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Alexxx [7]
3 years ago
9

Graph the systems of equations. {2x+y=8−x+2y=6

Mathematics
2 answers:
Vitek1552 [10]3 years ago
7 0

Answer:

Given system of equations are :

1). 2x + y = 8

2). -x + 2y = 6

Finding the intercepts of the equation (1) :

2x + y = 8

when x = 0 the y = 8

when y = 0 then x = 4

points are : (0,8) and (4,0)

Finding the intercepts of the equation (2) :

-x + 2y = 6

when x = 0 the y = 3

when y = 0 then x = -6

points are : (0,3) and (-6,0)

Hence, the required graphs of the given system of equation is attached below :

victus00 [196]3 years ago
5 0
Hi, I actually just took the test and got 100%

Remember: When plotting the points for this equation, make sure to always first plot the ones that correspond to the first linear equation, and then plot the ones that correspond to the second linear equation. 

The points on the line should be for the first linear equation, (4,0) and (8,0). I got this answer by first converting the linear equation, 2x+y=8 from standard form to slope-intercept form. To do this, I subtracted 2x from both sides of the equation. So now it reads as y=8-2x. After this step was completed, I then graphed my first linear equation.
The points on the line should be for the first linear equation, (2,4) and (6,6). 
I got this answer by first converting the linear equation, -x+2y=6 into slope-intercept form. To do this, I subtracted -x from both sides of the equation. Then I had to divide the 2 into both -x and 6. So now it reads as y= 6/2-x/2. After this step was completed, I then graphed my second and final linear equation.


I hope this helps!
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Ket [755]
Hi there,

No, it isn't

5x - 3 = 12
5x = 12 + 3
5x =15

Hence, X = 3

3 is the solution

Hope this helps :)
5 0
3 years ago
For simple linear regression, y = β0 + β1x + u, which one of the following statements is true?
RSB [31]

Answer:

Option a) u is called the "error term". It is the error we make in prediction

Option d) x is called the independent variable because x is independent from y and u.

Step-by-step explanation:

We are given the following information in the question:

y = \beta_0 + \beta_1x + u

where y is the dependent variable, x is the independent variable.

\beta_0: It is the value of y when x is zero, that is y-intercept.

\beta_1: It is the coefficient of x in predicting the dependent variable y.

u is the error term.

  • An error term represents the margin of error.
  • It refers to the sum of the deviations within the regression line, that is the difference between the predicted value and the observed value of y.

Thus, Option A) u is the error term and Option D)  x is called the independent variable because x is independent from y and u are the correct answer.

6 0
3 years ago
There is a line whose slope is 5 and whose y-intercept is 9 What is its equation in slope-intercept form
Wittaler [7]
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5 0
3 years ago
Soda Tak claims that Diet Tak has 40mg of sodium per can. You work for a consumer organization that tests such claims. You take
Mashutka [201]

Answer:

Z - score = 2.83

Step-by-step explanation:

Given the following :

Number of samples (N) = 60

Sample mean (x) = 41.9mg

Population mean (μ) = 40mg

Population standard deviation (sd) = 5.2

Using the relation :

Z = (x - μ) / (sd / √N)

Z = (41.9 - 40) / (5.2 / √60)

Z = 1.9 / (5.2 / 7.7459666)

Z = 1.9 / 0.6713171

Z = 2.8302570

Therefore, the z-score = 2.83

4 0
3 years ago
Find the greatest factor of 6w^3 and 10a^4
Anika [276]

Answer:2

Step-by-step explanation:

Greatest factor of 6w^4 10a^4

6w^4=2x3xw^4

10a^4=2x5xa^4

There greatest common factor is 2

6 0
3 years ago
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