What is [tex]|x-6|[/tex] given that [tex]x \geq 6[/tex]

Answers

Answer 1

Answer:

[tex]\mid x-6 \mid \geq 0[/tex]

Step-by-step explanation:

We have two options for x; it is either 6 or greater than 6:

If [tex]x=6\\[/tex], [tex]\mid x-6 \mid = \mid 6-6 \mid = \mid 0 \mid = 0\\[/tex].

If [tex]x > 6[/tex], [tex]\mid x-6 \mid > \mid 6-6 \mid[/tex] => [tex]\mid x-6 \mid > 0[/tex].

(for example, if [tex]x=7\\[/tex], [tex]\mid x-6 \mid = \mid 7-6 \mid = \mid 1 \mid = 1 > 0[/tex])

So, [tex]\mid x-6 \mid = 0[/tex] or [tex]\mid x-6 \mid > 0[/tex]; [tex]\mid x-6 \mid \geq 0[/tex].


Related Questions

Please help me. 20 Points with explanation.

Answers

Answer:

See Below.

Step-by-step explanation:

Square roots deal with multiplication, so if you can simplify to an even square, you can pull out the integer.

sqrt(75) = sqrt(25×3) = sqrt(25)×sqrt(3) = 5×sqrt(3)

((50 is 25×2, so same 5, but with sqrt(2), not 3))

So...

5 / (5×sqrt(3) - 5×sqrt(2)) = 5 / (5×(sqrt(3) - sqrt(2)))

5's cancel out

1 / (sqrt(3) - sqrt(2))

If you multiply top and bottom by (sqrt(3) + sqrt(2)) (which doesn't technically alter anything, since anything over itself is just 1), you get...

(sqrt(3) + sqrt(2)) / ((sqrt(3))^2 - (sqrt(2))^2 + (sqrt(3)×sqrt(2)) - (sqrt(2)×sqrt(3)))

Which simplifies to...

(sqrt(3) + sqrt(2)) / (3 - 2) = (sqrt(3) + sqrt(2)) / 1 = sqrt(3) + sqrt(2)

HELP PLEASE! I DONT HAVE LONG. MY TEACHER IS VERY SCRICT

Answers

Answer:its a cube

Step-by-step explanation: multiply by 3

Answer:

ur mom lol fail lowkey embarrassing u can't do middleschool math

How to show a percentage that’s increased from each year to the next?

Answers

Answer:

Each year has an increase of 10 %

Step-by-step explanation:

To calculate percentage, formula =

Increase in price/original price*100

Please mark as brainliest

Solve for x someone help please. If possible please include steps

Answers

Answer:

10

Step-by-step explanation:

(x + 2) + (-2 + x) = 20

2x + 0 = 20

2x = 20

x = 20/2

x = 10

Answer:x = 10

Step-by-step explanation:

which number is rational

Answers

Answer:

C. C is the only one that is rational out of all of them. The rest are irrational

Steve bought two plain pages in 1/4 of a pepperoni pizza and I'll how much pizza did he buy

Answers

Answer:

he buys 2 pizzas

Step-by-step explanation:

hope it helps you

please mark me brainliest

NEED HELP PLEASE I need number 3 and 4 please if anybody can help

Answers

Answer:

top bar on 3. 120 dollars for strawberry milk per month

bottom bar on 3. 100 dollars chocolate milk per month

#4. bars help an individual know information visually and may help an individual understand better.

PLEASE ANSWER ILL GIVE YOU BRIANLIEST

Answers

Answer:

y-intercept = -2

x-intercept = -4

Step-by-step explanation:

y-intercept is the point where x = 0. Hence,

y-intercept = -2

x-intercept us the point where y = 0. Hence,

x-intercept = -4

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

Point P(-5,2) is translated using the rule (x + 3, y - 1) What is the x - coordinate of P'​

Answers

Answer:

-2

Step-by-step explanation:

Since we are adding 3 to the x-coordinate and subtracting 1 from the y-coordinate, (-5, 2) becomes (-2, 1).

Answer:

(-5 2) = (x + 3, y - 1) (since point p is translated using the rule (x + 3, y - 1))

Comparing each axis,

-5 = x + 3

2 = y - 1

so for x axis:

x = -5 - 3

x = -8

Also, for y axis:

y = 2 + 1

y = 3.

