Solve the inequality.|11 xl < 20[?] < x < [ ]

Answer:-9<x<31Step-by-step explanation:|11 xl < 20There are two solutions, one positive and one negative, remember to flip the inequality for the negative11-x < 20 and 11 -x > -20Subtract 11 from each side11-x-11 <20-11 and 11-x-11 >-20-11-x <9 and -x > -31Multiply each side by -1, remembering to flip the inequalityx>-9 and x< 31-9<x<31

Mathematics High School

Solve the inequality.
|11 – xl < 20
[?] < x < [ ]

Answers

Answer 1

Answer:

-9<x<31

Step-by-step explanation:

|11 – xl < 20

There are two solutions, one positive and one negative, remember to flip the inequality for the negative

11-x < 20 and 11 -x > -20

Subtract 11 from each side

11-x-11 <20-11 and 11-x-11 >-20-11

-x <9 and -x > -31

Multiply each side by -1, remembering to flip the inequality

x>-9 and x< 31

-9<x<31

Related Questions

I need help with this question...

Q: Five days last month it rained 6.5 inches. It rained 3.5 inches in 7 days last month. How many inches did it rain those 12 days?

Answers

Answer:

57 inches

Step-by-step explanation:

It rained 5*6.5+7*3.5=32.5+34.5=57 inches in the past 12 days

Segment EF has one endpoint located at E (-7, 2) and its midpoint is located at M (0.5, 4). What are the coordinates of point F? Show all work.
100 POINTS

Answers

Answer:

F(8, 6)

Step-by-step explanation:

Use midpoint formula to find the missing F(x, y):

M = (E + F)/2(-7 + x)/2 = 0.5 ⇒ -7 + x = 1 ⇒ x = 1 + 7 = 8(2 + y)/2 = 4 ⇒ 2 + y = 8 ⇒ y = 8 - 2 = 6

Using Midpoint formula

[tex]\boxed{\sf M=\dfrac{x_1+x_2}{2},\dfrac{x_2+y_2}{2}}[/tex]

E(-7,2)M(0.5,4)F(x,y)

[tex]\\ \sf\longmapsto (0.5,4)=\left(\dfrac{-7+x}{2},\dfrac{2+y}{2}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{-7+x}{2}=0.5[/tex]

[tex]\\ \sf\longmapsto -7+x=1[/tex]

[tex]\\ \sf\longmapsto x=1+7[/tex]

[tex]\\ \sf\longmapsto x=8[/tex]

And

[tex]\\ \sf\longmapsto \dfrac{2+y}{2}=4[/tex]

[tex]\\ \sf\longmapsto y+2=8[/tex]

[tex]\\ \sf\longmapsto y=8-2[/tex]

[tex]\\ \sf\longmapsto y=6[/tex]

F(x,y)=(8,6)

Hi i need help asap my parent taught me how to do this equation (x^2-4x)^2+7x^2-28x+12=0 but i still dont understand I really need help understanding this i know the answer i just need an explanation please help me

Answers

Answer:

x = 1, x = 2, x = 3

Step-by-step explanation:

Hello, please consider the following.

[tex](x^2-4x)^2+7x^2-28x+12=0 \\\\(x(x-4))^2+7x(x-4)+12=0\\\\\text{Let's note }X = x(x-4)\text{ the equation becomes}\\\\X^2+7X+12=0\\\\\text{The sum of the zeroes is -7=-3+(-4) and the product is 12=(-4)*(-3).}\\\\\text{Wo we can factorise.}\\\\X^2+7X+12=X^2+4X+3X+12=X(X+4)+3(X+4)=(X+4)(X+3)=0\\\\X=-4 \ \ or \ \ X=-3[/tex]

So we need to solve:

[tex]x(x-4)=-4 \ \ or \ \ x(x-4)=-3\\\\<=> x^2-4x-4=(x-2)^2=0 \ \ or \ \ x^2-4x+3=(x-1)(x-3)=0[/tex]

So, the solutions are x = 2, x = 1, x = 3

Thank you

true or false the ratio of the circumfernce of a circle to its diameter is called pi

Answers

That's true. Pi is known to be defined as the ratio of the circumference of a circle to its diameter.

