please help! ill give brainlyest! solve the absolute value equation

Please Help! Ill Give Brainlyest! Solve The Absolute Value Equation

Answers

Answer 1

Answer:

x = [tex]\frac{40}{9}[/tex] , x = - [tex]\frac{56}{9}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] | [tex]\frac{3}{4}[/tex] x + [tex]\frac{2}{3}[/tex] | - 1 = 1 ( add 1 to both sides )

[tex]\frac{1}{2}[/tex] | [tex]\frac{3}{4}[/tex] x + [tex]\frac{2}{3}[/tex] | = 2 ( divide both sides by [tex]\frac{1}{2}[/tex] )

| [tex]\frac{3}{4}[/tex] x + [tex]\frac{2}{3}[/tex] | = 4

The absolute value always gives a positive result, however, the expression inside can be positive or negative, then

[tex]\frac{3}{4}[/tex] x + [tex]\frac{2}{3}[/tex] = 4 ( multiply through by 12 to clear the fractions )

9x + 8 = 48 ( subtract 8 from both sides )

9x = 40 ( divide both sides by 9 )

x = [tex]\frac{40}{9}[/tex]

-------------------------------------------------------

OR

- ([tex]\frac{3}{4}[/tex] x + [tex]\frac{2}{3}[/tex] ) = 4 , distribute left side

- [tex]\frac{3}{4}[/tex] x - [tex]\frac{2}{3}[/tex] = 4 ( multiply through by 12 to clear the fractions )

- 9x - 8 = 48 ( add 8 to both sides )

- 9x = 56 ( divide both sides by - 9 )

x = [tex]\frac{56}{-9}[/tex] = - [tex]\frac{56}{9}[/tex]

Answer 2
1/2丨3/4x+2/3丨-1=1

丨3/4x+2/3丨-2=2

丨3/4x+2/3丨=2+2

丨3/4x+2/3丨=4

3/4x+2/3=4
3/4x+2/3=-4

x=40/9
x=-56/9

Hope my answer helped u :)

Related Questions

Multiply 4√2 x 6 √18

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Answer:144

Step-by-step explanation:

Which Property is used below? 7 + (a + b) = (7 + a) + b ?​

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Answer:

Associative property- the way in which factors are grouped in a multiplication problem does not change the product.

hope it will help

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Answer:

÷ then +

Step-by-step explanation:

as (18÷3)+24=30 is correct same as (6÷3)+1=3

Can someone help me please?

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Answer:

Associative property.

Step-by-step explanation:

[tex]assosiative \: property \\ for \: any \: nubers \: likeur \: question \: \\ didnt \: affect \: theanswer \\ thank \: you[/tex]

(4x+5)(4x−5)
I'm stuck can someone please help me ​

Answers

Answer:6small2−25

Step-by-step explanation:

Answer:

16x² - 25

Step-by-step explanation:

(4x+5)(4x−5)

16x² - 20x + 20x - 25

16x² - 25

The piecewise defined function f(x) is graphed below. What is the value of f(2)?


f(2) = –2
f(2) = –1
f(2) = 4
f(2) is undefined

Answers

Answer:

f(2) = -1

Step-by-step explanation:

Looking at the graph, there appears to be two points at x = 2.  However, looking more closely, we see that the point (2, 4) is empty; this means the graph goes up to this point but does not hit this point.

The point (2, -1) is filled in; this means the graph hits this point.

Step-by-step explanation:

The value of f(2) on the graph of the piecewise function is -1

How to determine the value of f(2)?

From the graph of the piecewise function, we have the following highlights

When x = 2, the function has corresponding values at y = 4 and y = -1

However, the graph has an open circle at y = 4 and a closed circle at y = -1

Closed circles show inclusiveness

This means that the actual value of f(2) on the graph is -1

Hence, the value of f(2) on the graph of the piecewise function is -1

Read more about piecewise functions at:

https://brainly.com/question/24389153

Drag the black dots to move the
like terms next to each other.
Then simplify the expression.
4x-2y + 7-y +5-3x

Answers

Answer:

4x - 3x - 2y -y +7 + 5

Step-by-step explanation:

4x-3x =x

-2y-y = (-3y)

7+5 = 12

x-3y+12

Talehia is working on the monthly budget her monthly income is 500 she has allocated 200 for savings 100 for vehicle expenses and 75 for closing how much is available to spend on entertainment

Answers

Answer:

125

Step-by-step explanation:

total earning = 500

saving = 200

reaminings = 500-200

temainings= 300

vehical expenses=100

now remainings= 300-100

remaining=200

closing= 75

remaings=200-75

remainings for entertainment= 125

Divide 6x²y-12x⁴y+ 15x³y²-3x²y² by 3x²y​

Answers

Answer:

[tex] \frac{6 {x}^{2}y - 12 {x}^{4} y + 15 {x}^{3} {y}^{2} - 3 {x}^{2} {y}^{2} }{3 {x}^{2}y } \\ \frac{2 \times 3 {x}^{2}y - 6 {x}^{2} 3 {x}^{2} y + 5xy3 {x}^{2} y - y3 {x}^{2} y}{3 {x}^{2}y } \\ cancel3 {x}^{2} y \: from \: all \: term \\ = \frac{2 - 6 {x}^{2} + 5x y - y }{1} \\ = 2 - 6 {x}^{2} + 5xy - y \\ thank \: you[/tex]

describe the defferences between hexagonal prism and an octagonal prism​

Answers

20+23-56/90+789/90(333)09/77

Solve for y.

