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

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

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:

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

Answers

Answer:

Answer to what exactly?

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

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]

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

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 :)

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

probability problem Plz help

Answers

The answer to number 3 is 1/60

Chang is playing a game of chance in which he tosses

Answers

Answer:

3,405

Step-by-step explanation:

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:

Please help ! Please help!

Answers

6x + 2 = 62

6x + 2 - 2 = 62 - 2

6x = 60

6x / 6 = 60 / 6

x = 10

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!

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]

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)

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

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 :)

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

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

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

Answers

Answer:

D. 48x

Step-by-step explanation:

sana nakatulong

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.

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

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

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

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

3.2 x 1.4 =
help help help pls

Answers

Answer:

4.48

Step-by-step explanation:

Answer:

4.48

Step-by-step explanation:

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

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

Other Questions
3. The patties can be served with salsa orText Cell division is not only for generating copy of DNA . Why ? A fair coin and a spinner with anequal chance of landing on thenumbers 1, 2, 3, 4, 5, and 6 are usedin a game. What is the probability ofgetting an even number on thespinner and heads on the coin?A 1/12B 1/6C 1/4D 1/2 Whos a better rapper?Popsmoke or KingVon? Which Portuguese invention made exploration of seas and rivers easier?a.the Mercator mapb.the caravel Ella and Olivia are sisters. Both sisters are taller than average, but each sister has specific traits the other sister does not. Ella is a competitive swimmer who trains outside in the summer. Her hair is bleached blond by the sun and chlorine in the pool water. Her many hours of practice have made her fit and muscular. Olivia loves to help people and wants to become a nurse someday. She volunteers every week at the nursing home where her great-grandmother lives. She walks the residents to and from their daily activities, and in the evening during dinner, plays the piano beautifully for them. Which of the following traits is inherited? a Piano Skills b Strong muscles c height d sun-bleached hair Although both documents were intended to persuade, the styles of The Declaration of Independence and thePreamble were different because _____.a. Jefferson used rhetorical language in The Declaration of Independenceb. Madison and the Committee of Style used rhetorical language in the Preamblec. Jefferson's audience consisted of the colonists, and was therefore, limitedd. the audience of the Preamble was limited to delegates, or government representatives BOTS ARE LEGIT EVERYWHERE LIKE I CANT EVEN FIND A SPOT FOR PPL TO POST THEIR REAL ANSWER PLS ANYONE, BRAINLY NEEDS TO BE BETTER AT THIS Olga tried to solve an equation step by step.\begin{aligned} \dfrac14\left(\dfrac13k+9\right)&=6 \\\\ \dfrac13k+9&=24&\green{\text{Step } 1} \\\\ \dfrac13k&=15&\blue{\text{Step } 2} \\\\ k&=5&\purple{\text{Step } 3} \end{aligned} 41 ( 31 k+9)31 k+931 kk=6=24=15=5Step 1Step 2Step 3Find Olga's mistake. who has more total passing yards tony romo or Andy Dalton I WILL GIVE BRAINLIST!!!!REPLY IN FULL SENTENCES TOOhow did the actions of French or English kings helped to unify their kingdoms into nations. A 1.0F capacitor with an initial stored energy of 0.50 J is discharged through a 1.0M resistor. (a) What is the initial charge on the capacitor? (b) What is the current through the resistor when the discharge starts? Find an expression that gives, as a function of time t, (c) the potential difference V C across the capacitor, (d) the potential difference V R across the resistor, and (e) the rate at which thermal energy is produced in the resistor. An agricultural extension (______) helps farmers and producers stay informed about current practices and technologies Can anyone help me with a summary for Matilda? Thank you Find the total surface area of thefollowing square pyramid:6 cm8 cmSA = [?] cm2 What did the experiments of Griffith and Avery show about genetic information ? Choose all the answers that apply.Jupiter:rotates upside-downis the largest planetis the most massive planetis the least dense planethas retrograde rotation PLEASE ANSWER QUICKLY, I WILL LOVE YOU FOREVER. AND GIVE YOU THE BRAINLY THINGYThe scatter plot shows the average movie ticket prices since 1995.write an equation in slope intercept form for the line that is drawn use your equation to make a conjecture about the average cost of a movie ticket in 2020 What is the average of 87 and 62 NO LINKS PLEASE help