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Gre4nikov [31]
3 years ago
8

The graph of the following system of equations is

Mathematics
2 answers:
maw [93]3 years ago
6 0

Answer:

They are the intersecting lines.

Step-by-step explanation:

We are given the graph of the system of linear equations:

−2x + y = 3


4x + 2y = 2

  • The lines overlap if the ordered vertices alternate between the two segments.
  • Since parallel lines never intersect, a system composed of two parallel lines will have NO solution (no intersection of the lines.)

so clearly on solving by method of elimination or by graphing the graph of these two system of equations have a unique solution i.e. the solution is the intersecting points of the two line.

The intersecting point is: (-0.5,2)

Hence, they are intersecting lines.

eimsori [14]3 years ago
3 0
The answer is <span>C. Intersecting lines</span>
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a trapezoid has base lengths of (6x-1) units and 3 units. Its midsegment has a length of (5x-3) units. What is the value of x?
vodka [1.7K]
1. You have that:

 - The<span> lengths of the bases are (6x-1) units and 3 units.
 - The midsegment has a length of (5x-3) units.

 2. To solve this exercise, you must apply the formula for calculate the length of the midsegment of a trapezoid, which is shown below:

 Midsegment=Base1+Base2/2

 As you can see, the midsegment is half the sum of the bases of the trapezoid.

 3. When you substitute the values, you obtain:

 (5x-3)=[(6x-1)+3]/2

 4. Now, you can solve the problem by clearing the "x":
</span>
 (5x-3)=[(6x-1)+3]/2
 2(5x-3)=6x-1+3
 10x-6=6x+2
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3 0
3 years ago
the mean of normally distributed test scores is 80 and the standard division is 5. If there are 186 test scores in the data samp
Marizza181 [45]

Answer:

63

Step-by-step explanation:

score 75 is one standard dev below the mean ====>to the mean  encompasses approx 34% of scores

.34 * 186 = 63

5 0
2 years ago
What is 14 divided by 1,050
yanalaym [24]
It is 0.0133
unless it is 1050 divided by 14 witch is 
75
4 0
3 years ago
Read 2 more answers
What is the volume of the rectangular prism shown?​
Yuliya22 [10]
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8 0
3 years ago
Suppose in this semester, our Exam 1 average was about 86 with an SD of about 10. Suppose the correlation between our Exam 1 and
Oduvanchick [21]

Answer:

the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492

And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688

Step-by-step explanation:

Given the data in the question;  

mean X" = 86

SD σx = 10

Y" = 76

SD σy = 8.2

r = 0.6

Here, Exam 2 is dependent and Exam 1 is independent.

The Regression equation is

y - Y" = r × σy/σx  ( x - x" )

we substitute

y - 76 = 0.6 × 8.2/10  ( x - 86 )

y  - 76 = 0.492( x - 86 )

y  - 76 = 0.492x - 42.312

y = 0.492x - 42.312 + 76

y = 0.492x + 33.688

Hence, the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492

And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688

4 0
3 years ago
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