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Advocard [28]
2 years ago
8

Compare the process of solving |x – 1| + 1 < 15 to that of solving |x – 1| + 1 > 15. Check all of the following you includ

ed in your response. Both absolute values would need to be isolated first. You would need to write a compound inequality for each. Both compound inequalities would compare x – 1 to –15 and 15. The inequality with “<” would use an “and” statement, while the “>” would use an “or” statement.
Mathematics
1 answer:
zepelin [54]2 years ago
7 0

The required Comparison of the inequalities are

  • The |x – 1| + 1 > 15 represents the value of x lies between 13<x<15.

The range of values encompassing the region's junction is (-13, 15).

  • If x is more than or equal to 15, then x-11+1>15 indicates the value of x is greater than or equal to 13. None of the regions in the intersection are empty.

<h3>What is inequality?</h3>

When comparing two numbers, an inequality indicates whether one is less than, larger than, or not equal to the other.

We take into account the various variables of the inequality

|x – 1| + 1 > 15

Therefore

|-x-1|+1-1<15-1

|-x-1|-1 <14

13<x<15

The required region lies between the inequality -13 <x< 15.

Simplify the inequality Ix-11+1 > 15 we get,

|x-1|+1 > 15

|x+1| +1-1 >15-1

|x-1| > 14

x> 15  

x<-13

  • If x has a value between -13 and x + 15, then the expression "|x-1|+1+115" is true. The range "(-13, 15)" contains the intersection of the region.
  • If "|x-1|+1>15" then either "x >15" or "x-13" applies to the value of x. This region's intersection is unoccupied.

Read more about inequalities

brainly.com/question/20383699

#SPJ1

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The perimeter of a triangle is 82 feet. One side of the triangle is 2 times the second side. The third side is 2 feet longer tha
andrezito [222]

Answer:

first side=40

second side=20

third side=22

Step-by-step explanation:

LET THE SIDES OF THE TRIANGLES BE y

Perimeter=82

first side=2 x y = 2y

second side=y

third side=2 +y

2y + y + 2 + y=82

4y+2=82

4y= 82-2

4y=80

y=80/4

y=20

first side=2y=2(20)=40

second side=y=20

third side= 2 + y= 2 + 20 = 22

3 0
3 years ago
Karen says the functions f(×)=×+3 and g(×)= -×+7 intersect at x=2 is she correct
frez [133]

Answer:

Yes.

Step-by-step explanation:

To find the point of intersection we solve the system:

y = x + 3

y = -x + 7       Subtract:

0 = 2x - 4

2x = 4

x = 2.

She is correct.

7 0
3 years ago
Read 2 more answers
If f(x)=1/x+2 what is f(3+h)?
Wittaler [7]
I don't know if you want the whole x+2 on the bottom or not, but I will put it on the bottom for now.
Replace x with (3+h)

f(3+h)=1/[(3+h)+2]

Now if it's supposed to be JUST x in the denominator...
Replace x with (3+h)

f(3+h)=1/(3+h)+2


Best wishes!
3 0
3 years ago
What is the quotient of (2x3 – 29x + 13) ÷ (x + 4)?
sleet_krkn [62]

9514 1404 393

Answer:

  C.  2x^2 -8x +3 +1/(x +4)

Step-by-step explanation:

Synthetic division is useful for finding the quotient. Or, you can use polynomial long division. The result is the same, but synthetic division requires less writing.

7 0
2 years ago
Consider a binomial distribution of 200 trials with expected value 80 and standard deviation of about 6.9. Use the criterion tha
mote1985 [20]

Answer:

The correct answer is option 'a' : 120 is more than 2.5 standard deviations above the expected value.

Step-by-step explanation:

For an exponential distribution we have

The expected value μ = 80

No of trails n = 200

Thus we have

p=\frac{80}{200}=0.4

The deviation is related to expected value and probability as

\sigma =\sqrt{np(1-p)}\\\\\therefore \sigma =\sqrt{200\cdot 0.4\cdot (1-0.4)}=6.9

Thus the values between the given deviation is

x_{1}=80-2.5\times 6.9=62.75\\\\x_{2}=80+6.9\times 2.5=97.25

Now since 120 successes are out of the range of [62.75,97.25] thus 120 is more than the expected value.

5 0
3 years ago
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