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kodGreya [7K]
1 year ago
8

Which of these correctly explains the solution of the system of equations shown

Mathematics
1 answer:
borishaifa [10]1 year ago
8 0

The solution of the system of equations is the point (-6, 6), so the correct option is B.

<h3>Which statements are correct about the system of equations?</h3>

Here we have the system of equations:

2x + 3y = 6

x + 3y = 12

First, let's write these two lines in the slope-intercept form:

y = (6 - 2x)/3 = 2 - (2/3)*x

y = (12 - x)/3 = 4 - (1/3)*x

Now, because "y" is the represents the same variable in both equations, we can write:

2 - (2/3)*x = y = 4 - (1/3)*x

Now we can solve that for x.

2 - (2/3)*x =  4 - (1/3)*x

2 - 4 = (2/3)*x - (1/3)*x

-2 = (1/3)*x

3*(-2) = x = -6

Now, to get the y-value of the solution we can evaluate any of the two lines in x = -6, evaluating the first we get:

y =  4 - (1/3)*x = 4 - (1/3)*(-6) = 4 + 2 = 6

Then the solution of the system is the point (-6, 6). Then the correct statement is B:

"The values of x= -6 and y= 6 satisfy both the equations; therefore, (-6, 6) is the solution."

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

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To find the price of the treadmill, you can calculate the amount you will pay after each day and then multiply by the percentage that you will pay for each additional day.

You should use 85% (100% - 15%) as the part you will pay for a quicker calculation.

$4000 x 0.85 = $3400 (after the first day)
$3400 x 0.85 = $2890 (after the second day)
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<span>If the price of the treadmill yesterday was $4000, what will be the price of the treadmill 2 days from now?  I interpreted this as the discount would be applied for 3 days.</span>
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jada surveyed all the 7th and 8th graders at her school abouth whether they had pets. Complete the missing entries in this two w
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Here is the completed table:

                               Has pet     Has no pet      Total

7th grade                102            48                       150

8th grade                107            68                      175  

Total                          209           116                     325

<h3>What is a two-way table?</h3>

A two way table is used to show the frequency of two categorical variables. Information are usually presented in rows and columns.

  • The 7th grade students that have no pets = 150 - 102 = 48
  • The 8th grade students that have pets = 175 - 68 = 107
  • Total students that have pets = 102 + 107 = 209
  • Total students that have no pets = 48 + 68 = 116
  • Total = 209 + 116 = 325

Please find attached the table. To learn more about addition, please check: brainly.com/question/19628082

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state whether the following statement is true or false: y= -x2 + 6x - 10 does not intersect the x-axis.​
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Answer:

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Step-by-step explanation:

Here, we want to check if the given equation does not intersect the x-axis

if it does not, then it has no real root

If the discriminant is less than zero, then it has no real roots and does not intersect the x-axis

The formula for the discriminant is;

D = b^2-4ac

In the question;

a = -1 , b = 6 , c = 10

so;

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D = 36-40

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