of an explanatory factor (otherwise known as homoscedasticity)"

So then the statement is TRUE.

5 0
3 years ago
What’s a complex conjugate in math
goldenfox [79]

Answer:


Step-by-step explanation:

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. For example, the complex conjugate of 3 + 4i is 3 − 4i. In polar form, the conjugate of is.

3 0
3 years ago
What is the equation, in slope-intercept form, of the line
Sati [7]

<u>Given</u>:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

<u>Slope of the given line:</u>

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the coordinates (-1,3) and (2,2), we get;

m_1=\frac{2-3}{2+1}

m_1=-\frac{1}{3}

Thus, the slope of the given line is m_1=-\frac{1}{3}

<u>Slope of the perpendicular line:</u>

The slope of the perpendicular line can be determined by

m_2=-\frac{1}{m_1}

Substituting m_1=-\frac{1}{3}, we get;

m_2=-\frac{1}{-\frac{1}{3}}

simplifying, we get;

m_2=3

Thus, the slope of the perpendicular line is 3.

<u>Equation of the perpendicular line:</u>

The equation of the perpendicular line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting m=3 and the point (2,-1) in the above formula, we have;

y+1=3(x-2)

y+1=3x-6

     y=3x-7

Thus, the equation of the perpendicular line is y=3x-7

Hence, Option d is the correct answer.

3 0
3 years ago
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