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Zolol [24]
3 years ago
5

Graph the system of equations on graph paper.

Mathematics
1 answer:
gladu [14]3 years ago
3 0
The first thing you should observe in the graph is that
 6x + 4y = 24 is a line with a negative slope.
 2x-4y = -8 is a line with positive slope.
 After you identify the functions you can choose the correct affirmations.
 The x-coordinate of the solution is 2.
 The y-coordinate of the solution is 3.
 The ordered pair that is the solution to the system lies in Quadrant I.

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- 2/5(20x -15) can you plz help me
Alex17521 [72]

Answer:

Step-by-step explanation:

First I just made -2/5 into a decimal because I like to work with decimals better (which equals -.4)

Then I times everything separately in the parenthesis and got -8x+6

Next you move the 6 over to the left side of the equals sign which would make the equation be -6 = -8x

Lastly you divide the -8 from -6 and you get X = 3/4

7 0
2 years ago
Read 2 more answers
What is the equation of the best-fitting regression line? Find this in two ways. First, using the regression analysis part of th
Lemur [1.5K]

Step-by-step explanation:

Regression analysis is used to infer about the relationship between two or more variables.

The line of best fit is a straight line representing the regression equation on a scatter plot. The may pass through either some point or all points or none of the points.

<u>Method 1:</u>

Using regression analysis the line of best fit is: y=\alpha +\beta x+e

Here <em>α </em>= intercept, <em>β</em> = slope and <em>e</em> = error.

The formula to compute the intercept is:

\alpha =\bar y-\beta \bar x

Here<em> </em>\bar y and \bar x are mean of the <em>y</em> and <em>x</em> values respectively.

\bar y=\frac{\sum y_{i}}{n} \\\bar x=\frac{\sum x_{i}}{n}

The formula to compute the slope is:

\beta =\frac{\sum (x-\bar x)(y - \bar y)}{\sum (x=\bar x)^{2}}

And the formula to compute the error is:

e=y-\alpha -\beta x

<u>Method 2:</u>

The regression line can be determined using the descriptive statistics mean, standard deviation and correlation.

The equation of the line of best fit is:

(y-\bar y)=r\frac{\sigma_{x}}{\sigma_{y}} (x-\bar x)

Here <em>r</em> = correlation coefficient = r=\frac{Cov (x,y)}{\sqrt{\sigma^{2}_{x}\sigma^{2}_{y}} }

\sigma_{x} and \sigma_{y} are standard deviation of <em>x</em> and <em>y</em> respectively.

\sigma_{x}=\frac{1}{n}\sum (x-\bar x)^{2} \\\sigma_{y}=\frac{1}{n}\sum (y-\bar y)^{2}

3 0
3 years ago
Write an equation that has x=3 as a solution
Damm [24]

Answer:

(3x + 5)/2 = 7

Step-by-step explanation:

If you substitute 3 for x, you get the equation:

(3(3) + 5)/2 = 7

(9 + 5)/2 = 7

14/2 = 7

8 0
3 years ago
Read 2 more answers
What is a way to use the properties of similar triangles to find measurements
muminat
Use proportions and use letters for unknown measurements 
8 0
2 years ago
Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool. If it takes 30 minutes for the la
Anuta_ua [19.1K]

Answer:

60 minutes for the larger hose to fill the swimming pool by itself

Step-by-step explanation:

It is given that,

Working together, it takes two different sized hoses 20 minutes to fill a small swimming pool.

takes 30 minutes for the larger hose to fill the swimming pool by itself

Let x be the efficiency to fill the swimming pool by larger hose

and y be the efficiency to fill the swimming pool by larger hose

<u>To find LCM of 20 and 30</u>

LCM (20, 30) = 60

<u>To find the efficiency </u>

Let x be the efficiency to fill the swimming pool by larger hose

and y be the efficiency to fill the swimming pool by larger hose

x = 60/30 =2

x + y = 60 /20 = 3

Therefore efficiency of y = (x + y) - x =3 - 2 = 1

so, time taken to fill the swimming pool by small hose = 60/1 = 60 minutes

8 0
3 years ago
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