How do you solve the inequality; |X| < 8

Answers

Answer 1

Answer:

(-8,8)

Step-by-step explanation:

[tex] |x| < 8 \\ - 8 < x < 8 \\ x > - 8 \: and \: x < 8 [/tex]

The "and" meaning for intercept

How Do You Solve The Inequality; |X| &lt; 8

Related Questions

jose runs 6 miles per hour. Which expression can be written to represent the number of miles Jose runs in y minutes?

Answers

Answer:

10 minutes per mile

Step-by-step explanation:

theres no answer soooo i dont think this one is right

The diagonals of a rhombus are 30cm and 16cm. Find its area, the length of a side and its perimeter.​

Answers

Answer:

Area = 1/2 × product of diagonalsso area = 1/2 × 30 ×16 = 240 cm²

also diagonals bisect each other at right angles so 1/2×30= 15cm,, 1/2× 16 = 8cm

therefore by pythagoras theorem,

[tex] {15 }^{2} [/tex]+ [tex]{8}^{2} [/tex]= [tex] {side}^{2} [/tex][tex] \sqrt{289 = side} [/tex]

side = 17

Perimeter = 4×17 =68 cm.

Answer:

Step-by-step explanation:

[tex]\large \boldsymbol {} \tt Formulas : \\\\d_1^2+d_2^2=4a^2 \\\\S=\dfrac{1}{2} d_1d_2 \\\\ \ where \ S \ is \ the \ area \ of \ the \ rhombus \ ;\\\\\ and \ d_1 \ and \ d_2 \ are \ its \ diagonals \ ; \ and \ a \ , \\\\\\ respectively, \ is\ the \ side \ of\ the rhombus \\\\ then : \\\\ 4a^2=16^2+30^2 \\\\ 4a^2=1156 \\\\a^2=289 \\\\a=17 \ \ then \ P=4a=17*4=\boldsymbol {68} \\\\ \tt S=\dfrac{1}{2} \cdot 30 \cdot 16 =\boldsymbol {240 } \\\\ Answer : S=240 \ ; a=17 \ ; \ P=68 \ ;[/tex]

Write the explicit rule of the arithmetic sequence that has a first term of 3 and a fourth term of 18

Answers

Answer:

[tex]a_{n}[/tex] = 5n - 2

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₄ = 18 , then

a₁ + 3d = 18 , that is

3 + 3d = 18 ( subtract 3 from both sides )

3d = 15 (divide both sides by 3 )

d = 5

Then

[tex]a_{n}[/tex] = 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2 ← explicit rule

Factorise : a²+b²-c²+2ab​

Answers

Answer:

Step-by-step explanation:

a²+b²-c²+2ab

=a²+b²+2ab-c²

=(a+b)²-c²

=(a+b+c)(a+b-c)

Can someone help me with (Geometry)

Answers

Step-by-step explanation:

I think the fig.. will helps you a lot...

Para elaborar 1 kg de masa para pastel se emplean 2 de kilogramo de harina, ¿cuántos kilogramos 5
de harina se usan para hacer 3 1 kilogramos de masa para pastel? 2
A) 8 3/4
B) 3 9/10
C) 1 2/5
D) 1 2/

Answers

El kilogramo de harina necesario para hacer 3 1/2 kg de mantequilla para pasteles es 1 2/5 kg

1 kg de mantequilla de bizcocho = 2/5 kg de harina

Deje que la cantidad de kg de harina necesaria para hacer 3 1/2 kg de mantequilla de torta = b

Expresando Matemáticamente:

1 kg = 2/5

1 kg = 2/53 1/2 kg = b

1 = 2/5

3 1/2 = b

Multiplicar en cruz:

b = 3,5 × 0,4

b = 1,4

Por lo tanto, el kilogramo de harina requerido para hacer 3 1/2 kg de mantequilla para pasteles es 1 2/5 kg

Más información: https://brainly.com/question/18112348

Graph y - 4x + 3 = 0 and {(x , y ): x ≤ 1}. Click on the graph until the correct graph appears.

