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3 years ago

Solve this system of equations using substitution. Put your answer in ordered pair form, (x, y).3x + 2y = 2 -2x + y = 8

1 answer:

3 0

-2x + y = 8
y = 2x + 8
now sub in 2x + 8 for y in the other equation
3x + 2y = 2
3x + 2(2x + 8) = 2...distribute the 2 thru the parenthesis
3x + 4x + 16 = 2
7x = 2 - 16
7x = - 14
x = -14/7
x = -2
now sub -2 in for x in either equation to find y
-2x + y = 8
-2(-2) + y = 8
4 + y = 8
y = 8 - 4
y = 4

solution is : (-2,4)

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3 years ago

What kind of sequence is the pattern 1, 6, 7, 13, 20, ...?

AlexFokin [52]

Answer:

The given sequence 6, 7, 13, 20, ... is a recursive sequence

Step-by-step explanation:

As the given sequence is

$6, 7, 13, 20, ...$

It cannot be an arithmetic sequence as the common difference between two consecutive terms in not constant.

$d = 7-6=1$ , $d = 13-7=6$

As d is not same. Hence, it cannot be an arithmetic sequence.

It also cannot be a geometrical sequence and exponential sequence.

It cannot be geometric sequence as the common ratio between two consecutive terms in not constant.

$r = 7-6=1$ , $r = 13-7=6$

$r = \frac{7}{6}$ , $r = \frac{13}{7}$

As r is not same, Hence, it cannot be a geometric sequence or exponential sequence. As exponential sequence and geometric sequence are basically the same thing.

So, if we carefully observe, we can determine that:

The given sequence 6, 7, 13, 20, ... is a recursive sequence.

Please have a close look that each term is being created by adding the preceding two terms.

For example, the sequence is generated by starting from 1.

${\displaystyle F_{1}=1$

and

$F_{n}=F_{n-1}+F_{n-2}$

for n > 1.

Keywords: sequence, arithmetic sequence, geometric sequence, exponential sequence

Learn more about sequence from brainly.com/question/10986621

#learnwithBrainly

6 0

3 years ago

These are the options (0,-5) (4,-2) (8,2) (-16,-17) (-1,-8) (-40,-34)

Liono4ka [1.6K]

All you need to do is plug in the points!

Here we go:

3(0)- 4(-5)-8

If it equals 12, then it is a point and an answer.

3(0)- 4(-5)-8= 12

(0,-5) is a point!

Next one:

3(4)-4(-2)-8

12+8-8
That equals twelve. (4,-2) is an answer as well!

I am going to quickly plug in the rest of the points, since I think you have the idea.
(8,2) 3(8)-4(2)-8= 8 This is not an answer.
(-16,-17) 3(-16)-4(-17)-8 = 12 This is answer.
(-1,-8) 3 (-1)-4(-8)-8= 21 This is not an answer.
(-40,-34) 3(-40)-4(-34)-8= 8 This is not an answer.

I hope this helped you!

Brainliest answer is always appreciated!

3 0

3 years ago

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