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Yuki888 [10]
3 years ago
6

Choose the graph that matches the following system of equations:

Mathematics
2 answers:
V125BC [204]3 years ago
6 0
It's the lasts graph it intersects at 0,-3
Ugo [173]3 years ago
3 0

Answer:

(4) graph is correct.

Step-by-step explanation:

Given: the following system of equations:

7x + 2y = −6

6x − 7y = 21

We have to choose the correct graph for the given  system of equations.

Consider the given system of equations:

7x + 2y = −6   .....(1)

6x − 7y = 21        .........(2)

Multiply (1) by 7 and (2) by 2 , we have,

( 7x + 2y = -6 ) × 7 , we have,

49x + 14y = - 42 ........(3)

( 6x − 7y = 21 ) × 2  , we have,

12x − 14y = 42  .............(4)

Add (3) and (4) , we have,

49x + 14 y  + (12x - 14y)= - 42 + 42

49x + 12x = 0

x = 0

Put in (1) , we have,

7(0) + 2y = −6   ⇒ 2y = -6 ⇒ y = -3

Thus,  (0, -3)  is the solution.

So, (4) graph is correct.

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The first answer.

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3 years ago
Kris wanted to understand whether students at her school were in favor of an extended school day. She surveyed some students and
puteri [66]

the table below:

Grade        In favor   Opposed Undecided    Total

Grade 9     6                   4                       8                18

Grade 10     10         11                        9                30

Grade 11     12        15                      11                  38

Grade 12     15        6                      14                  35

If the principal randomly selects a student in grade 10 from this survey,

the probability that the student is opposed to extending the school day

P ( student in grade 10 is opposed)= Number of student in opposed(grade10) / total number of students in grade 10

Number of student opposed who is in grade10 = 11

total number of students in grade 10 = 30

P( student in grade 10 is opposed)=  \frac{11}{30}

= 0.37

the probability that the student is opposed to extending the school day= 0.37

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3 years ago
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nirvana33 [79]

Answer:The reason there is no commutative property for subtraction or division is because order matters when performing these operations.

Step-by-step explanation:

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