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arsen [322]
3 years ago
14

2(x - 3) + 5x ≤ 9x - 14

Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0

Answer:

x > 4

Step-by-step explanation:

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Can someone give me the answers and step by step instructions please??
professor190 [17]

Answer:

-1,4,-7,10,...  neither

192,24,3,\frac{3}{8},...  geometric progression

-25,-18,-11,-4,...  arithmetic progression

Step-by-step explanation:

Given:

sequences: -1,4,-7,10,...

192,24,3,\frac{3}{8},...

-25,-18,-11,-4,...

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For -1,4,-7,10,...:

4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)

Hence,the given sequence does not form an arithmetic progression.

\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}

Hence,the given sequence does not form a geometric progression.

So, -1,4,-7,10,... is neither an arithmetic progression nor a geometric progression.

For  192,24,3,\frac{3}{8},... :

\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For -25,-18,-11,-4,... :

-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

3 0
4 years ago
1+3x=x+9 solve for x.. Help?
anzhelika [568]

Answer: <em>x=4</em>

Step-by-step explanation:

<em>1+3x=x+9</em>

<em>   -x  -x</em>

<em>1+2x=9</em>

<em>-1      -1</em>

<em>2x=8</em>

<em>Divide by 2 on each side</em>

<em>Final result</em>

<em>x=4</em>

7 0
3 years ago
Which number has the least absolute value?
8090 [49]
A.

Explanation: The bigger the negative number, the lower the number actually is.
4 0
3 years ago
The perimeter of an equilateral triangle is 114mm. <br> State the length of one of its sides
spin [16.1K]

Answer:

Since an equilateral triangle has all three side equal then one of its side is 38mm

8 0
3 years ago
Here is Laila’s graph from the previous screen.
lidiya [134]

Answer:

y=-1/3x+8

Step-by-step explanation:

There is no need for any specific answers, but here is one that could logically work out. Since the graph is going left/down, it has a negative slope, so -1/3 would be reasonable. The graph doesn't cross the origin and crosses above it, so this equation must have a positive 'b' value. In this case, I chose 8. y=-1/3+8 could represent Laila's graph.

4 0
3 years ago
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