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prohojiy [21]
2 years ago
6

Solve for i. 3 - 4j > 7

Mathematics
2 answers:
Zepler [3.9K]2 years ago
4 0

Answer:

j<-1

Step-by-step explanation:

there's no i so im assuming you mean solve for j

3-4j>7

subtract 3 from both sides

-4j>4

divide by -4

j<-1

(sign switches when dividing by a negative)

Zinaida [17]2 years ago
3 0

Answer:

j < -1

Step-by-step explanation:

Question:

"Solve for j.

3 - 4j > 7"

Subtract 3 from both sides.

-4j > 4

Divide both sides by -4. Remember that when you multiply or divide an inequality by a negative sign, the inequality sign changes direction.

-4j/-4 < 4/-4

j < -1

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Help me with this 1,2,3. For each sequence, Determine with whether it appears to be arithmetic If it does find a common differen
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Problem 1

<h3>Answer: Arithmetic, common difference = -4</h3>

-------------------

Explanation:

Pick any term of the sequence, and subtract off the previous term to find that,

  • term2 - term1 = -12 - (-8) = -12 + 8 = -4
  • term3 - term2 = -16 - (-12) = -16 + 12 = -4
  • term4 - term3 = -20 - (-16) = -20 + 16 = -4

Each time we get the same result, so that means we have an arithmetic sequence with common difference -4

This indicates that adding -4 to each term, or subtracting 4 from each term, will generate the next one.

Eg: term2 = term1 - 4 = -8-4 = -12.

==========================================================

Problem 2

<h3>Answer: Arithmetic, common difference = 5</h3>

-------------------

Explanation:

Similar to problem 1, this sequence is also arithmetic because we add on 5 to each term to get the next one

  • -6+5 = -1
  • -1+5 = 4
  • 4+5 = 9

Or you could subtract adjacent terms as done in problem 1, to find that the common difference is 5.

==========================================================

Problem 3

<h3>Answer: Not arithmetic</h3>

-------------------

Explanation:

Unlike the previous two problems, this sequence is not arithmetic.

We can see that

  • term2 - term1 = 12 - 3 = 9
  • term3 - term2 = 48 - 12 = 36

The gaps of 9 and 36 aren't the same. We need the same common difference between any adjacent terms to have an arithmetic sequence.

This sequence is instead geometric because

  • term2/term1 = 12/3 = 4
  • term3/term2 = 48/12 = 4
  • term4/term3 = 192/48 = 4

Each quotient is 4, showing the common ratio is 4. To find the next term, we multiply the current term by 4. So the next term after 192 would be 4*192 = 768, then 4*768 = 3072 is next, and so on.

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Step-by-step explanation:

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