Answers

the third graph is the correct choice. the graph has a y-intercept at -3, with a slope of 4, and shading to the right of x=1

Frito lay mix variety in pack 28 bags for 9.88 cost per bag

Answers

Answer:

Each bag costs 0.35 cents

Step-by-step explanation:

divide 9.88 by 28 and that gives you the total for each bag of chips

Write the equation of the line in fully simplified slope-intercept form.

Answers

Slope intercept form: y=mx+b
Slope for this graph: -10/12=-5/6
Simplified slope intercept form: y=-5/6x-2

evaluate the expression when a=5.
a² - 17​

Answers

Answer:

8

Step-by-step explanation:

[tex]5^{2}[/tex]−17

=25−17

=8

To find 15, Beau found 32 = 9 and 4 = 16. He said that since 15 is between 9 and 16,15 must be between 3 and 4. He thinks a good estimate for 15 is 3+4 = 3.5. Is Beau's estimate high, low, or correct? Explain.​

Answers

Answer:

Answer: His estimate was low

Step-by-step explanation:

It's true that √16 is 4 and that √9 is 3

for √15 :

[tex] \sqrt{15} = 3.9[/tex]

It's true that √15 lies between 3 and 4

[tex] \sqrt{15} : 3 < x < 4[/tex]

Estimated answer :

[tex] = 3.5[/tex]

Exact answer :

[tex] = 3.9[/tex]

Therefore, the error:

[tex] \delta x = 3.9 - 3.5 \\ \\ = 0.4[/tex]

Since error is less than 0.5, his estimation was moderate, [ low ]

Julio is playing a trivia game. On his first turn, he lost 100 points. On his second turn he lost 75 points. On his third turn, he lost 85 points. Write a sum of three negative integers that models the change to Julio's score after his first three turns.

Answers

Answer:

Step-by-step explanation:

The change in his total score is the sum of the losses -100 + (- 75 ) +(- 85 ) = - (100 + 75 + 85 ) = - 260

NEED ANSWERS FAST!! please

Answers

Cant see the answer choices
Where’s the choices ?

You are installing a fence around your yard. In the figure,
your yard is rectangle ABCD. Each unit in the coordinate
plane represents 10 feet.
a. What is the perimeter of your entire yard
b. You consider only installing a fence around your backyard represented by rectangle ABEF what is the perimeter of your backyard?
c. The cost of fencing is $50 for each 6 foot section how much do you say by only installing a fence in the backyard?

Answers

Perimeter of a shape can be determined by the sum of its individual sides. Thus, the answers to the given questions are:

(a) 360 feet

(b) 240 feet

(c) $1000.0

Perimeter can simply be defined as the sum of all sides of a given figure or shape. Thus, the solutions required can be determined as follows:

(a) Side AB = CA = (7 - 1) x 10 feet

                            = 6 x 10 feet

                            = 60 feet

    Side AD = BC = 13 - 1

                            = 12 x 10 feet

                            = 120 feet

The perimeter of the entire yard = 60 + 120 + 60 + 120

                                                      = 360

Perimeter of the entire yard = 360 feet

(b) Side AB = EF = 60 feet

    Side FA = BE = (7 -1) x 10 feet

                                    = 60 feet

So that,

The perimeter of the backyard = 60 feet x 4

                                     = 240

Perimeter of the backyard = 240 feet

(c) The cost of installing a fence in the entire yard = [tex]\frac{360}{6}[/tex] x $50

                                     = $3000.0

 The cost of installing a fence in the back yard = [tex]\frac{240}{6}[/tex] x $50

                                    = $2000.0

The amount saved by only installing a fence in the back yard = $3000.0 - $2000.0

                                   = $1000.0

Thus, the amount saved by only installing a fence in the back yard is $1000.0

Visit: https://brainly.com/question/23123059

1. A cube measures 4cm on each side and has a mass of 12 grams. What is the
density of the cube?

Answers

Answer:  0.1875 grams per cm^3

Explanation:

First we need to find the volume of the cube

volume = length*width*height = 4*4*4 = 64 cubic cm

Then we'll divide the mass over this volume to get the density

density = mass/volume

density = (12 grams)/(64 cm^3)

density = (12/64) grams per cm^3

density = 0.1875 grams per cm^3

The notation cm^3 is another way of saying "cubic centimeter" as shorthand.

calculate the size of unknown angles​

Answers

Hi! I'm happy to help!

