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

the number 126 is divisible by what numbers ? 2,3,4,5,6,9,10

Answers

Answer:

1,

Step-by-step explanation:

You may also be interested to know that all the numbers that 126 is divisible by are also known as the factors of 126. Not only that, but all the numbers that are divisible by 126 are the divisors of 126.

can someone please help me with this?

Answers

I think the given figure will help you....

Mrs. Eskew saved her money for 32 years and had $4,119,184 in the bank. She used her money to go a vacation for a month and spent $978,349. How much did she have left after her vacation?

Answers

Answer:

$3,140,835

Step-by-step explanation:

4,119,184-978,349=3,140,835

hope this helped!

what is 3/4 x 3 + 2/4 + 1 = ????

as a whole number

Answers

Answer:

3/4×3 = 2.25

2/4×1= 0.5

Step-by-step explanation:

how it helps u

Describe a relationship between two sets that you can describe mathematically

Answers

Answer:

LOVE and CARING for each other

Step-by-step explanation:

combine like terms and simplify. 7(3y-5)-2(10+4y)

Answers

Answer: 13y - 55

Step-by-step explanation:

Given

7 (3y - 5) - 2 (10 + 4y)

Expand parentheses and apply the distributive property

=7 · 3y - 7 · 5 - 2 · 10 - 2 · 4y

=21 y - 35 - 20 - 8y

Move like terms together

=21y - 8y - 35 - 20

Combine like terms

=13y - 55

Hope this helps!! :)

Please let me know if you have any questions

one half of a number plus 7

Answers

Answer:

1/2n + 7

n =  unkown number

Step-by-step explanation:

Answer:

1/2(x) + 7

Step-by-step explanation:

x= unknown number

Simplify square root of -200

Answers

Answer:

14.1421356i

Step-by-step explanation:

hope it helps

Suppose y varies inversely with x, and y = -1 when x = 6. What inverse variation equation relates x and y?

Answers

Answer:

y = -6/x

Step-by-step explanation:

Inverse variation equation:

y = k/x, where k - coefficient

We have:

x = 6, y = -1

Work out the value of k by substituting the values of x and y:

-1 = k / 6k = -1*6k = -6

The equation is:

y = -6/x

Answer:

y = -6/x

Step-by-step explanation:

y varies inversely as x

So, y = k/x, where k is the constant of proportionality.

If y = -1 when x = 6,

Then, -1 = k/6 ===> k = -6

Therefore, y = -6/x

help me ASAP pleaseee:((

Answers

Answer:

A

Step-by-step explanation:

x=13

so, A.T.Q

13-5+7=15

13+2=15

15=15

Given that
a
= 3 cm and
b
= 21 cm, work out
θ
rounded to 1 DP.

Answers

Answer:

I am sorry I not no

this question

Step-by-step explanation:

sorry dear friend

Find the area of the following quadrilateral.

Answers

Answer: 480

Step-by-step explanation:

The quadrilateral ABCD is a trapezium

The formula for area of trapezium is

Area of trapezium = 1/2 × (parallel side 1 + parallel side 2) × h

So we can place the given values into the formula.

We get

Area = 1/2 × (9+15) × 40

Area = 1/2 × 24 × 40

By multiplying all of them we get

Area = 480cm


HELP!! WILL MARK AS BRAINLIEST!!!

On an airplane, the passengers may have chicken, vegetable or tomato soup
Half of the passengers choose chicken soup
A third of the passengers choose tomato soup.
(a) What fraction of the passengers choose vegetable soup?
There are 240 passengers on the airplane.
(b) How many passengers choose vegetable soup?

Answers

Answer:

1/6 and 40

Step-by-step explanation:

for 1/6 you can get the answer by getting 1/2 chicken = 3/6 then 1/3 tomato soup = 2/6 and you have 1/6 left which will be the answer.

For the number of people, 1/6 is equal to 40 because 240 divided by 6 equals 40

Which graph shows the function f(x) = x with an input of f(x – 3)?