2) How many cups are in two gallons?
Reference: 1 gallon = 4 quarts; 1 quart = 2 pints; 1 pint = 2 cups

Answers

Answer:

I think 32 cups in 2 gallons

john has 1 chicken jake took one how much does john have left

Answers

Answer:

0 because 1-1=0 and that is the answer

He has 0 because 1-1=0

What is the value of x in the right triangle?

Answers

Answer:

the answer would be x = 3

Step-by-step explanation:

since the 2 sides (5 and 2) have to be grater than x 3 would be the only possible answer because 29 is too large and 29 squared is 5.385164807134504

What is the slope of a line that passes through points (-1, 4) and (4, 9)?
-1
1
3/5
5/3

Answers

The right answer is 1

is −8n−7 the same as -7-8n

Answers

Answer:

yes

Step-by-step explanation:

because we are simply "adding" 2 negative numbers.

-8n + -7 = -7 + -8n

as long as we flip the terms around with their signs, the commutative principle of addition applies.

what we CANNOT do is e.g.

8n - 7 = 7 - 8n

THERE would be a problem.

but again, by also keeping the signs with the terms, it is all OK.

so, yes, we could also do

8n - 7 = -7 + 8n

that is true again.

Answer:

Yes

Step-by-step explanation:

They give the same value

Example:       -3-2 and -2-3 give the same value.

What is the surface area of the triangular prism?

Answers

I hope you understood!! :)

what is 5ax + c = 8.5?

Answers

Answer:

a = -0.2cx^-1 + 1.7x^-1

Step-by-step explanation:

Solving for variable a.

Add "-c" to each side of the equation.

5ax + c + -c = 8.5 + -c

5ax = 8.5 - c

Divide each side by 5x.

a = 1.7X^-1 - 0.2cx^-1

Final answer:

a = -0.2cx^-1 + 1.7x^-1

Create a 2-step equation
that has p = 0.5 as its
solution.

pls help! :)

Answers

2p+7=8

2 1/2 = 1
1 + 7 = 8

Two step equations are equations which take 2 steps to solve. Let's create our equation now.

2p + 2 = 3

If you'd like, you can solve it to ensure it's correct.

2p + 2 = 3

Subtract 2 from both sides.

2p = 1

Divide both sides by 2

p = 0.5

what describes f(x) = |x|

Answers

Answer:

mean see weididjdbd ksksns e

Answer:

Let's take an example.

If you put the value of x as 1, it gives one.

Even if you put 3.997654, it will give 3.997654.

But for any negative real number, it gives the same number but not with it's negative sign. Like if x =-3/7,

It will give 3/7.

The notation used here means it is the modulus function.......

Easy 10 points.

4 ways to say 6:45 am in Spanish

• only answer if you know it ty!!!.

Answers

Answer:

son las 6:45 am

ahora son las 6:45 am

actualmente son las 6:45 am

si son las 6:45 am

I tried!!

Halima's score was 80%. The test had a total of 40 questions. How many questions did she answer correctly?

Answers

80% of 40 is 32.
Halima answered 32 questions correctly
They answered 32 questions correctly

How much of the total population of the earth does 16 people make up?


So currently there are roughly 7.9 Billion people on the earth. What percentage of that does 16 people make up?

Answers

Answer:

Australia/New Zealand (56%), Northern Africa and Western Asia (46%), Australia/New Zealand (28%), Central and Southern Asia (25%), Latin America and the Caribbean (18%), Eastern and Southeastern Asia (3%), and Europe and Northern America (2%).

Step-by-step explanation:

You bought a shirt for $24.50, the tax rate is 5%, what is the tax of the
shirt? *

Answers

Answer:

24.50 * .05 = $1.23

Step-by-step explanation:

What is the total cost of 1.4 cubic meters of soil if it sells for $15 per cubic meter

Answers

9514 1404 393

Answer:

  $21

Step-by-step explanation:

The cost is found by multiplying the number of cubic meters by the cost for each of them.

  (1.4 m³) × ($15/m³) = $21

The total cost is $21.

Umm i need help with this thing pls hurry

Answers

Answer:

25×4

Step-by-step explanation:

As 24 dollars is one ticket then you do 24×4 which is 96 and 25×4 is 100 which is close to 96.

