Solve for × and write answer in interval notation.
[tex] \frac{1}{x + 1} \geqslant \frac{3}{x - 2} [/tex]

Answers

Answer 1

Answer:

( -∞, -2.5] ∪ (-1, 2)

Step-by-step explanation:

1/(x + 1) ≥ 3/(x - 2)

x - 2 ≥ 3(x + 1)

x - 2 ≥ 3x + 3

x - 3x ≥ 3 + 2

-2x ≥ 5

x ≤ -2.5

Interval notation:

( -∞, -2.5] ∪ (-1, 2)


Related Questions

Omg someone anybody help!! Please

Answers

Answer:

y= 2x

Step-by-step explanation:

y= mx+b

The slope (m) is 2/1 or just 2.

The y-intercept (b) is 0.

y= 2x

PLEASE HELP ME WITH THIS !

Answers

Answer:

uh idek

Step-by-step explanation:

Answer:

1) 20.2

2) 13

3) 10.3

4) 103

Step-by-step explanation:

If you need help solving these on your own next time, here's the formula

a^2+b^2= c^2, or A to the power of two, plus B to the power of two, = C to the power of 2.

To solve them square both A and B, (ex. 9.2 to the power of two, plus 18 to the power of two, which equals 408.64.)

Then, to solve for x, (or c, doesn't matter the variable,) you square root the number.

(ex. √408.64, which is 20.2)

uppose a large telephone manufacturer has a problem with excessive customer complaints and consequent returns of the phones for repair or replacement. The manufacturer wants to estimate the magnitude of the problem in order to design a quality control program. How many telephones should be sampled and checked in order to estimate the proportion defective to within 4 percentage points with 83% confidence

Answers

Answer:

The answer is "294.2075".

Step-by-step explanation:

Given:

[tex]\hat{p} = 0.5 \\\\1 - \hat{p} = 1 - 0.5 = 0.5\\\\E = 4\% = 0.04\\\\[/tex]

At [tex]83\%[/tex] confidence level the z is ,

[tex]\alpha = 1 - 83\% = 1 - 0.83 = 0.17\\\\\frac{\alpha}{2} = \frac{0.17}{2} = 0.085\\\\Z_{\frac{\alpha}{2}} = Z_{0.085} = 1.3722\\\\n = (\frac{Z_{\frac{\alpha}{2}}}{E})^2 \times \hat{p} \times (1 - \hat{p})\\\\[/tex]

   [tex]= (\frac{1.3722}{0.04})^2 \times 0.5 \times 0.5\\\\= (34.305)^2 \times 0.5 \times 0.5\\\\= 1,176.83 \times 0.5 \times 0.5\\\\= 1,176.83 \times 0.25\\\\=294.2075[/tex]

I REALLY NEED HELP with this statistics question, it would mean a lot if someone could answer it, i will give you brainliest for the correct answer!!!! :)

Answers

Answer:

In Data Set A mean , standard deviation are better measure of center as they give more information about the center of  data.

In Data Set B mean , standard deviation are better measure of center as they give more information about thecenter of data.

Step-by-step explanation:

Data Set A           Data Set B

1                                   3

3                                   5

3                                   5

2                                   4

4                                    6

0                                    1

4                                     6

3                                     6

3                                      6

5                                      6

2                                     5

Mean of Set A= 1+3+3+2+4+0+4+3+3+5+2/ 11= 30/11= 2.7272

Median of Set A= 0,1,2,2,3,3 ,3,3,4,4,5

Median   ( the middle value)=3

Mode( the repeated value)= 3

Quartiles

1st Quartile= n/4 value= 30/4= 7.5 which lies between 4th and 5th value

3rd quartile= 3n/4= 90/4= 22.5 which lies between 10 th and 11th value

Range= highest value- lowest value= 5-0=5

Standard Deviation = 1.354

In this mean ,median, mode and standard deviation are better measure of center as they give more information about the data.

The range and quartiles are better measure of spread.