Answers

Can’t answer if you don’t have a graph picture, but put it into your graphing calculator and you should get the answer

6 + 4w = 2w − 6
Solve for W

Answers

Answer: w= -6

When we subtract 2w from both sides we get 2w on the left and 0 on the right. The equation becomes 6+2w=-6. Then we subtract both sides by 6 making it 2w=-12 and when we divide each side by 2 we get w=-6

Answer:

W=-6

Step-by-step explanation:

6+4w=2w-6

Collect Terms

4w-2w=-6-6

2w=-12

now divide both sides by 2

2w/2=-12/2

w=-6

the sum of two numbers is 17 and their differance is 3

Answers

Answer:

10 and 7 are the numbers

Step-by-step explanation:

Let the number be x and y, ATQ, x+y=17 and x-y=3, solving it we will get x=10 and y=7

The sum of two numbers is 17 and their difference is 3.

Let's define the two numbers as x and y.

Sum of two numbers is 17

x + y = 17

Their difference is 3

x - y = 3

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

Solve for x

x + y = 17

x = 17 - y

now that we have x, substitued x into x - y = 3

x - y = 3

17 - y - y = 3

17 - 2y = 3

-2y = -14

y = 7

we have y, 7, now let's substitue that into one of the equations to find x

x - y = 3

x - 7 = 3

x -7 + 7 = 3 +7

x = 10

the numbers are 10 and 7

find the coordinates of the points of intersection of the line 2x+3y+2=0 with the curve 2xy=-1

no spam plz fast

Answers

Make y the subject of the curve equation
y = -1/(2x)
Substitute for y in the line equation
2x +3(-1/2x) + 2 = 0
Multiply every term by 2x
4x^2 - 3 + 4x = 0
4x^2 + 4x - 3 = 0
(2x - 1)(2x + 3) = 0
If 2x - 1 = 0 then
2x = 1
x = 1/2
y = -1/(2 x 1/2) = -1

If 2x + 3 = 0 then
2x = -3
x = -1.5
y = -1/(2 x -1.5) = -1/3

The points of intersection are (1/2, -1) and (-1.5, -1/3)

Sorry about the mixture of fractions and decimals ;)

The point of intersection of the line 2x+3y+2=0 with the curve 2xy = -1 will be (1/2, - 1) and (1/6, 1/3).

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The equation of lines are,

⇒ 2x + 3y + 2 = 0

⇒ 2xy = - 1

Now,

Since, The equation of lines are,

⇒ 2x + 3y + 2 = 0  ..(i)

⇒ 2xy = - 1   ..(ii)

From (ii);

⇒ 2xy = - 1

⇒ x = - 1/2y

Put above value in (i), we get;

⇒ 2 × - 1/2y + 3y + 2 = 0

⇒ - 1/y + 3y + 2 = 0

⇒ - 1 + 3y² + 2y = 0

⇒ 3y² + 2y - 1 = 0

⇒ 3y² + 3y - y - 1 = 0

⇒ 3y (y + 1) - 1 (y + 1) = 0

⇒ (3y - 1) (y + 1) = 0

⇒ y = 1/3

And, y = - 1

So, The value of x is,

⇒ x = - 1/2y

⇒ x = - 1/2 × - 1

⇒ x = 1/2

And, x = - 1/2 × 1/3

⇒ x = 1/6

Thus, The intersection point on the lines = (1/2, - 1) and (1/6, 1/3)

Learn more about the substitute method visit:

https://brainly.com/question/26094713

#SPJ2

For her new MP3 player, Alicia wants a case that is 3 and 2/5 in. long. The online store shows case sizes in decimal measurements. What length case should she order?

A. 3.2 in.

B. 3.25 in.

C. 3.4 in.

D. 3.45 in.

Answers

Answer:

C.

Step-by-step explanation:

.

Answer:

c) 3.4 in

Step-by-step explanation:

PLEASE HELP ME WITH THIS GEOMETRY ASSIGNMENT!! WILL GIVE BRAINLIEST ANSWER!!!!!

Answers

Answer:

im pretty sure your answer is correct :)

Step-by-step explanation:

Answer:

line [tex]l[/tex]

The length of JM is 9.

Step-by-step explanation:

Since JM ≅ MK then we can form the following:

[tex]JM=MK\\JM=3x+15\\MK=8x+25\\\\3x+15=8x+25\\15=5x+25\\-10=5x\\-2=x\\x=-2\\\\JM=3x+15\\JM=3(-2)+15\\JM=-6+15\\JM=9[/tex]

Find the mean of 9, 10, 3, 9, 2, 3 graphically.