True pi is the circumference of the diameter

2.) Which expression has a value of -4?
A. (4) B. 1-41
C. 141
D.-141
3.) Which list of integers is in order from least to greatest?
A. -4,-7,0, 2
B. 0, 2, -4,-7
C-7, -4,0,2
D 2,0, -7,-4
I
4.) What is the value ofthe expression?
A -45 B. 19 C. 19
11+-24 + (-32)
D. 67
5.) Find the difference.
A. -47 B. -17
-32-(-15)
C. 17 D. 47
P

Answers

2.)a 3.)b 4.)a 5.)a
............

If a graph is a line, it will always have a domain of all real numbers.
True or False

Answers

Answer:

i think its true.

Step-by-step explanation:

Hope it helps!

From 38 to 316 inclusive,how many integers can be found that are multiples of 12? 20 Points!

Answers

Answer:

The first multiple of 12 after 38 is 48.

The first multiple of 12 before 316 is 312.

So we have, 48, 60, 72... 312.

Divide by 12...

4, 5, 6, ... 26

Subtract 3 from each term to get... 1, 2, 3... 23

So there are 23 terms!

Hope this helps!

if f(x)=3x+6 what is the inverse of f(x)

Answers

Answer:

The inverse is 1/3x-2

Step-by-step explanation:

y = 3x+6

Exchange x and y

x = 3y+6

Solve for y

Subtract 6 from each side

x-6 = 3y+6-6

x-6 = 3y

Divide by 3

x/3 -6/3

1/3x -2 = y

The inverse is 1/3x-2

Answer:

[tex]f^{-1} (x)=\frac{1}{3}x-2[/tex]

Step-by-step explanation:

Replace f(x) with y

y=3x+6

Swap x and y

x=3y+6

Solve for y

3y=x-6

y=1/3x-2

Please help me it’s important i will give yo u brainlest

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]g(x)=4*\dfrac{x-3}{5} \\g(-7)=4*\dfrac{-7-3}{5} =4*\dfrac{-10}{5} =4*(-2)=-8\\\\[/tex]

[tex]f(a)=-|-3a-1|\\f(-1)=-|-3*(-1)-1|=-|3-1|=-|2|=-2\\\\[/tex]

[tex]f(a)=4^{a+2}+3\\f(1)=4^{1+2}+3=4^3+3=64+3=67\\\\[/tex]

[tex]p(t)=\dfrac{5\sqrt{2t+8} }{4} +3\\p(4)=\dfrac{5\sqrt{2*4+8} }{4} +3\\=\dfrac{5\sqrt{16} }{4} +3\\=\dfrac{5*4 }{4} +3\\=5+3\\=8\\[/tex]

HELP ASAP THANKS!!!!!!!!!!!!!!! Brainliest to right answer!!!

Answers

Answer:

A & C

Step-by-step explanation:

A and C have a value of 1.4142 as does the problem in the question.

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.

Two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 1, median at 20, Q3 at 25, maximum at 50. The bottom box plot is labeled Females. Minimum at 0, Q1 at 5, median at 6, Q3 at 10, maximum at 18 and a point at 43

Part A: Estimate the IQR for the males' data. (2 points)

Part B: Estimate the difference between the median values of each data set. (2 points)

Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)

Part D: Provide a possible reason for the outlier in the data set. (2 points)

Answers

Answer:

The formula for iqr is q3 - q1

Step-by-step explanation:

The box plot is a visual way of presenting a dataset where the rectangle is used to represent the quartiles.

The IQR of the male dataset is 24.The difference in median of both datasets is 14.The best measure of center to use for the female box plot is the median. The best measure of center to use for the male box plot is the mean.A possible reason for an outlier is human error.

The given parameters are:

Male: Female

[tex]Minimum = 0[/tex] [tex]Minimum = 0[/tex]

[tex]Q_1 = 1[/tex] [tex]Q_1 = 5[/tex]

[tex]Median = 20[/tex] [tex]Median = 6[/tex]

[tex]Q_3 = 25[/tex] [tex]Q_3 = 10[/tex]

[tex]Maximum = 50[/tex] [tex]Maximum = 18[/tex]

A. IQR for male dataset

The IQR is calculated as follows:

[tex]IQR = Q_3 - Q_1[/tex]

For the male's data:

[tex]IQR = 25-1[/tex]

[tex]IQR = 24[/tex]

Hence, the IQR of the male dataset is 24.

