What is the solution to |x + 2| < 1?

Answers

Answer 1

Answer:

-3 <x <-1

Step-by-step explanation:

|x + 2| < 1

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

x+2 <1    and  x+2 > -1

Subtract 2 from each side

x+2-2 < 1-2  and  x+2-2 > -1-2

x < -1      and       x >-3

-3 <x <-1


Related Questions

SOMEONE HELP ME QUICK!!!

Answers

Answer:

75% probability

Step-by-step explanation:

calculating the total ratio and percentage

Emmy just bought a new laptop! She used a student discount code that took $50.75 off the original price. The discounted price of the laptop was $349.24. Let p represent the original price of the laptop. Which equation models the problem?

Answers

Answer:

can you show the equations?

Having some difficulty with this test, can you please help?

Answers

Answer:

y = 3/2x +1

Step-by-step explanation:

The y int = is 1 by observation

To calculate the slope it is rise over run

3/2 as for every 3 up the line moves 2 across

The Ramos family drove to their family reunion. Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours. After lunch, they drove at a constant rate of 45 miles per hour for 2 hours. How many total miles did the Ramos family drive? Miles

Answers

Answer:

ok so first they drove 55 for 3 hours so

55*3=165

and then they drove 45 for 2 hours

45*2=90

165+90=255

so in total they drove 255 miles

Hope This Helps!!!

The solution is : 255 miles total miles did the Ramos family drive.

What is speed?

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

here, we have,

given that,

The Ramos family drove to their family reunion. Before lunch, they drove at a constant rate of 55 miles per hour for 3 hours. After lunch, they drove at a constant rate of 45 miles per hour for 2 hours.

we get,

Journey before lunch:

Speed = 55 mph

Time = 3 hrs

distance = 55*3 = 165 miles.

Journey after lunch:

Speed = 45 mph

Time = 2 hrs

distance = 45 * 2 = 90 miles

Total miles driven

= distance traveled before lunch + distance traveled after lunch

= 165 miles + 90 miles

= 255 miles

Therefore, the Ramos family drove 255 miles in total.

To learn more on speed click:

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Which numbers are solutions to the inequality X > 14- 5? Check all that apply.
fractions larger than
14.
decimals larger than 14
145
whole numbers larger than 14
the number 14
fractions smaller than 14
2

Answers

Answer:

fractions larger than 14 and one-half

decimals larger than 14 and one-half

whole numbers larger than 14 and one-half

Step-by-step explanation:

Which numbers are solutions to the inequality x greater-than 14 and one-half? Check all that apply.

Given that the inequality is represented by [tex]x>14\frac{1}{2}[/tex], i.e. x > 14.5

This inequality represent all the set of real numbers which are greater than 14.5. Whereas numbers including 14.5 and below are not involved. Hence the numbers that are a solution to this inequality are:

fractions larger than 14 and one-half

decimals larger than 14 and one-half

whole numbers larger than 14 and one-half

HELP ASAP PLEASE NOWWWW!!!!!!!!!!!!!!!

Answers

(x - [3])² + (y- [2])² = 16

What is the shape of this distribution? A. Unimodal skewed B. Uniform C. Bimodal symmetric D. Unimodal symmetric E. Bimodal skewed​

Answers

Answer:

D

Step-by-step explanation:

It can't be C and B since it doesn't have two parts, and if it was uniform it would have another part attached to the bottom. Moreover, it can't be A since it isn't positively skewed or negatively skewed, so it must be D.

The shape of this distribution is Unimodal symmetric.

Option D is the correct answer.

What is a histogram?

A histogram is a representation of the distribution of data with intervals.

We have,

In statistics, a distribution is considered unimodal symmetric if it has a single mode or peak and is symmetric around that mode.

This means that the data is evenly distributed on both sides of the mode and is equally likely to occur on either side.

A common example of a unimodal symmetric distribution is the normal distribution, also known as the Gaussian distribution or bell curve.

Thus, the shape of this distribution is Unimodal symmetric.

