giải bất phương trình
a)2x+1/2x+2<1
b)1/x+4<1/x-2

Answers

Answer 1

Answer:

[tex]a)x < - \frac{2}{5} [/tex]

[tex]b)4 < - 2[/tex]

Step-by-step explanation:

[tex]a)2x + \frac{1}{2} x + 2 < 1[/tex]

[tex] = 4x + x + 4 < 2[/tex]

[tex] = 5x + 4 < 2[/tex]

[tex] = 5x < 2 - 4[/tex]

[tex] = 5x < - 2[/tex]

[tex] = x < - \frac{2}{5} [/tex]

[tex] = x < - 0.4 \times ∈( - \infty . - \frac{2}{5} )[/tex]

[tex]b) \frac{1}{x} + 4 < \frac{1}{x} - 2[/tex]

[tex] = \frac{1}{x} + 4 < \frac{1}{x} - 2.x≠0[/tex]

[tex] = 4 < - 2[/tex]

= X


Related Questions

by Find the value of 5% of 300​

Answers

Answer:

15

Step-by-step explanation:

5/100*300

100 can be cut for 100 and 300

so 5/1*3

ans 15

Answer:

Percentage Calculator: What is 5 percent of 300? = 15.

Hope it helps you.

Mike sold H hats. Nate sold three times as many hats as Mike. Write an expression for the number of hats Nate sold.​

Answers

answer:

h3

Step-by-step explanation:

H raise to power 3

See your levels
A rectangular vegetable patch is 7 meters long and 5 meters wide. What is its area?

Answers

7*5=35 its simple though

( x+y+z )² + 2( x+y+z ) +1

Answers

Answer:

[tex](x+y+z+1 {)}^{2} [/tex]

Step-by-step explanation:

[tex](x+y+z {)}^{2} +2(x+y+z)+1[/tex]

[tex](x+y+z+1 {)}^{2} [/tex]

Hope it is helpful....

Here is your answer hope this helps you.

The complete factorization of 12x² + 4x - 8 is:
(A) (3x + 1)(4x – 8)
(B) (4x + 4)(3x + 2)
(C) 4(3x² + x - 2)
(D) 4(3x − 2)(x + 1)
(E) 4(3x + 2)(x - 1)

Answers

Answer:

D is the correct answer.

(PLEASE SOLVE ASAP EXPLAIN ALSO)

Answers

Answer:

3.81

Step-by-step explanation:

-      +     -

-      +     -

-      +      -

If you were to go all ways on this chart↑ the rules would always be the same.

A negative plus a negative is a negative.

A negative plus a positive is a negative.

A positive plus a postitive is a positive.

c) A bus completes its journey in 14 hours with an average speed of 40 km per hour. How long does the bus take to complete the journey if its average speed is increased to 56 km per hour?​

Answers

Answer:  10 hours

Explanation:

Compute the distance for the original speed and time

distance = rate*time

distance = (40 kph)*(14 hrs)

distance = 560 km

If we increase the rate or speed to 56 kph, then,

distance = rate*time

560 km = (56 kph)*x

560 = 56x

56x = 560

x = 560/56

x = 10

The bus will travel for 10 hours if its speed is increased to 56 km per hour.

Answer:

A bus takes 4.5 hours to complete a complete a journey at a speed of 40km/hr

So, in this case, We will find the distance first because the distance is constant.

distance-speed*time

distance=40*4.5

distance=180km

distance=180km

Now, we find the time to cover the distance at the speed of 45km/hr

time distance/speed

time=180/45

time=4hrs

Therefore, the answer is 4hrs

Hope it helps you.Have a nice day!!

7 (x + 2) = ?x + ?
someone please help me

Answers

The answer of 7(x+2) is 7x+14

Find the number of ways of arranging N people in a straight line, if two particular people must always be separated.​

Answers

Answer:

It’s the number of ways N people can be arranged in a straight line without restriction minus the number of arrangements in which the 2 people are together.

The number of ways N people can be arranged in a straight line without restriction = N!

The number of arrangements in which the 2 people are together = the number of possible positions for the left-hand person multiplied by the number of people who can be that person, multiplied by the number of possible arrangements for the other N - 2 people

= (N - 1) * 2 * (N - 2)!

= 2 (N - 1)!

So the number of ways N people can be arranged in a straight line if 2 particular people must be separated = N! - 2(N - 1)!

Autumn bought a square frame for her desk that has an area of 361 square units.
What is the perimeter of the frame?

