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sergey [27]
4 years ago
10

How would I graph these equations? a. 2x + 3y = 12 b. x = 7

Mathematics
1 answer:
riadik2000 [5.3K]4 years ago
3 0
These are 2 very different equations, and should be graphed very differently.

<u>A
</u>
<u /><u />For Part A, we must first put this in Slope Intercept Form (SIF), which is y=mx+b where "m" is the slope and "b" is the y-intercept. To do this, we should solve like a normal equation for y.

 2x+3y=12
-2x       -2x
 3y=-2x+12
 /3        /3
y=-2/3x+4

Now that we have the proper equation, it is simply to graph! We should simply make a point at (0, 4), and then go down 2, right 3 until you are satisfied with your line.

<u>B
</u>
Part B is a simple x value, which means you will draw a vertical line through 7 on the x-axis.

Below I have attached a clearly labeled graph that shows you examples of these lines. The red markings indicate x=7. The yellow circle shows you the y-intercept in Part A, while the yellow dots show you the slope in Part A.

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The following data are from an experiment designed to investigate the perception of corporate ethical values among individuals w
alukav5142 [94]

Answer:

Part 1

a. Sum of Squares, Treatment= 61

b. Sum of Squares, Error= 7.5

c. Mean Squares, Treatment = 30.5

d. Mean Squares, Error= 0.5

2. the F value lies in the rejection region > 3.6823

3. The value of the test statistic = 61

4. The p-value is < 0.00001

5. Conclusion

Since p-value < α, H0 is rejected.

6. Between x`2 and x`3

7. Fisher's Least Significant Difference value almost 0.869

8.There is a significant difference between the means

Step-by-step explanation:

Summary of Data

                       <u>   Treatments</u>

                       1             2             3                 Total

n                      6             6             6                   18

∑x                   42          57           30                  129

Mean              7            9.5           5                  7.167

<u>∑x2              298         543        152                    993</u>

<u>Sd.D       0.8944     0.5477     0.6325           2.0073</u>

ANOVA Table

<u>Source                                  SS              df                  MS </u>

Between-treatments           61              2                   30.5       F = 61

<u>Error                                     7.5           15                     0.5 </u>

<u>Total                                     6             8.5                     17 </u>

a. Sum of Squares, Treatment= 61

b. Sum of Squares, Error= 7.5

c. Mean Squares, Treatment = 30.5

d. Mean Squares, Error= 0.5

2. Using alpha= 0.05 the F value lies in the rejection region i.e F > 3.6823

x1` -x2`= 7-9.5= -2.5 Not significant as difference <3.68

x1`- x3`= 7-5= 2 Not significant as difference <3.68

x2` -x3`= 9.5-5= 4.5 Significant as difference > 3.68

3. The value of the F test statistic = 61

4. The p-value is < 0.00001

5. Conclusion

<em>Since p-value < α, H0 is rejected.</em>

6. Using alpha= .05, differences occurs between x2` and x3` as their difference is greater than 3.68

7. Fisher's Least Significant Difference value almost 0.869

Least Significant Difference= t( 0.025,15) √2s²/r s²= 0.50 r= 6 =n1=n2=n3

Least Significant Difference= 2.13 √ 2*0.50/ 6

=0.869

8.There is a significant difference between the means

x1` -x2`= 7-9.5= -2.5 Significant as difference > Least Significant Difference

x1`- x3`= 7-5= 2 Significant as difference > Least Significant Difference

x2` -x3`= 9.5-5= 4.5 Significant as difference > Least Significant Difference

6 0
3 years ago
How do you do decrease 280 by 95% 
stealth61 [152]
95% = 0.95

280 - (280 * 0.95)
7 0
3 years ago
Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.. Hank is driving a boat at 26.4 mph and is
lesya692 [45]

Answer:

C

Step-by-step explanation:

C

6 0
3 years ago
What value of x makes this equation true? 0.6x − 5 = 0.1x + 7
Natali5045456 [20]

Answer: x=24

Step-by-step explanation:Simplifying

0.6x + -5 = 0.1x + 7

Reorder the terms:

-5 + 0.6x = 0.1x + 7

Reorder the terms:

-5 + 0.6x = 7 + 0.1x

Solving

-5 + 0.6x = 7 + 0.1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.1x' to each side of the equation.

-5 + 0.6x + -0.1x = 7 + 0.1x + -0.1x

Combine like terms: 0.6x + -0.1x = 0.5x

-5 + 0.5x = 7 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0

-5 + 0.5x = 7 + 0.0

-5 + 0.5x = 7

Add '5' to each side of the equation.

-5 + 5 + 0.5x = 7 + 5

Combine like terms: -5 + 5 = 0

0 + 0.5x = 7 + 5

0.5x = 7 + 5

Combine like terms: 7 + 5 = 12

0.5x = 12

Divide each side by '0.5'.

x = 24

Simplifying

x = 24

6 0
4 years ago
Read 2 more answers
What is the equation of the line that passes through the point (-6,3) and has a slope of -2/3?​
Vesnalui [34]

Answer:

y = -\frac{2x}{3} - 1  

I hope this helps!

5 0
3 years ago
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