Learn more about histograms here:

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what is the percentage of 690 out of 800

Answers

Answer:

the percentage of 690 out of 800 is 86.25%

Step-by-step explanation:

690/800 = 0.8625

0.8625*100 = 86.25

hope it helped :)

mark me brainliest

Answer:

86.25%

Step-by-step explanation:

find the distance between the points (-3,-2) and (1,-5)

Answers

the slope or distance is 4/-3

Find the equation of the line through the points (6, -9) and (-2, -1).

Answers

The answer is y= -x - 3

A strawberry and banana juice blend is made with a ratio of strawberry to banana of 2:3. Fill in the table to show different proportional amounts. Amount of strawberry Amount of banana 1 b. Explain why these amounts are proportional.​

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

Let

[tex]S \to[/tex] Strawberry

[tex]B \to[/tex] Banana

[tex]S : B = 2 : 3[/tex]

Solving (a):

Complete the table

The table, to be complete, is not given; so, I will generate one myself.

[tex]\begin{array}{cccccc}S & {2} & {3} & {4} & {5} & {6} \ \\ {B} & {3} & {4.5} & {6} & {7.5} & {9} \ \end{array}[/tex]

The table is generated as follows:

[tex]S : B = 2 : 3[/tex]

Multiply by 1.5

[tex]S : B = 2 * 1.5 : 3 * 1.5[/tex]

[tex]S : B = 3 : 4.5[/tex]

Multiply by 2

[tex]S : B = 2*2 : 3*2[/tex]

[tex]S : B = 4 : 6[/tex]

And so on....

In summary, whatever factor is multiplied to S must be multiplied to B; in order to keep the ratio constant

Solving (b): Why the amount are proportion

Because the ratio is constant and it remains unchanged all through.

help me pls beestar is not fun

Answers

Answer:

C.  3/9

Step-by-step explanation:

First, you need to understand what the tree diagram means.

You spin a three-color spinner once. You can get one of three results:

green, blue, or yellow. This is shown in the figure under "1st spin."

Now you spin the spinner a second time. This second spin can also have three outcomes, green, blue, or yellow. For each of the three outcomes of the first spin, you can have 3 different outcomes of the second spin. That is shown under the "2nd spin."

That means there are 9 possible outcomes (numbered from 1 to 9 below):

1. green, green

2. green, blue

3. green, yellow

4. blue, green

5. blue, blue

6. blue, yellow

7. yellow, green

8. yellow, blue

9. yellow, yellow

Each of the 9 outcomes above shows the outcome of the first spin followed by the outcome of the second spin. As you can see there are 9 different outcomes of the two spins.

Now count the number of outcomes that have the same color for the first and second spin. They are shown in bold below.

1. green, green

2. green, blue

3. green, yellow

4. blue, green

5. blue, blue

6. blue, yellow

7. yellow, green

8. yellow, blue

9. yellow, yellow

3 out of 9 outcomes are the same color twice.

Answer: C.  3/9

In a class of 55 students, 15 students like Math but not English and 18 students liked English but not Math. If 5 students did not like both, how many students liked both subjects? Represent the above information in a Venn-diagram.

Answers

See the venn-diagram in the picture.

Hope this helps! Please consider marking me the Brainliest, it’s not necessary, but very much appreciated. Have a great day!

Find the area of the rectangle whose dimensions are 5cm x 9cm.

Answers

Answer: 45

Step-by-step explanation: 9*5=45

Step-by-step explanation:

hope it helps you........

Find the volume of the cone shown as a decimal rounded to the nearest tenth.

Answers

Answer:

1866.10604

Step-by-step explanation:

V=3.14(r sqaured)1/3h

Arby's age is 6 years less than 7 times Anna's age. If Anna's age is x years, which expression best shows Arby's age?
A = x
B = 7x - 6
C = x - 1
D = 6x - 7

Answers

B = 7x - 6 is the correct answer.

B=7x -6 is the right answer !

Find DE. A.4 B.5/3 C.7 D.11

Answers

Answer:

DE = 11

Step-by-step explanation:

DE = x + 7

EF = 7

DF = 4x + 2

DF = DE + EF (segment addition postulate)

Substitute

4x + 2 = x + 7 + 7

4x + 2 = x + 14

Collect like terms

4x - x = -2 + 14

3x = 12

Divide both sides by 3

x = 12/3

x = 4

✔️DE = x + 7

Plug in the value of x

DE = 4 + 7

DE = 11

he area of a rectangle is 44m , and the length of the rectangle is less than twice the width. Find the dimensions of the rectangle.