B. Difference in median values

We have:

[tex]Median = 20[/tex] ----- Male dataset

[tex]Median = 6[/tex] ----- Female dataset

So, the difference (d) is:

[tex]d = 20 - 6[/tex]

[tex]d = 14[/tex]

Hence, the difference in median of both dataset is 14.

C. Best measure of center

The female box plot (see attachment) has an outlier. This means that the measure of center to use for the female dataset is the median.

The male box plot has no outlier; this means that the mean can be used as a measure of center for the male box plot

D. Reason for outlier

There are several reasons that could cause an outlier in a dataset. One of the reasons is human error during data entry

Answers

Answer/Step-by-step explanation:

1. <B is an inscribed angle in a circle which intercepts arc AC.

Therefore, m<B = ½ of m<AC

B = ½ * 128° = 64°

x = 180 - (64 + 43)

x = 180 - 107 = 73°

2. The circle given shows two chords intersecting at point H.

According to intersecting chords theorem, the products of the segments formed by one chord equals the product of the segments formed by the other.

Therefore,

[tex] 10*x = 14*5 [/tex]

Solve for x

[tex] 10x = 70 [/tex]

Divide both sides by 10

[tex] x = 7 [/tex]

Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. -7.5 and 5.4

Answers

Answer:

-2.1

Step-by-step explanation:

because -7.5 + 5.4 = -2.1

how do you find the length of the hypotenuse when you have only the length of the altitude of the hypotensuse and a length of a leg?

Answers

Answer:

By using The Pythagorean Theorem:

[tex]/Hypotenuse/^{2} = /Length of altitude/^{2} + /Length of leg/^{2} \[/tex]

/Hypotenuse/ = [tex]\sqrt\ /Length of altitude/^{2} + /Length of leg/^{2} \}[/tex]

Step-by-step explanation:

The Pythagorean theorem states that: Given a Right-angled triangle, the square of the hypotenuse equals the sum of squares of the other two sides ( Here, being the length of the altitude and length of leg). That is,

[tex]/Hypotenuse/^{2} = /Length of altitude/^{2} + /Length of leg/^{2} \[/tex] and hence,

/Hypotenuse/ = [tex]\sqrt\ /Length of altitude/^{2} + /Length of leg/^{2} \}[/tex]

For example, If the length of the altitude is 4m and the length of leg is 3m. Using The Pythagorean theorem, the length of the hypotenuse will be

[tex]/Hypotenuse/^{2} = /Length of altitude/^{2} + /Length of leg/^{2} \\\/Hypotenuse/ = \sqrt{/Length of altitude/^{2} + /Length of leg/^{2}} \\/Hypotenuse/ = \sqrt{4^{2} + 3^{2} }[/tex]

[tex]/Hypotenuse/ = \sqrt{16+9} \\/Hypotenuse/ = \sqrt{25} \\/Hypotenuse/ = 5m[/tex]

The length of the hypotenuse for the given example will be 5m.

This is how to find the length of an hypotenuse.

Bart opens a bank account and deposits $10 each week. If he has $90 in his account, how many weeks has he been depositing money?

Answers

The number of weeks Bart has been depositing money is 9 weeks according to investment and time.

The number of weeks of money depositing will be given by the formula -

Number of weeks = total amount deposited each week/total number of weeks × 100

Keep the values in formula to find the number of weeks of money deposit

Number of weeks = 90/10

Perform division that will include cancelling zeroes

Number of weeks = 9

Hence, Bart deposited the money for 9 weeks.

Learn more about calculations on division -

https://brainly.com/question/28119824

#SPJ1

Malia measures the longer side of a dollar bill using a ruler at school. Which of the following is most likely the quantity she measured?

Answers

Answer:

Step-by-step explanation:

The most likely quantity is centimetres.

The second option can be inches.

Hope this helps

plz mark it as brainliest!!!!!!!!!

What is the least common multiple of 46, 49, and 17?

Answers

Answer:

38318

Step-by-step explanation:

Break the numbers into prime factors

46 = 23*2

49 = 7*7

17 = 17*1

The least common multiple is

23*2*7*7*17 = 38318

I need help factoring this question, Factor 4(20) + 84.

