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enot [183]
3 years ago
11

What is the solution set for StartAbsoluteValue z + 4 EndAbsoluteValue greater-than 15? 11 less-than z less-than 19 Negative 19

less than z less-than 11 z less-than negative 19 or z greater-than 11 z less-than 19 or z greater-than 11
Mathematics
2 answers:
sergeinik [125]3 years ago
6 0

Answer:

<h2>z less-than negative 19 or z greater-than 11 </h2>

Step-by-step explanation:

Given the inequality |z+4|>15, we are to find the solution set of the inequality. Since the the function is an absolute value, this means that the function will be positive and negative.

For the positive value of the function;

z+4>15\\\\subtract\ 4\ from \ both \ sides\\z+4-4 > 15 -4\\\\z>11

For the negative value of the function we have;

-(z+4) > 15\\\\-z-4> 15\\add\ 4 \ to\ both \ sides\\\\-z-4+4> 15+4\\\\-z> 19\\\\

Multiplying both sides of the inequality by -1 will change the sense of the inequality sign;'

-(-z)< -19\\\\z

Hence the solution sets are z> 11 \ and \ z< -19 \\ OR z less-than negative 19 or z greater-than 11

mash [69]3 years ago
4 0

Answer:

z less-than negative 19 or z greater-than 11

Step-by-step explanation:

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5 0
2 years ago
Kim is 5 years older than her brother Jack. If the sum of their ages is 21, find each of their ages.
yarga [219]

9514 1404 393

Answer:

  • Kim is 13
  • Jack is 8

Step-by-step explanation:

Let k represent Kim's age. Then Jack's age is k-5 and the total of their ages is ...

  k + (k -5) = 21

  2k = 26 . . . . . . . add 5, collect terms

  k = 13 . . . . . . . . . divide by 2; Kim's age

  k -5 = 8 . . . . . . . Jack's age

Kim is 13; Jack is 8.

7 0
3 years ago
A teacher with 10 students has 30 lesson times available. She will teach exactly one of her students during each lesson time. Ho
natka813 [3]

There are \frac{30!}{(3!)^{10} } ways for the teacher to decide which student she will teach during each lesson time if she must teach each student exactly 3 times. Here, "!" represents the factorial.

A number's factorial is the result of multiplying the integer by each natural number below it. Factorial can be symbolized by the letter "!". Thus, n factorial is denoted by n! and is the result of the first n natural numbers.

A whole number's "n" factororial is the sum of that number and each whole number up to one.

When a question asks you to determine how many different ways you can arrange or order a given number of items, you use a factorial.

Learn more about factorials here:

brainly.com/question/25997932

#SPJ1

5 0
2 years ago
Please help me and answer ASAP !! I’ll mark brainliest.
Karolina [17]

Answer:

7 miles! hope this helps. :)

Step-by-step explanation:

8 0
3 years ago
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alexgriva [62]

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Step-by-step explanation:

4 0
3 years ago
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