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ikadub [295]
3 years ago
15

Solve x/9 - 1/3 = -5/3. The solution of x is:

Mathematics
2 answers:
kenny6666 [7]3 years ago
6 0

Answer: x=-12

<u>Simplify both sides of the equation</u>

<u />1/9x+-1/3=-5/3<u />

<u />

<u>Add 1/3 to both sides</u>

<u />1/9x+-1/3+1/3=-5/3+1/3<u />

<u />1/9x=-4/3<u />

<u />

<u>Multiply both sides by 9</u>

<u />9*(1/9x)=9*(-4/3)<u />

<u />

Final Answer: x=-12

myrzilka [38]3 years ago
6 0

Answer:

Step-by-step explanation:

\frac{x}{9}-\frac{1}{3} =\frac{-5}{3}\\\\\frac{x}{9}=\frac{-5}{3}+\frac{1}{3}\\\\\frac{x}{9}=\frac{-5+1}{3}\\\\\frac{x}{9}=\frac{-4}{3}\\\\x=\frac{-4}{3}*9\\\\x=-4*3\\\\x=-12

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ra1l [238]

Answer:

(-6,1)   (2,7)

Step-by-step explanation:

y =x+5

y = x^2 +5x-7

Set the two equations equal since y=y

x+5 =  x^2 +5x -7

Subtract x from each side

x-x+5 =  x^2 +5x-x -7

5 = x^2 +4x -7

Subtract 5 from each side

5-5 = x^2 +4x -7-5

0 = x^2 +4x-12

Now we can factor the right side

What 2 numbers multiply to -12 and add to +4

6*-2 =-12

6-2 =4

0 = (x+6) (x-2)

Using the zero product property

x+6=0    x-2=0

x=-6   x=2

We need to find y for each value of x

y = x+5           y = x+5

y = -6+5            y = 2+5

y =1                 y = 7

4 0
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.

As

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.

As

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

     {\displaystyle F_{n}=F_{n-1}+F_{n-2}}

for n > 1.

<em>Keywords: sequence, arithmetic sequence, geometric sequence, exponential sequence</em>

<em>Learn more about sequence from brainly.com/question/10986621</em>

<em>#learnwithBrainly</em>

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