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lana [24]
3 years ago
7

Write each of the following expressions without using absolute value. |z−6|−|z−5|, if z<5

Mathematics
2 answers:
lina2011 [118]3 years ago
6 0

Answer: 1

Step-by-step explanation: first you need to pretend that the absolute value bars are parentheses. Then substitute a with any number less that five, for example z=3

Now we can write our new equation: (3-6)-(3-5)

now we have to determine if the final answer inside the parentheses is positive or negative. In the first parentheses 3-6=-3 with is negative. In our second parentheses we have 3-5=-2 which is a also negative.

Knowing that both parentheses are negative results we can set up an equation using z instead of 3:

-(z-6)-(-(z-5)) is our new equation. If we simplify this equation we get 1 for an answer

Andre45 [30]3 years ago
3 0

Answer: 6 - 5

<u>Step-by-step explanation:</u>

|z - 6| - |z - 5|    ; z < 5

Since z < 5, then

|z - 6| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:

-(z - 6) =  -z + 6

|z - 5| will be the absolute value of a negative number. Replace the absolute value with a negative and parentheses:  

-(z - 5) = -z + 5

Now subtract them without the absolute value signs:

-z + 6 - (-z + 5)

Distribute the negative sign:

-z + 6 + z - 5

-z + z = 0 which leaves:

6 - 5

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Question: What is your rate of pay?
=> 78 dollars = is the money paid to you
=> 6 and ½ is the time you rendered for work
=> 6 and half hours = 6.50 hours or 6 hours and 30 minutes
Solution:
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6 0
2 years ago
Za and Zb are complementary angles. Za measures 64º.<br> What is the measure of Zb?<br> O
vova2212 [387]

Answer: The measure of <b is 26 degrees.

Step-by-step explanation:  

Complementary angles are angles that add up to 90 degrees. I remember this because my teacher told me this: "Complements are always RIGHT!" Of course, this is a reference to complementary angles combining to make right angles, which are 90 degrees.

To go back on your question, if  <a and <b are truly complementary, then m<a +m<b = 90 degrees. Substitute the measure of <a for 64 degrees, then you get 64 degrees + m<b = 90 degrees. Simplify. Then you'd get that the measure of <b is 26 degrees.

(P.S. Sorry if I cluttered up the ask portion of your post. I haven't used this platform in like 2 years, so everything seems so foreign to me.)

5 0
2 years ago
*<br> 20% of x is 130. What is x?
densk [106]

Answer:

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Step-by-step explanation:

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How can you tell when a pattern shows counting by tens ?
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4 0
3 years ago
Read 2 more answers
compute the mean and variance of the following discrete probability distribution. (round your answers to 2 decimal places.) x p(
a_sh-v [17]

The  determined value of mean µ is 1.3 and variance σ² is 0.81.

What is mean and variance?

  • A measurement of central dispersion is the mean and variance. The average of a group of numbers is known as the mean.
  • The variance is calculated as the square root of the variance.
  • We can determine how the data we are collecting for observation are dispersed and distributed by looking at central dispersion.

The table is attached as an image for reference.

Mean µ = ∑X P(X)

         µ = 1.3

Variance (σ² ) = ∑ X² P(X)- (µ)²

                       = 2.5-(1.3)²

                (σ² ) = 0.81

The  determined value of mean µ is 1.3 and variance σ² is 0.81.

Learn more about mean and variance here:

brainly.com/question/25639778

#SPJ4

6 0
1 year ago
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