can someone help the lesson is about ordering.​

Can Someone Help The Lesson Is About Ordering.

Answers

Answer 1

Answer:   [tex]3 \le x \le 5[/tex]

x is any real number between 3 and 5, including both endpoints

================================================

Explanation:

If A < B, then 1/A > 1/B. Applying the reciprocal flips the inequality sign.

For example, if 2 < 3, then 1/2 > 1/3. It might help to look at the decimal representations

1/2 = 0.500

1/3 = 0.333

We see that 1/2 is larger.

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The inequality [tex]x < y < z[/tex] is the same as [tex]x < y \ \text{ and } \ y < z[/tex].

We've broken the single inequality into two smaller parts.

The given inequality breaks down into [tex]\frac{1}{6} \le \frac{1}{x+1}[/tex] and [tex]\frac{1}{x+1} \le \frac{1}{4}[/tex]

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

Let's solve the first inequality for x

[tex]\frac{1}{6} \le \frac{1}{x+1}\\\\6 \ge x+1\\\\6-1 \ge x\\\\5 \ge x\\\\x \le 5[/tex]

Repeat for the other inequality as well

[tex]\frac{1}{x+1} \le \frac{1}{4}\\\\x+1 \ge 4\\\\x \ge 4-1\\\\x \ge 3\\\\[/tex]

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

We found that [tex]x \ge 3 \ \text{ and } \ x \le 5[/tex]

This is the same as [tex]3 \le x \ \text{ and } \ x \le 5[/tex] which combines to [tex]3 \le x \le 5[/tex]


Related Questions

The Fairview Library is getting ready to move to a bigger building. So, the librarians need to pack 2 tons of books into cardboard boxes. Each box can safely hold about 25 pounds of books. If they already packed 50 boxes, how many more boxes should they expect to use?

Answers

Given :

The librarians need to pack 2 tons of books into cardboard boxes. Each box can safely hold about 25 pounds of books. If they already packed 50 boxes.

To Find :

How many more boxes should they expect to use.

Solution :

We know, 1 ton = 2000 pounds

So, 2 ton = 4000 pounds

Minimum number of boxes required for safe handling :

[tex]n=\dfrac{4000}{25}\\\\n=160[/tex]

So, total 160 boxes required.

Therefore, 160 - 50 = 110 many more boxes should they expect to use.

Hence, this is the required solution.

Answer:

110 more boxes

Step-by-step explanation:

llene is making bows for gift wrapping. She uses 1 feet of ribbon for each 3 bow. How much ribbon will she need to make 12 bows?​

Answers

Answer:

4 feet

Step-by-step explanation:

Because if she used 1 feet of ribbon for 3 bows you need to multiply by 4 to 1 foot and you will get 12 bows

Answer:

4 feet of ribbon

Step-by-step explanation:

Because she uses 1 feet of ribbon for each 3 bows, we can create a fraction.

1 ft / 3 bows = x ft / 12 bows

Cross multiplying, we get: 3x = 12

Divide by 3 and we get x = 4 (x in this case is in feet)

Luka buys a special pass to a fair for $7 that allows him to go on every ride for $1 each. How many rides will Luka need to ride in order to spend $20?

Answers

Answer:

He would have to do 13 rides.

Step-by-step explanation:

If he initially pays $7, which lets him pay only $1 for each ride, so when he spends $20, he would have done 13 rides.

There are 13 rides will Luka need to ride in order to spend $20.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Luka buys a special pass to a fair for $7 that allows him to go on every ride for $1 each.

Here, Luka need to ride in order to spend $20.

Let number of rides = x

So, We can formulate;

⇒ $7 + $1x = $20

⇒ 7 + x = 20

Solve for x as;

⇒ x = 20 - 7

⇒ x = 13

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Write the expression as a power with the base of 3 and find its value in the table of cubes



27·243

Answer:

27 · 243 = 3

=

Answers

Answer:

3^8 and 6,561

Step-by-step explanation:

1) Calculate, 3 to the power of what is 27?

Make a table of all of 3's powers until 10. i.e. 3^1 = 3, 3^2 = 9 ......

You will find that 3^3 = 27 and 3^5 is 243

3) Use the formula x^m * x^n = x^m+n and substitue our value.

It should look like this: 3^3 * 3^5 = 3^3+5 = 3^8

4) Make a table as described in step 2  and calculate all of 3's powers up to 10. Look at your table and you will find that 3^8 is equal to 6,561

5) The expression written as a power is

3^8 and

the value: 6,561

Enjoy :)

Lois builds a cage for her hamster. The cage is a right rectangular prism. The height of the cage is 2 feet. The length and width are both x feet more than the height. Which expression represents the volume, in cubic feet, of the cage?