Mean of Set B= 3+5+5+4+6+1+6+6+6+6+5/11=53/11=4.81818

Median of Set B= 1,3,4,5,5,5,6,6,6,6,6

Median ( the middle value)= 5

Mode ( the repeated value)= 6

Quartiles

1st Quartile= n/4 value= 53/4= 13.25 which lies between 4th and 5th value

3rd quartile= 3n/4= 159/4= 39.75 which lies between 9 th and 10 th value

Range= highest value- lowest value=6-1= 5

Standard Deviation= 1.5266

In this mean , standard deviation are better measure of center as they give more information about the data.

The median mode quartiles and range are better measure of spread.

A smaller standard deviation indicates that most of the observations are close to the mean while a large value implies that the observations are scattered widely about the mean.

The quartiles must be having values near 25% and 75% of the data.

The center gives a value which is located around the center

Mean: It gives the  average value.

Median:It is the  middle value when data is ordered from least to greatest.

The spread gives the value showing where the data may variate.

Range: Total spread is given by the range.

Standard deviation: How far a data point is from the mean.

Please help ! Please help!

Answers

6x + 2 = 62

6x + 2 - 2 = 62 - 2

6x = 60

6x / 6 = 60 / 6

x = 10

Find the angle between u=〈−2​,5〉 and v=〈5​,2〉 to the nearest tenth of a degree.

Answers

Answer:

angle is 1°

Step-by-step explanation:

[tex] \cos(u \: v \: ) = \frac{u \times v}{ |u| \times |v| } [/tex]

Chang is playing a game of chance in which he tosses

Answers

Answer:

3,405

Step-by-step explanation:

probability problem Plz help

Answers

The answer to number 3 is 1/60

m∠A+ m∠B = ? How do you know this?

Answers

Answer:

Step-by-step explanation:

If m∠A + m∠B = m∠B + m∠C, subtract  m∠B from both sides  [ subtraction property of equality ].

We get that m∠A  = m∠C     and by the  symmetric property of equality,  m∠C = m∠A

Simplify 8 . 3 . X
A.13x
B.24x
C.22x
D.48x

Answers

Answer:

D. 48x

Step-by-step explanation:

sana nakatulong

A wind machine used to generate electricity has blades that are 10m in length. The propeller is rotating at 5 revolutions per second. Find the linear speed of the tips of the
blades. Express your answer in terms of n and using units meters per second.
A. 120n m/sec
B. 60n m/sec
C. 100n m/sec
D. 30n m/sec

Answers

Answer:

[tex]

\mathbb{ ANSWER }[/tex]

C. 100n m/sec

sing the quadratic formula to solve x2 + 20 = 2x, what are the values of x?

Answers

Answer:

x = 1 ± i √ 19

Step-by-step explanation:

x = 1 ± i √ 19

20. An expression is shown.
2(x+3) - (x-1)
Create an equivalent expression without parentheses.
8
157+7

Answers

Answer:

What you have is correct:

8/15x+7

Step-by-step explanation:

6/5x+6-2/3x+1

18/15x-10/15x+6=

8/15x+7

r = 7 cm can someone help me find the answer?

Answers

Answer:

Answer to what exactly?

please help!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I don't know definitely, but in guessing A) 2X+3Y=-25    x-y=5

Step-by-step explanation:

2 times more than X, means that whatever x is, its multiplied by 2, giving 2X, also making it the larger number, even if y is a smaller number.

For example: x=5   2x5= 10, and y=3  3x3= 9

Im sorry if its wrong

The function f(x) is cubic function and the zeros of f(x) are -5,3 and 6. The y intercept of f(x) is 360. Write the equation of the cubic polynomial in standard form

Answers

250 to the law of 5 and you put 71

8.
Find the equation to the line passing through the point of intersection of the lines
3x + 14 =
2y and x + y = 6, and is also perpendicular to the line 5x =
6y + 1.

Answers

9514 1404 393

Answer:

  30x +25y = 148

Step-by-step explanation:

We can use substitution to find the point of intersection of ...

3x +14 = 2yx + y = 6

Using the second equation, we can write an expression for y:

  y = 6 -x

Substituting that into the first equation gives ...

