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sveta [45]
3 years ago
12

Solve and graph the absolute value inequality: |2x + 4| > 14.

Mathematics
1 answer:
Aloiza [94]3 years ago
4 0

Answer:

"number line with open circles on negative 9 and 5, shading going in the opposite directions."

Step-by-step explanation:

Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.

|u|>14 means that the number u has to be greater than 14 or less than -14.  These numbers I describe just now all have a distance greater than 14 from 0.

So |u|>14 implies u>14 or u<-14.

But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.

2x+4>14

Subtract 4 on both sides:

2x    >10

Divide both sides by 2:

x      >5

2x+4<-14

Subtract 4 on both sides:

2x    <-18

Divide both sides by 2:

x      <-9

So our solution is x>5 or x<-9.

Graphing!

~~~~~~~O                                         O~~~~~~~~

-----------(-9)---------------------------------(5)---------------

So we shaded to the right of 5 because our inequality says x is bigger than 5.

We shaded to the left of -9 because our inequality says x is less than -9.

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11111nata11111 [884]

Let the money alleli initially had be x

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Money spent on shoes = (1/2)x × (1/3)x=(1/6)x

Remaining money = x minus( (1/2)x + (1/6)x)= (1/3)x

Also we know the remaining money is 1000

Therefore

(1/3)x = 1000

Multiplying 3 on both sides

X = 3×1000

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Hope this is right!!

5 0
3 years ago
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Her statement is true because multiplication is repeating addition
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2 years ago
PLEASE HELP!!! Consider circle O, where m BD=70 and m CA=170
sveta [45]
BPD = 1/2(BD + CA)

BPD = 1/2(70 + 170)

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4 0
3 years ago
The image below shows 2 complementary angles.
oksian1 [2.3K]

Answer:

a)(x + 3) + (2x - 3) = 90

b)(x + 3) + (2x - 3) = 90

    -3                     -3

-------------------------------

x + (2x-3)         = 87

          +3           +3

------------------------------

x + 2x                = 90

Simpify: x + 2x = 3x

3x/3 = 3

90/3 = 30

x = 30º

c)(30 + 3) = 33º for angle A

  (2x30-3)= 57º for angle B

Step-by-step explanation:

Set them equal to 90º because complementary means 2 angles that = 90º

5 0
3 years ago
Say that the national weather service claims the average number of tornados that occur in Ohio annually is 52. Your team of weat
g100num [7]

Answer: we would reject the null hypothesis that the mean was equal to 52 at a level of significance of alpha = 0.05.

Step-by-step explanation:

The null hypothesis is the hypothesis that is assumed to be true while the alternative hypothesis is the statement that is believed to be true if the null hypothesis is rejected.

From the given information, the null hypothesis is

µ = 52

The decision rule would be to accept the null hypothesis if the level of significance is lesser than the p value and reject the null hypothesis if the level of significance is greater than the p value

Since alpha, 0.05 > than the p value, 0.016, then we would reject the null hypothesis.

7 0
3 years ago
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