A. x^2 +6
B.2x^2+4x+4
C.x^2+4x+6
D.2x^2+8x+8

Answers

Answer:

[tex]V=2x^2+8x+8[/tex]

Step-by-step explanation:

The volume of a right rectangular prism is given by :

[tex]V=lbh[/tex]

Where,

l is length, bis breadth and h is height

ATQ,

Height of the cage is 2feet

The length and width are both x feet more than the height.

l = b = (x+2)

So,

[tex]V=(x+2)(x+2)2\\\\V=(x+2)^22\\\\V=(x^2+4+4x)2\\\\V=2x^2+8+8x[/tex]

So, the correct option is (D).

Answer:

Your Ans is

Option D.....

PLZZZ SEND HELPPP ANSWER QUICKK

Answers

Answer:

The answer is C 2^3

hope this helps!!!

Answer:

2^3

Step-by-step explanation:

Ok, let's jump right in!

Multiply 2^6 by 2^−3 by adding the exponents.

Use the power rule a^m a^n = a^m+n to combine exponents. Therefore, we get:

2^ 6-3

Subtract 3 from 6.

2^3

TIP: For next time remember that when you have to multiply exponents you that have the same base number you really just have to add the exponents.

A _______ cuts one angle into two equal angles

Answers

This would be an angle bisector!
hope this helped :)

A ferris wheel has a diameter of 80 meters. How far does a rider travel in one complete rotation around the ferris wheel?

Answers

Given parameter:

Diameter of the ferris wheel  = 80m

Unknown:

Distance covered in one complete rotation = ?

Solution:

One complete rotation will sweep through the circumference of the wheel.

So,

  One complete rotation = Circumference of circle  = 2 [tex]\pi[/tex] r

Where r is the radius;

         Radius here is [tex]\frac{80}{2}[/tex]  = 40m

So circumference = 2 x [tex]\pi[/tex] x 40 = 80[tex]\pi[/tex]

The distance the wheel sweeps through will be 80π m

12 divided by 3 +6 times 2 simplified

Answers

Answer:

16

Step-by-step explanation:

12/3 +6×2

4+12=16

Hope it helps

PLEASE ANSWER THIS FOR ME!!
If 12 = 17 - 5, then 17 - 5 = 12 What math property is this?

Answers

Answer:

Symmetric property of equality

Step-by-step explanation:

The symmetric property of equality states values are still equal no matter which side of the equal sign they're on.

HELP ASAP
How much interest is earned on a $500 investment made at a 3.5% simple interest
rate over the course of 2 years?
A$3500
B $350
C$35
D$3.50

Answers

Answer:

C

Step-by-step explanation:

500* (0.035)

17.5*2

35

Someone please help?

Answers

Answer:

57

Step-by-step explanation:

x= 180-123

x=57

I’m pretty sure Answer is 57

The sum of 5x and 2x is at least 14.

Answers

Answer:

it will be 40

Step-by-step explanation:

If two angles are supplementary and one of the angles measures 62 degrees, What is the measure of the other angle?


answer choices

28 degrees

38 degrees

118 degrees

128 degrees​

Answers

Answer:

118 degrees

Step-by-step explanation:

Supplementary = sum of the angles equal 180 degrees

180 - 62 = 118

118 degrees is your answer

Hope this helps!

Answer:

118°

Step-by-step explanation:

i’m different

Sam purchases a used video game for GameStop. In order to make a profit,
GameStop marksup their used game 50% before reselling them. Sam paid $45 (without
tax). What was the original price of the game?

Answers

Answer:

$22.50

Step-by-step explanation:

50/100 = x/45

cross multiply

50 × 45 = 100 × x

2250 = 100x

divide both sides by 100

22.5 = x

*note: marksup the price means that $45 should be more than what the value of x is. $45 is more than $22.50. you can also check your work by looking at the fact $22.50 is exactly half (50%) the amount of $45*

If f (x) = x over 2 - 2 and g(x) = 2x squared + x - 3, find (f + g) (x)

Answers

[tex]f(x) = \frac{x}{2} - 2 \\ [/tex]

[tex]g(x) = 2x + {(x - 3})^{2} [/tex]

[tex]f(x) + g(x) = (f + g)(x)[/tex]

[tex]( \frac{x}{2} - 2) +( 2x + ({x - 3})^{2} \: ) = \\ [/tex]

[tex] \frac{x}{2} - 2 + 2x + {x}^{2} - 6x + 9 = \\ [/tex]

[tex] {x}^{2} - 6x + 2x + \frac{x}{2} + 9 - 2 = \\ [/tex]

[tex] {x}^{2} - 4x + \frac{x}{2} + 7 = \\ [/tex]

[tex] {x}^{2} - \frac{8}{2}x - \frac{1}{2}x + 7 = \\ [/tex]

[tex](f + g)(x) = {x}^{2} - \frac{9}{2}x + 7 \\ [/tex]

_________________________________

Done....