Hope this helps

Which is a y-intercept of the graphed function?
(-9,0)
(-3,0)
(0,69)
(0, -3)

Answers

Answer:

(0,-3)

Step-by-step explanation:

The y-intercept occurs when the x value is 0. Therefore, (0,-3) is your y intercept.

i think (0, -3) just not sure tho

Jennifer is saving money to buy a bike. The bike costs $319. She has $139 saved, and each week she adds $15 to her savings.

How long will it take her to save enough money to buy the bike?

It will take her ___weeks to save for the bike

Just answer the 2nd half

Answers

The answer would be 12 weeks

Answer:

12

Step-by-step explanation:

Your problem can be described in the following equation

$139 + $15x = $319

139 dollars + 15 dollars (times x (the number of weeks)) = 319

319 - 139 = 180

180 / 15 = 12

x = 12

Chow,...!

Simplify.
— 8yъ — уъ

Answers

Answer:

-9yъ

Step-by-step explanation:

Since they have the same variables (yъ) then you can add or subtract,

=-8yъ -yъ

= -9yъ

A man's age in 1948 was 57 at what year was he aged 75​

Answers

the man is 27 years old.

27 x 2 =54

54 + 3 = 57Step-by-step explanation:

he’ll be 75 by 1966

Can someone explain this i got 2 but I am really confused help me pls

Answers

Answer:

its either b or d im not sure sorry

Step-by-step explanation:

Answer:

Answer: x is 2

Step-by-step explanation:

[tex]0.3(12x - 16) = 0.4(12 - 3x)[/tex]

open the brackets [ distributive property ]

[tex]3.6x - 4.8 = 4.8 - 1.2x[/tex]

collect like terms together:

[tex]3.6x + 1.2x = 4.8 + 4.8[/tex]

factorise out x :

[tex]x(3.6 + 1.2) = 4.8 + 4.8 \\ 4.8x = 9.6[/tex]

divide by 4.8 on all sides:

[tex] \frac{4.8x}{4.8} = \frac{9.6}{4.8} \\ \\ x = 2[/tex]

70. Evaluate c-3d when c = 1 and d = 1/3

Answers

Answer:

[tex]c - 3d = 1 - 3( \frac{1}{3} ) = 1 - 1 = 0[/tex]

I hope I helped you^_^

Other Questions
The oldest part of Washington DC named after a king (10 letters) what is most likely to be important to the modern Iroquois culture There are 7 unique names in a bowl. In how many orders can 2 names be chosen? Hint: The word ordersimplies that each unique order of two names is counted as a possibility. Find the measure of the missing angle Which type of succession take less time and why? i forgot my homework and i literally have her class next i need help please and i need work to be shown. I'm sorry for my garbage hand writing. 6. Suppose an investment of $8,200 doubles in value every 7 years. How much is the investment worth after 28 years?A. $459,200B. $114,800C. $131,200D. $65,600 I knew that he was wrongChange it to present present indefinite tense Which strategy should you use to make sure you are spelling homophones correctly?A. Review basic spelling rules and exceptions to those rules.B. Keep a word list of commonly misspelled words.C. Pay attention to the meaning of the word and how it is used in the sentence.D. Use spell check on your computer. How does sametta's story in paragraph 2 contribute to the text I need help! Really bad a math. Can someone please help me out with this question Someone just stole a handful of my points, here ya go Determine g(x + a) g(x) for the following function.g(x) = 5x2 + 2x Answer the following question in brief Need help asap with C!!!!! Please say fast it's urgent i will mark brainliest to the first person who will answer itChoose the correct answera) ............ means the unison of body and soul.i) Yoga ii) Meditationb) According to international law, a country ................. attack or seize another nationi) cannot ii) can c) ............ means a determined concentration of mind.i) Meditation ii) Yogad) The current age runs on the theme of ..........i) Organization ii) Isolation Please answer fast Coca Cola and PepsiCo approach international growth differently. Coca Cola is the world's largest snack-food producer and relies on overseas sales to make up for slower sales volumes in North America. In contrast, PepsiCo which is less diversified, derives only 32% of it sales from North America, an indication of the importance of international markets to its performance.A. TrueB. False When the function f(x) = 2x^n + ax^2 - 6 is divided by (x - 1), the remainder is -7 and when divided by (x + 3), the remainder is 129. Calculate the value of "a" and "n" and hence write the polynomial function completely. 89. The element bromine at room temperature is a liquid with adensity of 3.12 g/mL. Calculate the mass of 125 mL of bro-mine. What volume does 85.0 g of bromine occupy?