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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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Students were asked to name their favorite sport. Seven students chose soccer, nine chose basketball, four chose baseball, and f
timurjin [86]

Answer:

Total number of students= 7+ 9+4+5= 25

Tennis: total= 5:25= 1:5 (simplify by dividing both sides by 5

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3 years ago
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Find the value of x and thank for answer
lakkis [162]
The value for x is 102 degrees

First we can find the second value in the triangle by subtracting 141 from 180. This works because when added together these two angles come together to from a line (180 degrees) because this value is now known (39 degrees) we can subtract both from 180:

180-39-39= x = 102
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3 years ago
What is m∠A ? Enter your answer in the box. ° Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 deg
Allisa [31]

Answer: The measure of angle A is 60 degree.

Explanation:

It is given that the Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 degrees. Angle D is 35 degrees.

According to angle sum property, the sum of angles of a triangle is always 180 degree.

In triangle CDE,

\angle ECD+\angle CDE+\angle DEC=180^{\circ}

43^{\circ}+35^{\circ}+\angle DEC=180^{\circ}

78^{\circ}+\angle DEC=180^{\circ}

\angle DEC=180^{\circ}-78^{\circ}

\angle DEC=102^{\circ}

According to opposite vertical angle property.

\angle AEB=\angle DEC

\angle AEB=102^{\circ}

Use angle sum property is triangle ABE.

\angle ABE+\angle BEA+\angle EAB=180^{\circ}

\angle ABE+102^{\circ}+18^{\circ}=180^{\circ}

\angle ABE+120^{\circ}=180^{\circ}

\angle ABE=60^{\circ}

Therefore, the measure of angle A is 60 degree.

5 0
3 years ago
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a pool is being filled with a large water hose. the height of the water in a pool is determined by 7g^2+3g-4. Previously the poo
ArbitrLikvidat [17]

If both the hoses are on the same time then the height of the water in the pool is given by the expression  15g^2 + 5g - 6

Step-by-step explanation:

(7g^2 + 3g - 4) + (8g^2 + 2g - 2)

= (7g^2 + 8g^2) + ( 3g + 2g) + (-4 -2)

with the help of distribution law,

= (7 +8)g^2 + (3 + 2)g - (4 + 2)

= 15g^2 + 5g - 6

Therefore if both the hoses are on the same time then the height of the water in the pool is given by the expression  15g^2 + 5g - 6

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3 years ago
Draw a number line that shows two equivalent fractions.label your number line and explain how you know the fractions are equival
Setler79 [48]

Answer:

It is required to draw a number line showing equivalent fractions.

'Equivalent fractions' are the fractions having same value even though the digits involved are different'.

For example: Consider, \frac{1}{2} and \frac{2}{4}.

Now, we have,

\frac{1}{2} = 0.5

\frac{2}{4} = 0.5

Thus, the both fractions have the same value, even though we are dividing different digits.

Thus, \frac{1}{2} and \frac{2}{4} are called equivalent fractions.

So, we plot them on the number line, resulting in the following figure with point P = 0.5.

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