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elena55 [62]
3 years ago
7

ILL GIVE BRAINLIEST TO FIRST ANSWER

Mathematics
2 answers:
kari74 [83]3 years ago
7 0

1)

-44 > -2x - 8 \geq -8 | \cdot(-1)\\44 < 2x + 8 \leq 8 | : 2\\22 < x + 4 \leq 4\\18 < x \leq 0 => x \in \emptyset

2)

-2x -8 > -44|\cdot(-1) \ \ -2x - 8 \geq -8|\cdot(-1)\\2x + 8 < 44 \ \ 2x + 8 \leq 8\\x < 18 \ \ x \leq 0 => x \in (-\infty, 0]

3)

-2x > -44 \ -8x \geq -8\\x < 22 \ \ x \leq 1 => (-\infty, 1]

4)

-2x - 8 < -44|\cdot(-1/2) \ \ -2x - 8 \leq -8|\cdot(-1/2)\\x + 4 > 22 \ \ x + 4 \geq 4\\x > 18 \ \ x \geq 0 => x \in (18, \infty)

5)

-2x - 8 < -44|\cdot(-1/2) \ \ -2x - 8 \geq - 8|\cdot(-1/2)\\x + 4 > 22 \ \ x + 4 \leq 4\\x > 18 \ \ x \leq 0, => x \in \emptyset

Simora [160]3 years ago
7 0

Answer:

The correct answer would be the last answer or d!

Step-by-step explanation:

If -2x-8 is less than -44 than -44 is greater than -2x-8. If -2x-8 is greater than or equal to -8 than it is still greater than or equal to -2x-8!

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A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more than the orange. What is the total weigh
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8 0
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1
olga nikolaevna [1]

Answer:

Fraction of the original board left = \frac{2}{15}

Step-by-step explanation:

Let the length of the board is = l feet

Marty saws off \frac{1}{5} of a wooden board.

Length of the board left = l - (\frac{1}{5})l

                                        = (\frac{4}{5})l feet

He saws off \frac{3}{4}th of the remaining board,

Board left = (\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})]

                = \frac{4}{5}l-\frac{3}{5}l

                = \frac{1}{5}l feet

He finally saws off \frac{1}{3}rd of the remaining board.

Board left = \frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l

                = (\frac{1}{5}-\frac{1}{15})l

                = \frac{2}{15}l feet

Fraction of the original board left = \frac{\frac{2}{15}l}{l}

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6 0
3 years ago
Write the following series in sigma notation.<br> 7 + 16 + 25 +34 +43 +52 + 61
Solnce55 [7]

The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series

The sigma notation of the series is: \sum\limits^7_{n=1} {9n - 2}

<h3>How to write the series in sigma notation?</h3>

The series is given as:

7 + 16 + 25 +34 +43 +52 + 61

The above series is an arithmetic series, with the following parameters

  • First term, a = 7
  • Common difference, d = 9
  • Number of terms, n = 7

Start by calculating the nth term using:

a(n) = a + (n - 1) * d

This gives

a(n) = 7 + (n - 1) * 9

Evaluate the product

a(n) = 7  - 9 + 9n

Evaluate the difference

a(n) = 9n - 2

So, the sigma notation is:

\sum\limits^7_{n=1} {9n - 2}

Read more about arithmetic series at:

brainly.com/question/6561461

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Use the order of operations to evaluate -(3 2) 2 + 4 * 3 - 2
rjkz [21]
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