Answers

Answer: P=4a=4·361=1444

x square add 7x subtract 30 factorize​

Answers

x²+7x-30
=x²+10x-3x-30
=x(x+10)-3(x+10)
=(x+10)(x-3)

Hope my answer helped u :)

A) give a verbal description of the subset of real numbers represented by the inequality or the interval, B) sketch the subset on the rest of real number line, and C) state whether the interval is bounded or unbounded

Answers

An inequality is an expression which makes comparison between unequal expressions i.e. both sides of the inequality sign are not equal.

The verbal description of [tex]x > 5[/tex] is the set of all real numbers greater than 5 The interval is bounded (right bounded to be precise)

The inequality is given as:

[tex]x > 5[/tex]

[tex]x > 5[/tex] means x greater than 5

So, the verbal description is as follows:

The set of all real numbers greater than 5

To sketch [tex]x > 5[/tex] on a number line, we consider the following:

> means greater than; so, the arrow on the number line must point to the right[tex]> 5[/tex] implies that the arrow must start on 5> also implies that the circle on 5 must be an open circle

See attachment for the sketch

To determine if the interval is bounded or not, we do the following.

[tex]x > 5[/tex] means that the x starts at a value greater than 5, and the value of x has no end.

This is represented as: [tex](5,\infty)[/tex]

Notice that 5 is at the right, while [tex]\infty[/tex] is at the left.

This means that the interval is bounded (right bounded to be precise)

Read more about inequalities at:

https://brainly.com/question/17194874

Can someone tell me the asnwer to this ASAP?

Answers

Answer:

[tex]2\sqrt{2} \\2[/tex]

Step-by-step explanation:

[tex]\sqrt{8} = \sqrt{4*2} = \sqrt{4} * \sqrt{2} = 2*\sqrt{2} = 2\sqrt{2} \\\\\sqrt[3]{8} = \sqrt{2*2*2} = 2[/tex]

Answer:

I noticed that  [tex]\sqrt{8\\}[/tex] does not have 3 on it like the second one. And i wonder that the answers would be different from each other

[tex]2\sqrt{2}[/tex]

2

17+5 plz show communitive property

Answers

Answer:

17+5=17+5

No matter what order you put them it will always be the same

Answer:

17+5=5+17

Step-by-step explanation:

17+5=22

5+17=22

A truck can be rented from Company A for $120 a day plus $0.20 per mile. Company B charges $60 a day plus $0.40 per mile to rent the same truck. Find the number of miles in a day at which the rentals cost for company A and company B are the same.

please help..

Answers

Answer:

12 miles in a day.

Step-by-step explanation:

Variable x = number of miles

Company A: 120 + 0.20x

Company B: 60 + 0.40x

Set up an equation:

120 + 0.20x = 60 + 0.40x

60 + 0.20x = 0.40x

60 = 0.20x

12 = x

Solve the equation cos7θ = sin5θ where 0<θ<90°​

Answers

Answer:

You can get approximate values by drawing a graph,

Step-by-step explanation:

In hours 3 3/8, John reads 4 1/2 chapters.
What is the unit rate in chapters per hour?
Write your answer as a fraction or a mixed number in simplest form.

Answers

Answer:

1 1/3 chapters per hour

Step-by-step explanation:

eplaination is in the picture

10-3•2/1+1 what is the answer???

Answers

14/2 = 7
The answer can be either depending on it you have to reduce

Answer:

5

Step-by-step explanation:

PEMDAS ( or for whatever one you do... )

You read it from left to right. So, whatever comes first you do then you continue.

Multiplication came BEFORE division in this case.

3 x 2 = 6

Then Division.

You had gotten 6 FROM 3 x 2. Divide that TOTAL with 1.

6/1 = 6

[ Then subtraction is infront of addition. It may seem confusing but regardless how the letters are formatted in "PEMDAS" you ALWAYS read from left to right. "PEMDAS" has Addition infront of Subtraction but in this case, subtraction goes first because it's infront of the addition. ]

Then you subtract.

You had gotten 6 FROM 3x2/1

Subtract that TOTAL with 10. 10 - 6

What is 10 - 6? 4 because 10 is LARGER than 6

Then you add.

You got the TOTAL of 4 FROM 10-3x2/1.

Add that TOTAL with 1.

4 + 1 = 5.

The answer should be 5 but correct me If I'm wrong.

Plzzzz Help me 50 points!!!!