We know that 2y=150, so we can divide both sides by 2 to find the angle of y

2y=150°

÷2  ÷2

y=75°

So, y=75°.

I hope this was helpful, keep learning! :D

can anyone solve this problem?​

Answers

Answer:

[tex] \sqrt{2 + \sqrt{2 + \sqrt{81 + 2 \sqrt{1568} } } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{81 + 2 \times 28 \sqrt{2} } } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{81 + 56 \sqrt{2} } } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{81 + 79.2} } } \\ = \sqrt{2 + \sqrt{2 + \sqrt{160.2} } } \\ = \sqrt{2 + \sqrt{2 + 4 \sqrt{10} } } \\ = \sqrt{2 + \sqrt{2} \sqrt{1 + \sqrt{2} \sqrt{10} } } \\ = \sqrt{2 + \sqrt{2} \sqrt{1 + \sqrt{20} } } \\ = \sqrt{2 + \sqrt{2} \sqrt{1 + 2 \sqrt{5} } } \\ = \sqrt{2 + \sqrt{2} \times \sqrt{5.5} } \\ = \sqrt{2 + \sqrt{11} } \\ = \sqrt{2 + 3.3} \\ = \sqrt{5.3} = 2.3[/tex]

[tex]thank \: you[/tex]

Answer:

1 + √2

Step-by-step explanation:

Start with the inner root:

81 + 2√1568 = 49 + 2*28√2 + 32 = 7² + 2*7*4√2 + (4√2)² = (7 + 4√2)²

Move to next one:

2 + 7 + 4√2 = 1 + 2*2√2 + 8 = 1² + 2*2√2 + (2√2)² =  (1 + 2√2)²

The last one:

2 + 1 + 2√2 = 1 + 2√2 + 2 = 1² + 2*1*√2 + (√2)² = (1 + √2)²

The root of the last one is:

1 + √2

find the number by which 5400 must be multiplied so that the product is a perfect cube.

Also find the cube root of the number obtained.

( Show workings )​

Answers

Answer:

Step-by-step explanation:

The easiest way (or the most reliable way) is to factor the given number into primes

5400 = 2 * 2 * 2 * 3 * 3 * 3 * 5 * 5

I cheated a little bit. 54 = 2 * 27 which is 2 * 3 * 3 * 3

100 = 2 * 2 * 5 *5

Combine the two parts and you get the factors I gave you.

Now you have to have the numbers go into groups of three. The only adjustment needed is 5 * 5 and one more 5

So the perfect cube is 5400 * 5 = 27000

Does that work? It should

27000^(1/3) = 3 * 10 = 30

So the cube root of 27000 is 30.

1). 3x-8 for x=5

2). 5(x+7)-1 for x = -3

Answers

1. =7
2.=19
Please let me know if you got it correct!

18)
Christopher's cell phone company
charges a monthly'rate of $56 plus
$0.95 per gigabyte of data used,
and $0.08 per text message sent.
Christopher sent 55 text messages
messages in April and received a bill
for $68.00. How much data did he
use?

Answers

Answer:

8 GB

Step-by-step explanation:

Cost = sum of fees 1, 2, and 3

C = 56 + .95g +  .08t

so

68 = 56 + .95g + .08(55)

68 = 56 + .95g + .08(55)

68 = 56 + .95g + 4.4

68 - 56 - 4.4 = .95g

7.6 = .95 g

7.6/.95 = g

8 = g

definition of a quadratic function

Answers

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

Step-by-step explanation:

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero

Step-by-step explanation:

I don't understand how to do this. If someone can help me understand how to do this I would be very grateful. ​