♥️♥️♥️♥️♥️

Simplify negative 4 over 3 divided by 2 over negative 6

Answers

Answer:

-4 x 3= 12 divid 2= 6 x -6 =12

Step-by-step explanation:

Write an expression for the perimeter of the triangle shown below:

6.9x − 16
6.9x + 16
0.1x − 16
0.1x + 16

Answers

Answer:

The answer is 0.1x-16

Step-by-step explanation:

-3.4x+3x+.5x=0.1x and -25+9 is -16  which is 0.1x-16

HELP !! ASAP !!

Find the zeros of the function f(x) = -5x2 + 4x - 1 by completing the square.
(leave in fraction form if necessary)

Answers

Answer:

The roots are;

x = (2 + i)/5 or (2-i)/5

where the term i is the complex number representing the square root of -1

Step-by-step explanation:

Here, we want to use the completing the square method to solve the quadratic equation;

f(x) = -5x^2 + 4x -1

Set the function to zero

0 = -5x^2 + 4x - 1

So;

-5x^2 + 4x = 1

divide through by the coefficient of x which is -5

x^2 - 4/5x = -1/5

We now take half of the coefficient of x and square it

= -2/5^2 = 4/25

add it to both sides

x^2 - 4x/5 + 4/25= -1/5 + 4/25

(x- 2/5)^2 = -1/5 + 4/25

(x - 2/5)^2 = -1/25

Take the square root of both sides

x - 2/5 = √( -1/25

x - 2/5 = +i/5 or -i/5

x = 2/5 + i/5 or 2/5 - i/5

Help please. I will give brainliest.

Answers

Answer:

if you answer my most recent question ill answer this one.

Step-by-step explanation:

the creamery ice cream shop in walnut creek sold 501 ice creams last Wednesday. they sold half as many chocolate cones as vanilla. First write the equation.

Answers

502 iced tea cheesecake

I need the complete answer, thanks!!

Answers

Let me know if it’s not that.

Answer:

9 is the constan trate of change.

Step-by-step explanation:

Assuming two points of the graph with the form as P=(x,y) you can find the constant rate m using the slope formula.  

m=(y2-y1)/(x2-x1)

Lets say that P1=(0,0) and P2=(1,9), then:  

m= (9 – 0)/(1-0)

m=9

Therefore, the point (0,0) means that when you are not buying any t-shirt then you dont have any waste of money. The point (1,9) means that when you are buying one t-shirt then you have to pay 9 then its result that cost of each t-shirt is 9 so when you are buying two t-shirt then you  have to pay 18, when you are buying three you have to pay 27 likewise.

There are 25 female performers in a dance recital. There ratio of men to women is 2:5. How many men are in dance recital.

Answers

If the ratio is 2:5 when there are more females then men 25 divided by 5 is 5 and 2 multiplied by 5 is 10.

So to answer your question: There are 10 Men

Answer:

There are 10 men in the dance recital.

Step-by-step explanation:

The ratio 2:5 means that for every 5 women there are 2 men.

We will divide 25 by 5 to figure out how many groups there will be.

[tex]25/5=5[/tex]

[tex]x*y=z[/tex]

x = amount of groups.

y = amount of men per group

z = total amount of men.

[tex]5*2=10[/tex]

This means that there are 10 men in the dance recital.

a
1.80 x 5= 2.16
b
1.80 ÷ 5= 2.16
c
1.80 ÷ 2= 0.90
d
1.80 ÷ 5= 0.36

Answers

Answer:

heidnejfrbfj

Step-by-step explanation:

heudbdbeb

Help me plzzzzzzz.thank you

Answers


ANSWER
M=(−3,72)


Find A midpoint calculator on the internet

A ship travels 685 nautical miles. How many feet has the ship traveled? If a nautical mile equals 1,852 meters, how many meters has the ship traveled?

Answers

Answer:

1,268,620

Step-by-step explanation:

Multiply 1,852×685

Answer:

1268620 meters

Step-by-step explanation:

685x1852= 1268620


What is the slope of the line that passes through the points (3,-2) and (1,8)

Answers

Answer:

10/-2= -5

Step-by-step explanation:

slope= change of y/ change of x

Solve the inequality 2x + 10 < 5x + 1

Answers

Answer:

3 < x

Step-by-step explanation:

Jennifer received a coupon for 40% off her purchase of a regularly priced item from her favorite
store. If Jennifer wants to order a shirt from the store that is originally $30, how much would
she have to pay for the shirt after the coupon?

Answers

Answer:

18$

Step-by-step explanation:

Explain! Prize! Thank you!

Answers

Answer:

60 pages in 2 days

Step-by-step explanation:

120 pages in 4 days is equivalent to a 30 pages in 1 day rate (divide both by 4). The only other rate that is equivalent to a 30 pages in 1 day rate is 60 pages in 2 days because 60 = 30*2 and 2 = 1*2.

Answer:

60 pages in 2 days is the answer

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