  3x +14 = 2(6 -x)

  3x +14 = 12 -2x . . . . . eliminate parentheses

  5x = -2 . . . . . . . . . . . add 2x-14

  x = -0.4 . . . . . . . . . divide by 5

  y = 6 -(-0.4) = 6.4

__

Now, we want an equation for a line through the point (-0.4, 6.4) that is perpendicular to 5x = 6y+1

The perpendicular line will have the coefficients swapped with one of them negated. The constant will accommodate the given point.

  6x = -5y + c

  6(-0.4) +5(6.4) = c = 29.6

The perpendicular line can be written ...

  6x = -5y +29.6

In standard form, the equation is ...

  30x +25y = 148

How many favorable outcomes will there be for spinning the same color twice?

Answers

Answer:

3 favorable outcomes

There are three paths that end up with spinning the same color twice

Answer:

should be 3

Step-by-step explanation:

You can draw a quadrilateral with two sets of parallel lines and no right angles.

True
False

Answers

Answer:

The correct answer is true.

Step-by-step explanation:

You can draw a quadrilateral with two sets of parallel lines and no right angles, since a parallelogram lines up exact with the requirements.

Hope this helps! Have a great day :)

Please help i need to get these right or i fail WILL GIVE BRAINLEST!!!

Answers

Answer:

1. C 4x4x4x4x4

2. Power is 5 and the Square yards are 25

3. 2^3 ^2

Step-by-step explanation:

A school raised $4,589 in a magazine sale. Mr. Simmon's class raised 1 of the school's total. 100 How much money, in dollars, did Mr. Simmon's class raise? Enter the number in the box.​

Answers

Answer:

Money raised by Mr. Simmons class = $ 45.89

you measured the weight of every apple in a box and found the mean weight to be 13.2 ounces and the standard deviation to be 2.7 ounces. you then discover that your scale was weighing every apple as being 3 ounces heavier than their actual weight. what are the actual mean and standard deviation?​

Answers

Sorry I don’t know. Wish I could help

A plumber charges a customer a one-time service fee of $79, $62 per hour for labor, and a surcharge of $15 per hour due to the call being an emergency.

Write an expression to represent the total charges for the plumber in two different ways. Let h represent the number of hours the job takes.

Answers

Answer:

As a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:

Option 1:

Fixed amount + amount per hour multiplied by the number of hours + emergency amount multiplied by the number of hours = X

79 + 62H + 15H = X

Option 2:

Fixed amount + sum of emergency amount and the amount per hour multiplied by the number of hours = X

79 + ((62 + 15) x H) = X

help me please I will give brainliest!

Answers

Answer:

A.  y = 3x + 3

Step-by-step explanation:

The slope is 3 and the y-intercept is 3.  Therefore, answer A is correct

help please and thank you

Answers

The answer is A. If you multiple 0.3 and 17.2 you will get 5.16
The answer is A I used a calculator

x + 6.62 = 8.53

x = _

Answers

x=1.91

The easy way to find this is to subtract 8.53 from 6.62, which will give you 1.91.

I hope this helps and have a great day (Also brainliest would be appreciated but you don’t have to) :)

Answer:

x = 1.91

Step-by-step explanation:

x + 6.62 = 8.53

x + 6.62 - 6.62 = 8.53 - 6.62

x = 1.91

Find the perimeter of the figure below, in meters.
9.9 m
9.9 m
12 m
12 m
12 m
12 m
12 m
12 m

Answers

91.8 is the perimeter mark Brainly!

The volume of the polyhedron is ______ cm3.

Answers

Answer:

133.07 cm^3

Step-by-step explanation:

the polyhedron is a cone

volume of a cone =n r^2(h/3)

n = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

Radius = 5/2 = 2.5 in

h = height

(2.5^2 x 8) x 1/3 x 22/7 = 52.39 in^3

we need to convert inches to cm

1 in = 2.54 cm

2.54 x 52.39 = 133.07 cm^3

3.2 x 1.4 =
help help help pls

Answers

Answer:

4.48

Step-by-step explanation:

Answer:

4.48

Step-by-step explanation:

find the mean variance and standard deviation for the number of heads when a coin is tossed 30 times

Answers

Answer:

mean=10*1/2=5

variance=10*1/2*1/2=2.5

standard deviation=sqrt2.5=1.58

Step-by-step explanation: Hope this helps Have a good day :)

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