Answers

When solving the system of equations i got that x should be 1 and y should be 5. The equations intersect at the point (1, 5)

pleeeeeeeeeeaaaaaassssseeee help​

Answers

Answer:

with wut

Step-by-step explanation:

Kareem runs 8 miles in 84 minutes. At the same rate, how many minutes would he take to run 6 miles?

Answers

He would take 63minutes to run 6 miles

Answer:

TIME TAKEN =63minutes or 1 h 3 min.

Second to last questions Pls help Thx!. :)

Answers

Answer: this is realy unclear but ill try my best man 1st,bot C . 2nd,bot A . 3rd,bot D, last or 4th, bot c

Step-by-step explanation:

the highest number is 38 clicks in 4.5 seconds so ill try to multiply or do more math to get the answer 0.5 x 9 adds up to 4.5 so ill do 4 x 9 is 36

2x2.25 gets you 4.5 seconds so 2.25 x 15 = 33.75 and bot b i dont even wanna do that math so 1st goes to bot c 2nd goes to bot A 3rd goes to bot d and last goes to bot b

Which one describes the algebraic expression for the phrase, "four times the quantity of a number increased by 8 is
equal to 10 more than the number"?
O 4n + 8 = n - 10
O 4(n + 8) = n + 10
O 8n + 4 = 10n
O 8(n + 10) = n + 10

Answers

Answer:

4(n + 8) = n + 10

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

100 POINTS + BRAINLIST IF RIGHT. GEOMETRY
In problems 13-15 is the bisector of AC

Please help 13-15 I’m struggling so hard :(

Answers

Hello! I'm happy to help!

Question 13: First, we will need to find the value of x. We know that AB and BC are equal.

So, we can subtract x from both sides.

2x-8

-x

x-8

So, we get AB as x-8

x+17

-x

17

and BC as 17. We know that these are equal, so we need to find which x value will make them that way. In this case, x=25 because 25-8=17. We can now add back the x we removed earlier.

17+25=42

Therefore, both AB and BC have a value of 42. and AC will be the combined total.

42+42=84

So, for question 13, x=25, AB=42, BC=42, and AC=84.

Question 14: This question is similar, but we have an expression for AB and AC, instead of AB and BC. We still know that AB=BC, so we can also say that BC=x+6 also. To find x, we need to find a second expression that is equal to AC. We can ad AB and BC together to get that. (x+6)+(x+6)=2x+12. This expression is equal to the AC expression, so we can compare them to find x.

2x+12=3x-31

We need to single out the x on one side, by changing things in the same way on both sides.

2x+12=3x-31

-2x       -2x

12=x-31

+31 +31

43=x

Now that we know our x value, we need to plug it in!

43+6=49

We now know that both AB and BC have a value of 49. Let's plug in the value for AC.

(43·3)-31

129-31

98

After plugging in the values, we know that AC is equal to 98. You could have also added AB and BC together, giving you 98 also.

To Summarize Question 14: x=43, AB=49, BC=49, AC=98.

Question 15: This one is very similar to the last, with a little more complexity to the expressions. First, let's simplify the expressions on AB and AC.

AB=3(3x-1)  AB=9x-3

AC=5(2x+2)   AC=10x+10

Now that we have the simplified expressions, let's solve. We need to find an equivalent expression for AC. We know that AB and BC are equivalent, and also add up to AC. We can copy the expression from AB to BC, and then add them

(9x-3)+(9x-3)=18x-6=AC

We now compare the two expressions in an equation to find x.

10x+10=18x-6

Again, we have to single out x on one side.

10x-10=18x-6

-10x     -10x

10=8x-6

+6     +6

16=8x

This time, we need to divide both sides to single out x.

[tex]\frac{16}{8}[/tex]=[tex]\frac{8x}{8}[/tex]

2=x

Now that we have x, we need to plug it in to finish solving.

(9·2)-3

18-3

15

AB=15  BC=15

From here, you can do one of two things, add AB and BC together (easy), or plug in x for AC.

15+15=30                            (10·2)+10

AC=30                                 20+10=30

                                            AC=30

To Summarize Question 15: x=2, AB=15, BC=15, AC=30.

