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lions [1.4K]
3 years ago
13

Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

Mathematics
1 answer:
vovangra [49]3 years ago
4 0

Answer: x≤ -0.5

Step-by-step explanation:  Graph the two lines or solve for x:

2x – 6 ≥ 6(x – 2) + 8

2x – 6 ≥ 6x – 12 + 8

2x – 6 ≥ 6x – 4

-4x  ≥  2

  x  ≤  -1/2  [Inequality is reversed when multiplying or dividing by a negative number]

The number line is anything less than or equal to - 1/2

Or one can plot each side of the inequality and note the interception point (x = -(1/2)).

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What is the solution to the equation 13 3/4 + x equals 7 1 / 4​
Olegator [25]

Answer:

x=-6.5

Step-by-step explanation:

7\frac{1}{4} - 13\frac{3}{4}=-6\frac{1}{2}=-6.5

5 0
4 years ago
Solve absolute value of x-2=4
nika2105 [10]

Answer:

6

Step-by-step explanation:

2+4=6

you need to do the oppsite opporation and that the answer for example x-2=4 just add 2 and 4 and thats the answer that is aslo the same rule as divsion and multiplecation sorry for spelleng mistakes hope this helps!!!!!!

4 0
3 years ago
Read 2 more answers
Medical students compared two types of knee surgery to determine if patients were able to return to their active lifestyles. The
sweet [91]

Answer:

Option A

Step-by-step explanation:

The response variable is the dependent variable whose variation depends on other variables and in this case it is the type of surgery either total knee replacement or partial knee replacement.

While the explanatory variable which is the independent variable manipulated by the researcher for the given experimental study is the amount of activity the patients were able to do after their respective surgeries.

5 0
3 years ago
4) The heat is turned on in a room. After 5 minutes, the temperature is 64 °F and after 25 minutes, the
damaskus [11]

Answer:

F=0.4t

Step-by-step explanation:

Find the slope using the formula rise over run or y2-y2 over x2-x1

y2=72 y1=64 x2=25 x1=5

72-64/25-5=8/20=0.4

6 0
3 years ago
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In parallelogram ABCD, the measure of angle A=3x and the measure of angle B =x+10. What is the measure of angle D?
Alinara [238K]

Answer: 52.5

Step-by-step explanation: 2(3x+10)+2(x+10)=360 because all the sides of a rhombus equal 360 and alternate sides are equal

8x+20=360

-20=-20

8x/8=340/8

x=42.5

x+10. 42.5+10=52.5

D=52.5

4 0
3 years ago
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