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Stolb23 [73]
3 years ago
7

Write a proof for the conjecture using the contrapositive. If 5x + 7 = -13, then x = -4.

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer:

ans x=4

Step-by-step explanation:

  • 5x + 7 = -13
  • 5x = -13 -7
  • 5x= -20
  • x = -20/5
  • x = -4
  • so the answer is x= -4
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Answer:

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Step-by-step explanation:

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The answer to this question is 11-14 is -3
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At the local grocery store, cans of beans are arranged in rows. The number of cans in each row forms an arithmetic sequence. The
Elodia [21]
In an arithmetic series, the value of the nth term is calculated using the equation,
                                  an = ao + (n - 1)(d)
where an and ao are the nth and the 1st term, respectively. d is the common difference, and n is the number of terms.

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Could I have some help on my patterns assignment​
nydimaria [60]

Answer:

1. 13, 18, 23, 28, 33, 38, 43, 48, 53

<em>Conjecture:</em> Each term is 5 more than the previous term.

2. 512, 256, 128, 64, 32, 16, 8, 4, 2

<em>Conjecture:</em> Each term is half of the previous term.

3. 1, 8, 27, 64, 125, 216, 343, 512, 729

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5. <u><em>Correct as is</em></u>

6. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89

<em>Conjecture:</em> Each term is the sum of the 2 previous numbers.

Step-by-step explanation:

1.

Given: 13, 18, 23, 28

<em>We add 5 to each number</em>

13 + 5 = 18

18 + 5 = 23

23 + 5 = 28

28 + 5 = 33

33 + 5 = 38

38 + 5 = 43

43 + 5 = 48

48 + 5 = 53

2.

Given : 512, 256, 128, 64

<em>Divide each number by 2</em>

512 ÷ 2 =256

256 ÷ 2 = 128

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

16 ÷ 2 = 8

8 ÷ 2 = 4

4 ÷ 2 = 2

3.

Given: 1, 8, 27, 64

<em>We have to cube n:</em>

<u><em>n³ = consecutive number cubed</em></u>

<u><em></em></u>

1³ = 1 or 1 × 1 × 1

2³ = 8 or 2 × 2 × 2

3³ = 27 or 3 × 3 × 3

4³ = 64 or 4 × 4 × 4

5³ = 125 or 5 × 5 × 5

6³ = 216 or 6 × 6 × 6

7³ = 343 or 7 × 7 × 7

8³ = 512 or 8 × 8 × 8

9³ = 729 or 9 × 9 × 9

4.

Consecutive prime number: <u><em>Consecutive prime numbers are those that have no gaps or prime numbers between them.</em></u>

Look at the picture in the link:

6.

Given: 1, 1, 2, 3, 5, 8

<em>We must add the two previous numbers to get the next term:</em>

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

3 + 5 = 8

5 + 8 = 13

8 + 13 = 21

13 + 21 = 34

21 = 34 = 55

34 + 55 = 89

8 0
1 year ago
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Alexeev081 [22]

Answer:

x = 6 or x = -7

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + x - 42 = 0

The left hand side factors into a product with two terms:

(x - 6) (x + 7) = 0

Split into two equations:

x - 6 = 0 or x + 7 = 0

Add 6 to both sides:

x = 6 or x + 7 = 0

Subtract 7 from both sides:

Answer: x = 6 or x = -7

3 0
3 years ago
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