I'm always happy to help, keep learning! :D

                                       

Greg gives pepper a 12 second head start in a 2km race. If Greg runs at 5km/minute and pepper runs at 3km/minute. Who will win the race and buy how many second

I’d like a formula that i can use to these questions thanks :)

Answers

Answer:

greg, 4 seconds

Step-by-step explanation:

find how long it takes each person to run 2km first.

distance/speed:

pepper: 2/3 *60(seconds)=40 secondsGreg: 2/5 *60= 24 seconds

40-12=28 seconds, pepper will take 28 seconds to finish the race from the time greg starts. greg will win by 4 seconds

The chorus sang for 27 minutes.  If each song lasted an average of 4 1/2 minutes, how many songs did the chorus sing?​

Answers

Answer:

6 songs

Step-by-step explanation:

27 divided by 4 1/2 or 4.5 equals 6 which mean they sang six songs.

Answer:

6, because 4.5 fits into 27 6 times.

what is 6x - 4x please help​

Answers

Answer:

2x

Step-by-step explanation:

6x-4x

= x(6-4)

= 2x

2x the answer is


(6-4)x => 2x

The common factor of 24aᴧ3bᴧ4, 36aᴧ4cᴧ4 and 48aᴧ3bᴧ2c is: pls don't spam sisters and brothers






(≧▽≦)( ◜‿◝ )♡​​

Answers

Answer:

The common factor is 12a³

Step-by-step explanation:

[tex] {24a}^{3} {b}^{4} , \: 36 {a}^{4} {c}^{4} , \: 48 {a}^{3} {b}^{2} c[/tex]

each term got a factor:

[tex] = 12 {a}^{3} [/tex]

Here a graph I made, any numbers that have LCF or a GCF of 140 let me know

Answers

2 & 70
4 & 35
5 & 28
7 & 20
(That’s all)

Identify as a monomial, binomial, or trinomial. x^3Y^2Z

Answers

Answer: Monomial

Step-by-step explanation:

2ax/3y is a monomial in three variables a, x and y.

PJ, A term is defined as a number, variable, or some combination of numbers and/or variables being multiplied together. Even though 2x has two parts (2 and x), since they are being multiplied together, 2x is considered a single term (a monomial expression).Mar 18, 2014

Answer:

monomial

Step-by-step explanation:

because it has only 1 term

Other Questions
Pls help me answer thank you Randall has 19 coins in his pocket. 12 are quarters, and the others are pennies. Randall selects two coins at random from his pocket replacing each coin before drawing the next coin. Which answer choice best describes this event? A. This is an independent event because he is replacing the coin before drawing the next one. B. This is a dependent event because he has different amounts of coins in his pocket. C. This is an independent event because he could select a quarter and then a penny. D. This is a dependent event because he could select a quarter and then a penny. Describe any SIX risky situations to which our youths frecuery exposed to Describe a time when you made a meaningful contribution to others in which the greater good was your focus. Discuss the challenges and rewards of that contribution Simplify 0.2(4.9x + 6) + 0.8(2 - 3x) Solve for x: 2(x + 6) = 22 Is 3.1245769 a irrational number or a rational Choose the correct statement. Consider the expression: 6.43The product of one rational number and one irrational number is rational.BThe product of one rational and one irrational number is irrational.CThe product of two irrational numbers is irrational.DThe product of two rational numbers is rational. g Mr. Zee worked 44 hours during the week ended january 18. he is paid 12 per hour and is paid time and a half for all hours over 40 in a week. what is the net pay for mr zees current paycheck help me senpai...ahhhhh...plz.... someone Which option is an isotope with 6 protons and 8 neutrons?* oxygen-6* oxygen-14*carbon-14*carbon-8 Which of the following is an environmental factor that can contribute to child abuse? *A) DisabilityD) Chronic illnessC) Both parents are young and inexperiencedB) Living in a high-crime area The united states has a federal government. Which of the following best supports his concept what type of orbital is occupied by an electron with the quantum numbers n=3, 1=2? How many degenerate orbital's of this type are found in a multi electron atom Evaluate the expression x^2 - y^2, if x = -3, and y= 2 Hey! Please help i will give brainlest!! Simplify the expression. Write your answer using only positive exponents (3t^-4) ASAP ANSWER PLEASEEEEWhat did professor Arbiter mean by the statement that the company's objective was "profit, not price"? Select all of the following that have the same value as 30,452.A. (3 x 1,000) + (4 x 100) + (5 x 10) + (2 x 1)B. (3 x 104) + (4 x 10') + (5 x 10) + (2 x 10')C. 30,000 + 400 + 50 + 2D. thirty thousand, four hundred fifty-twoE. (3 x 104) + (4 x 10) + (5 x 10') + (2 x 10)F. thirty-four thousand, fifty-two Describe the Truman Doctrine, noting whether it contributed to world peace and security.