Answers

Answer:

Mean=6

Sum of numbers= 30

Step-by-step explanation:

Consumer Math

Which person uses the best cost saving strategy when deciding how to spend their money? A. Octavia bought the name-brand dish soap to be sure it was good quality. B. Jake paid the seller's full price for his used car to avoid someone else buying it. C. Tyrone waited for a sale so he could get a lower price on his new skateboard. D. Camilla bought her new computer immediately in case prices increased.

Answers

Answer:

I think c if not sorry

Step-by-step explanation:

C is the only one that makes sense

person uses the best cost saving strategy when deciding how to spend their money is Tyrone waited for a sale so he could get a lower price on his new skateboard.

The correct option is (C).

What is strategy?

Strategy is an action that managers take to attain one or more of the organization's goals. Strategy can also be defined as “A general direction set for the company and its various components to achieve a desired state in the future. Strategy results from the detailed strategic planning process”.

Considering the cost saving ,

Tyrone spends it in a better way cause he waits for the sale so that he could get the lower price for his new skateboard.

Other just look on the quality, first buyer, took the item in increased price.

Hence, Tyrone waited for a sale so he could get a lower price on his new skateboard.

Learn more about strategy here:

https://brainly.com/question/20350382

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4 - 2(x-4)/ 3= 3(2x+5)/2
pls answer fast​

Answers

Answer:

- (5/22)

Step-by-step explanation:

(12-2x+8)/3 = (6x + 15)/2

(20 - 2x)/3 = ( 6x + 15)/2

Now cross multiplication

40 - 4x = 18x + 45

-18x - 4x = 45- 40

- 22x = 5

x = - ( 5/22)

Determine whether each relation is a function

Please help I dont wanna fail math this year

Thanks

(I am in Algebra 1 btw)

Answers

I don’t know heh but try scanning it

Can someone Solve this math problem for me I'm having some trouble.

27×26+98÷25?

Answers

Answer:

705.92

Step-by-step explanation:

hope it's help

#MASTER GROUP

# FIRST MASTER

# PHILIPPINES

(
Solve this equation for p:
P+1 / 2 = 3p+7/5

Answers

Answer:

p = -10

Step-by-step explanation:

[tex]\frac{p+1}{2} = \frac{3p+7}{5}[/tex] cross multiply fractions

6p + 14 = 5p + 5

6p - 5p = 5 - 15 subtract like terms

p = - 10

A goat is grazing outside of a rectangular barn that has dimensions 20 ft by 30 ft.
He's tied to a corner of the barn with a 12 ft rope. Find the grazing area of the goat.

Answers

Answer:

108π  ft² or  339.29 ft²

Step-by-step explanation:

Refer to attached picture.

The grazing area of the goat is 3/4 of area of circle with 12 ft radius:

A = 3/4(πr²) = 3/4(π*12²) = 108π  or  339.29 ft²

Tied to the corner

Means 1part among 4parts of circle or a quarter area

So grazing field

πr²-1/4πr²3/4πr²3/4(12)²π3/4(144)π108π339.3ft²

What is one of the best ways to stop procrastinating and study More

Answers

Answer:

use the two minute rule. you tell yourself you will study for two minutes or ten minutes and then if you're in a flow you keep going. hope this helps :)

Evaluate the expression

Answers

Answer:

361

Step-by-step explanation:

[tex]3 \times {11}^{2} - 2 = 361[/tex]

Answer:

361

Step-by-step explanation:

3(7+4)^2-14÷7

PEMDAS says parentheses first

3(11)^2-14÷7

Then exponents

3(121)-14÷7

Then multiply from left to right

363 -14÷7

363 -2

Subtract

361

what's the Answer ?

[tex] \sqrt{ \dfrac{225}{9} } [/tex]

Answers

Answer:

Solution given;

[tex] \sqrt{ \dfrac{225}{9} } [/tex]

[tex] \sqrt{ \dfrac{15²}{3²} } [/tex]

[tex] \sqrt{ (\dfrac{15}{3} )²} [/tex]

[tex]\dfrac{15}{3}[/tex]

=5

Answer:

First, simplify the content under root:

[tex]\sqrt{\frac{225}{9}} =\\\\\sqrt{25}}} \\[/tex]

Now, use the following identity:

[tex]\sqrt{a^2} = |a|[/tex] = ± a

Last, we get:

√25 = √5² = ± 5

What does the term "cube root" mean?

Answers

You can define the cube root of a number as a special value that. For example, 3 × 3 × 3 equals 27, so the cube root of 27 is 3.
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