Answers

Step-by-step explanation: ok do 10 - y2 then it will be 8 so whats left is y divide 8 by 2 and thats the answer for  2y. Reapet this patern for 3z  and all the other questions

hope this helps

Help me please i don’t have my notes and I forget how to do this

Answers

Answer:

AC = AB + BC

18 = (2X - 4) + (3X + 2)

18 = 5X - 2 ( add/subtract like terms)

20 = 5X (-2 take over otherside - 18 + 2)

X = 4

SUB X INTO AB AND BC

AB = 2(4) - 4 = 4

BC = 3(4) + 2 = 14

What is 8y squared+7y+4-3(2y squared-5y-8)?

Answers

Answer:  2 • (y2 + 11y + 14)

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "y2"   was replaced by   "y^2".  1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

 (((8•(y2))+7y)+4)-(3•((2y2-5y)-8))

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  2y2-5y-8  

The first term is,  2y2  its coefficient is  2 .

The middle term is,  -5y  its coefficient is  -5 .

The last term, "the constant", is  -8  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -8 = -16  

Step-2 : Find two factors of  -16  whose sum equals the coefficient of the middle term, which is   -5 .

     -16    +    1    =    -15  

     -8    +    2    =    -6  

     -4    +    4    =    0  

     -2    +    8    =    6  

     -1    +    16    =    15  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step

2

:

 (((8•(y2))+7y)+4)-3•(2y2-5y-8)

STEP  

3

:

Equation at the end of step

3

:

 ((23y2 +  7y) +  4) -  3 • (2y2 - 5y - 8)

STEP

4

:

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  2y2 + 22y + 28  =   2 • (y2 + 11y + 14)  

Trying to factor by splitting the middle term

5.2     Factoring  y2 + 11y + 14  

The first term is,  y2  its coefficient is  1 .

The middle term is,  +11y  its coefficient is  11 .

The last term, "the constant", is  +14  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 14 = 14  

Step-2 : Find two factors of  14  whose sum equals the coefficient of the middle term, which is   11 .

     -14    +    -1    =    -15  

     -7    +    -2    =    -9  

     -2    +    -7    =    -9  

     -1    +    -14    =    -15  

     1    +    14    =    15  

     2    +    7    =    9  

     7    +    2    =    9  

     14    +    1    =    15  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

7. Olivia purchases gifts for her mom and
grandma for Mother's Day. The first is a pair of
sunglasses for $16.35 and the second is a
bracelet. Her total is $39.75. How much did she
spend on the bracelet?
8. Alan
costo
owes
the me
Variable:
Equation:
Solution:
Samuel

Answers

Answer:

7: $26.40

Step-by-step explanation:

I'm only going to give you the direct answer, and number 8 isnt clear.

In which of the following expressions is the coefficient of term "x" 1?

2x^2+x−9

3x^2−x−5

2x^2−3x+1

x^2+2x+7

Answers

Answer:

the answer of the following question is d

3 divided by 45 I need help I stink at division

Answers

Answer:45 divided by 3 is 15

Step-by-step explanation:

Answer:

its 15

I'm bad at explaning

Roko paid $12.50 for 25 game tickets. Louisa paid $17.50 for 35 game tickets. What is the constant of proportionality?

Answers

Answer:

1 ticket = $0.50

Step-by-step explanation:

hope this helps and have a great day

pew pew.

What is the slope of the equation Y= 5/4x - 7/4?
A. -7
B. -7/4
C. 5/4
D. 5​

Answers

Answer:

D. Slope is 5/4

Step-by-step explanation:

By relation with the general equation of a line:

[tex]{ \boxed{y = mx + c}}[/tex]

m » slope

equation given:

[tex]y = \frac{5}{4} x - \frac{7}{4} [/tex]

therefore, slope is 5/4

Answer:

(c) option is correct

Step-by-step explanation:

answer is 5/4

The mass of an object is measured to be 5.55g. The actual weight of the object is 6.00g. What is the percent error?

Answers

Answer:

. The actual mass of the object was 9.98 X 10-3 g.

Step-by-step explanation:

yeah

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