Answers

Answer:

4m x 11m

Step-by-step explanation:

4 is your width. 11 is your length.

4 x 4=16 > 11

A rectangle ABCD is in scribed in a circle and E is a point on the circumference of the circle.Given that AE^2+BE^2+CE^2+DE^2=200 and the area of the circle is k pi ,find k​

Answers

Answer:

Rectangle ABCD is a square. ... Last edited by Bunuel on Feb 24, 2018 7:34 am, edited 2 times in total. ... No values are given. ... since the radius is half the diamter you get 5* area of  

If f(x) = 2x2 + 1, what is f(x) when x = 3?

Answers

Answer:

18

Step-by-step explanation:

f(x)=2x(2+1)

f(3)=2(3)(2+1)

    =6(2+1)

    =12+6

    =18

hi can you help me in mate plis
simplify the following algebraic expressions​

Answers

Answer:

3b

Step-by-step explanation:

[tex]\dfrac{24a^2b^4c^3}{8a^2b^3\sqrt[3]{c^9}} =[/tex]

[tex] = 3a^{2 - 2}b^{4 - 3} \times \dfrac{c^3}{c^\frac{9}{3}} [/tex]

[tex] = 3a^{0}b^{1} \times \dfrac{c^3}{c^3} [/tex]

[tex] = 3bc^{3-3} [/tex]

[tex] = 3bc^{0} [/tex]

[tex] = 3b [/tex]

Which of the following is ordered pair for point C?

Answers

Answer:

B. (4,2)

Step-by-step explanation:

Answer:

B(4,2)

Step-by-step explanation:

as you can see that if want to find coordinates u should know that the position of x and y is (x,y). So u can that c on the x is lower than 5 so that u can say it is 4 and y is too far away from 5 also u it will be 2.

in the diagram above,PQR=125°, QRS=r,RST=80°and STU=44°. Calculate the value of r​

Answers

Answer:

∆ PQR is congruent to ∆ STU

This means --

P = S

Q = T

R = U

R = 80°

S = P = 70°

So in ∆PQR, we know R = 80° , P = 70° and Q = ?

Using angle sum property of triangle,

P+ Q + R = 180°

70° + 80° + Q = 180°

150° + Q = 180°

Q = 30°

Hope This Helps :D

What is the value of x? 160° 51°​

Answers

Answer:

51= 1/2(160-x)

102=160-x

x=160-102=58

Step-by-step explanation:

Be sure to show your work and solve for h:
13 = h - 18 - 5

Answers

Answer:

h = 36

Step-by-step explanation:

13 = h - 23 (subtract)

13 + 23 = h (move to the other side)

36 = h (add)

On a coordinate plane, rhombus W X Y Z is shown. Point W is at (7, 2), point X is at (5, negative 1), point Y is at (3, 2), and point Z is at (5, 5).
What is the perimeter of rhombus WXYZ?

StartRoot 13 EndRoot units
12 units
StartRoot 13 EndRoot units
20 units

Answers

Answer:

[tex]P = 4\sqrt{13}[/tex]

Step-by-step explanation:

Given

[tex]W = (7, 2)[/tex]

[tex]X = (5, -1)[/tex]

[tex]Y = (3, 2)[/tex]

[tex]Z =(5, 5)[/tex]

Required

The perimeter

To do this, we first calculate the side lengths using distance formula

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

So, we have:

[tex]WX = \sqrt{(5- 7)^2 + (-1 - 2)^2[/tex]

[tex]WX = \sqrt{13}[/tex]

[tex]XY = \sqrt{(3-5)^2 + (2--1)^2}[/tex]

[tex]XY = \sqrt{13}[/tex]

[tex]YZ = \sqrt{(5-3)^2 + (5-2)^2}[/tex]

[tex]YZ = \sqrt{13}[/tex]

[tex]ZW = \sqrt{(7 - 5)^2 + (2 - 5)^2}[/tex]

[tex]ZW = \sqrt{13}[/tex]

The perimeter is:

[tex]P = WX + XY + YZ + ZW[/tex]

[tex]P = \sqrt{13}+\sqrt{13}+\sqrt{13}+\sqrt{13}[/tex]

[tex]P = 4\sqrt{13}[/tex]

Answer:

C on edge 2021

Step-by-step explanation:

I took the cumulative exam

Rewrite the equation 8x + 6x2 - 7= in standard form and identify a, b, and c.
Select one:
a. a =5,b= 8.c = -7
b.a=6,6= 8,0 = 1
ca=5,b=8,0= 7
da= 8,b= 6.c = -7
40

Answers

Answer:

a = 6

b = 8

c = -7

Step-by-step explanation:

In standard form, we have ;

y = ax^2 + bx + c

Here, we have;

6x^2 + 8x - 7

a is the coefficient of x^2 which is 6 in this case

b is the coefficient of x which is 8

c is the last number which is -7

So we have;

a = 6

b = 8

c = -7

Express 28 as the sum of three prime numbers
a) 3, 11 and 13
b) 5, 11 and 13
c) 2, 7 and 19
d) 2, 5 and 13​

Answers

Answer:

a

Step-by-step explanation:

because is a ok yo12222122221112w

Answer:

Option C is correct

Step-by-step explanation:

[tex]3 + 11 + 13 = 27[/tex]

[tex]5 + 11 + 13 = 29[/tex]

[tex]2 + 7 + 19 = 28[/tex]

[tex] 2 + 5 + 13 = 20[/tex]

Hope it is helpful....

Find the TWO integers whos product is -12 and whose sum is 1

Answers

Answer:

[tex] \rm Numbers = 4 \ and \ -3.[/tex]

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]

Hence the numbers are 4 and -3

Answer:

[tex] \displaystyle( {x}_{1} , y_{1}) =( - 3,4)\\ (x _{2}, y_{2}) = (4, - 3)[/tex]

Step-by-step explanation:

we are given two conditions

two integers whos product is -12two integers whos sum is 1

let the two integers be x and y respectively according to the first condition

[tex] \displaystyle xy = - 12[/tex]

according to the second condition:

[tex] \displaystyle x + y = 1[/tex]

now notice that we have two variables therefore ended up with a simultaneous equation so to solve the simultaneous equation cancel x from both sides of the second equation which yields:

[tex] \displaystyle y = 1 - x[/tex]

now substitute the got value of y to the first equation which yields:

[tex] \displaystyle x(1 - x) = - 12[/tex]

distribute:

[tex] \displaystyle x- {x}^{2} = - 12[/tex]

add 12 in both sides:

[tex] \displaystyle x- {x}^{2} + 12 = 0[/tex]

rearrange it to standard form:

[tex] \displaystyle - {x}^{2} + x + 12 = 0[/tex]

divide both sides by -1:

[tex] \displaystyle {x}^{2} - x - 12 = 0[/tex]

factor:

[tex] \displaystyle ({x} + 3)(x - 4) = 0[/tex]

by Zero product property we acquire:

[tex] \displaystyle {x} + 3 = 0\\ x - 4= 0[/tex]

solve the equations for x therefore,

[tex] \displaystyle {x}_{1} = - 3\\ x _{2} = 4[/tex]

when x is -3 then y is

[tex] \displaystyle y _{1}= 1 - ( - 3)[/tex]

simplify

[tex] \displaystyle y _{1}= 4[/tex]

when x is 4 y is

[tex] \displaystyle y _{2}= 1 - ( 4)[/tex]

simplify:

[tex] \displaystyle y _{2}= - 3[/tex]

hence,

[tex] \displaystyle( {x}_{1} , y_{1}) =( - 3,4)\\ (x _{2}, y_{2}) = (4, - 3)[/tex]

which number produces a rational number when added to 0.25

Answers

0.65 is the correct one if not up there try 0.45 other possible one

Step-by-step explanation:

A rational number is defined as any number which can be expressed in fractional p/q of two integers, where 'p' is the numerator and 'q' is the denominator. 'q' can never be zero. A rational number can also be expressed as a terminating decimal. So, when 0.25 is added in 0.45 it becomes 0.65 which is rational.

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