Answers

Answer:

164

Step-by-step explanation:

B for brackets

O for of

D for division

M for multiplication

A for addition

S for subtraction

You first start with the brackets (20) and multiply with 4 which is equal to 80 and then add it to 84 which makes 164

I hope this helps

The circumference of a circle is 6pi inches. What is the area of the circle

Answers

Answer:

B0 A = 9 Pi

Step-by-step explanation:

c = 6 Pi (given)

c = Pi 2r (standard formula)

r = c / (2 Pi)

r = 6 Pi / (2 Pi) = 3 (substitute 6 Pi for c)

A = Pi r**2

A = Pi 3**2

A = 9 Pi

I need help asap!!!

Answers

There are 360° total in a circle, so AB is half of the circle so it’s 180°. CBA is 180° also. 180°+55°=235°, 360-235= 125° which is AC

To paint a wooden cube, Pinocchio used 4 gram of paint. When it is dry, he cut the cube into 8 equal cubes of smaller size. How much paint additional paint does Pinocchio need to paint the unpainted surfaces of smaller cubes?

Answers

Answer:

game1321.netlify.app

Step-by-step explanation:

This is a test sorry I'm trying to see if you can post links in comments

A: m_1 = m_4
B: m_2 = m_3
C: m_1 + m_4 = 180°
D: m_2 + m23 = 180°

Answers

Answer:

Step-by-step explanation:

PLS HELP I WILL GIVE BRAINLIST AND A THANK YOU!!!!! :)

Answers

Answer:

Step-by-step explanation:

Both angles together are supplementary, or they add up to 180 degrees.

(3x+12)+x=180 degrees

Answer:A. (3x+12)+x=180

Step-by-step explanation:

A certain drug is made from only two ingredients: compound A and compound B. There are 3 milliliters of compound A used for every 2 milliliters of compound B. If a chemist wants to make 280 milliliters of the drug, how many milliliters of compound B are needed?

Answers

Answer:

42 milliters of compound B are needed......Actually I am not sure hope this may urr answer....

Happy D's Playland charges a $100 flat
fee for parties plus $1.50 per person.
Marta has $125 to spend. Which
inequality could help Marta find the
number of people she can invite?

Answers

Answer:

$16.66

Step-by-step explanation:

$125-$100 = $25

since its $1.50 per person, we do $25 DIVIDED by $1.50 = $16.66.

i hoped this helped :)

Use number properties to simplify the following expression.

-5 + (5 + 3)

In the box below, show each step in simplifying the expression and explain which property you used in each step.

Answers

Answer:

-5 + (5 + 3) =(-5 + 5) + 3 = 0 + 3 = 3

[tex]\\ \sf\longmapsto -5+(5+3)[/tex].

Remove brackets

[tex]\\ \sf\longmapsto -5+5+3[/tex]

[tex]\\ \sf\longmapsto (-5+5)+3[/tex]

[tex]\\ \sf\longmapsto 0+3[/tex]

[tex]\\ \sf\longmapsto 3[/tex]

Rational number between 1/3 and 1/9

Answers

Answer:

2/9

Step-by-step explanation:

LCM of 3 and 9 = 9

[tex]\dfrac{1}{3}=\dfrac{1*3}{3*3}=\dfrac{3}{9}\\\\\\Rational \ number \ between \dfrac{1}{9} \ and \dfrac{3}{9} \ is \dfrac{2}{9}[/tex]

answer the question pls

Answers

Answer:

Question number 8 u place the number 1 line before -1 on the left.

Step-by-step explanation:

cuhcuhcuhcuchcuhcuhc

True, sometimes true, or false?

The multiple of two consecutive integers is positive

Answers

Answer: sometimes true

Step-by-step explanation: if the integers are both positive or both negative, the product will always be positive. If the integers are negative and positive, then the answer will be negatove

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: X < 10
Hope this helps!

Answer:

x<10

Step-by-step explanation:

On the number line it shows that the dot is at 10. Since the dot is not colored in, we know it's not greater/less than or equal to. Greater/less than or equal to is where it shows the symbol, but it's underlined, like this: ≤. Only when the dot is colored in, is there a possibility it is greater/less than or equal to. So it can be greater than or less than something. Since it starts at 10 and is decreasing, it is going to be less than.

X will be less than something. And because the dot is at 10, it means 10 was the start. X is less than 10 since the arrow is pointing to where the numbers are decreasing. So, x<10.

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Solve the inequality. |11 – xl < 20 [?] < x < [ ]

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Solve the inequality.
|11 – xl < 20
[?] < x < [ ]