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Shalnov [3]
3 years ago
5

Solve for x: −2x − 4 > 8 (2 points) Question 4 options: 1) x < −6 2) x > −6 3) x < −2 4) x > −2

Mathematics
1 answer:
FrozenT [24]3 years ago
3 0

Option 1: x<-6 is the right answer

Step-by-step explanation:

The inequalities are solved by isolating the variable on left side of the inequality.

Given

-2x-4>8

Adding 4 on both sides

-2x-4+4>8+4\\-2x>12

Dividing by 2 on both sides

\frac{-2x}{2}>\frac{12}{2}\\-x>6

The variable should not be negative.

Multiplying both sides by -1

-x>6\\=> x

Hence,

Option 1: x<-6 is the right answer

Keywords: Inequality, Variables

Learn more about inequalities at:

  • brainly.com/question/9527422
  • brainly.com/question/9214411

#LearnwithBrainly

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B. Translate each statement to an equation using k as the constant of variation.
-Dominant- [34]

Answer:

See Explanation

Step-by-step explanation:

To do this, we will make use of the following rules:

Direct Variation: a\ \alpha\ b => a = kb

Inverse Variation: a\ \alpha\ \frac{1}{b} ==> a = k/b

Joint Variation: a\ \alpha\ bc ==> a= kbc

Direct, then inverse variation: a\ \alpha\ b\ \alpha\ \frac{1}{c} ==> a= kb/c

Having highlighted the rules, the solution is as follows:

1. m varies directly to a

m\ \alpha\ a

m =ka

2. p varies inversely as q.

p\ \alpha\ \frac{1}{q}

p\ = k\frac{1}{q}

3. r\ varies directly as s and inversely as t.

r\ \alpha\ s\ \alpha\ \frac{1}{t}

r = k\frac{s}{t}

4. z varies jointly as e\ and\ f.

z\ \alpha \ ef

z = kef

5. F varies directly as the square\ of\ t.

F\ \alpha\ t^2

F = kt^2

6. d varies jointly r and t

d\ \alpha\ rt

d = krt

7. P is inversely proportional to h.

P\ \alpha\ \frac{1}{h}

P= \frac{k}{h}

8. P varies directly as V

P\ \alpha\ V

P=kV

9. d varies directly as the square of  t

d\ \alpha\ t^2

d = kt^2

10. s varies jointly as  b and d and inversely as the  square L

s\ \alpha\ bd\ \alpha\ \frac{1}{L^2}

s = k\frac{bd}{L^2}

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frozen [14]

Answer:

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Step-by-step explanation:


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Answer:

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So the slope is -2

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