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Papessa [141]
3 years ago
8

Determine if the system of equations has one solution, no solution or infinitely many solutions.

Mathematics
1 answer:
Paraphin [41]3 years ago
6 0

Answer:

x

=

0

y

=

−

2

Explanation:

simply subtract each term in the second equation from the first equation:

3

x

+

4

y

=

−

8

3

x

+

16

y

=

−

32

(

3

x

−

3

x

)

+

(

4

y

−

16

y

)

=

(

−

8

−

(

−

32

)

)

(

0

)

+

(

−

12

y

)

=

(

−

8

+

32

)

−

12

y

=

24

y

=

−

2

now use either original equation to solve for

x

:

3

x

+

4

y

=

−

8

3

x

+

4

(

−

2

)

=

−

8

3

x

−

8

=

−

8

3

x

=

0

x

=

0

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Use set notation to write the members of the following set, or state that the set has no members. Odd numbers between 2 and 82 t
adell [148]

Let the set of all Odd multiples of 9 between 2 and 82 be denoted by D, then, using set-builder notation,

D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}

The odd multiples of 9, m, in the range 2\le m \le 82 form the set

\{9,27,45,63,81\}

Each member of the set is a term of the arithmetic progression

U_n=18n+9

where the values of n range from 0 to 4, or 0\le n\le 4

Putting these facts together, we get the result

D=\{ 18n+9 \mid n \in \mathbb{N}, 0\le n\le 4 \}

Learn more about set-builder notation here: brainly.com/question/17238769

3 0
2 years ago
How much is a pie? thanks.
kaheart [24]
"Pi", written as π - is an irrational number.

π≈3.14
7 0
3 years ago
Read 2 more answers
10. The lengths of the electrical extension cords in a workshop are 6 ft, 8 ft, 25 ft, 8 ft, 12 ft, 50 ft, and 25 ft. What are t
Nadya [2.5K]
6 ft= 6x12in= 72 in.
8 ft= 8x12in= 96 in.
12ft=12x12in=144 in
25ft=25x12in=300 in
50ft=50x12in=600 in

72 in, 96 in, 96 in, 144 in, 300 in, 300 in, 600 in
Mean= (72+96+96+144+300+300+600)÷7
1608÷7 = 229.7 inches
Median=middle value in set = 144 inches
Mode= value(s) tha occur most often = 96 inches and 300 inches
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3 0
3 years ago
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Which equation has the same solution as x – 14x + 20 = 3?
zavuch27 [327]

Answer:

x=17

Step-by-step explanation:

3 0
2 years ago
What is the y-coordinate of the solution for the system of equations? x−y=−11 y+7=−2x
ICE Princess25 [194]

Answer:

y= 5

Step-by-step explanation:

Given the system of equations:

x-y=-11

y+7=-2x

In order to find the y coordinate of the solution we must first find the solution to this system of equations. We first start by solving one of the given equations and then substitute the answer of that into the second equation and further solve to get the final answers.

x=y=-11

y+7=-2x

y+7=-2x

+ -7

y = -2x - 7

x - y = -11

y = -2x-7

x-(-2x-7)=-11

x--2x=x+2x=3x

3x+7=-11

-7

-11+-7=-18

3x=-18

\div3

-18\div3=-6

x=-6

y=-2x-7

y=(-2)(-6)-7

-2\times-6=12-7=5

y=5

Hope this helps.

7 0
2 years ago
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