–5(y − 3) − 10 = –6y

y =

Answers

Answer:

y = - 5

Step-by-step explanation:

–5(y − 3) − 10 = -6y

-5y + 15 - 10 = -6y

-5y + 5 = -6y

5 = - 6y + 5y

5 = -y

-5 = y

Answer:

y = -5

Step-by-step explanation:

–5(y − 3) − 10 = –6y

First, open up the brackets.

-5y + 15 - 10 = -6y

-5y + 5 = -6y

Move y to the same side. ( when you move the numbers to the opposite side , be aware of changing the negatives and positives )

-5y + 6y = -5

y = -5

Evaluate the expression. 0.3 = -5 - (-0.4 - -0.6) Write your answer as an integer or a decimal. Do not round.​

Answers

Answer:

-20

Step-by-step explanation:

Hi

The value of the expression is a decimal -17.33.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

0.3x = -5 - (-0.4 - (-0.6))

0.3x = -5 - (-0.4 + 0.6)

0.3x = -5 - 0.2

0.3x = -5.2

x = -5.2/0.3

x = -17.33

Thus,

The value of x is -17.33.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

The component form of the vector shown here is
A) (1, 1).
B) (2,4).
C) (1,3).
D) (3,5).​

Answers

Answer:

C) <1, 3>

Step-by-step explanation:

A vector quantity has both magnitude and direction, to find the component form, you must subtract the terminal point which is indicated by the arrow from the initial point shown by the circle of which it begins.

The product of 4 and a number x

Answers

Answer:

you can`t multiply an integer with a variable unless the variable represents something

ex: if x = 10 then the product of 4 and x is 40

Answer:

4x

Step-by-step explanation:

'Product' refers to multiplication.

Find the length of the line segment in decimal form.

Answers

Answer:

Step-by-step explanation:

(2 , 4)  ;      ( -1 , -1)    

[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

               

Which of the following points lies on the line defined by y = -3x – 7?
A. (2, -1)
B.(-2, 1)
C. (-2,-1)
D. (1,8)
E. (2, 1)

Answers

Answer: C.  (-2, -1)

=========================================================

Explanation:

If we tried the x coordinate of choice A, then,

y = -3x-7

y = -3*2-7

y = -6-7

y = -13

This shows that the point (2,-13) is on the line and not (2,-1). This rules out choice A, and also choice E.

Let's try x = -2

y = -3x-7

y = -3*(-2)-7

y = 6-7

y = -1

This shows that (-2,-1) is a point on the line, and it points us to choice C being the final answer. This rules out choice B.

If we tried x = 1, then,

y = -3x-7

y = -3*1-7

y = -3-7

y = -10

Which shows that (1,-10) is a point on this line, which rules out choice D.

The visual summary is shown below as a graph. Only point C is on the red line.

How can a frequency table or histogram help you organize and analyze data?

Answers

Answer:

[tex]\red{{\sf{NONSENSE=}}}[/tex]

[tex]\blue{{\sf{REPORT}}}[/tex]

[tex]\color {red}{•}\color {orange}{•}\color {yellow}{•}\color {lime}{•}\color {green}{•}\color {cyan}{•}\color {aquamarine}{•}\color {indigo}{•}\color {blue}{•}\color {violet}{•}\color {blueviolet}{•}\color {pink}{•}\color {magenta}{•} \color {brown}{•}\color {gray}{•}\color {black}{•}[/tex]

K is between J and M. L is between K and M. M is between K and N. If JN = 30, KM = 8, and JK = KL = LM, what is MJ?

Answers

Answer:

18

Step-by-step explanation:

MJ IS 18 RHIS IS YOUR CORRECT ANSWER

I NEED HELP RN PLEASEE need part 1 and 2 plz asap

Answers

Answer:

A. 2+6+10+14+18+22+26+30+34+38

B. 6+18+54+162+486+1458+4374+13122+39366+118098

Step-by-step explanation:

I. In A. you can see 2 is plus by 4 = 6

                                6 is plus by 4 = 10

                                ... is plus by 4 ...

So the term was plus by 4

II. In B. you can see 6 is multiply by 3 = 18

                                18 is multiply by 3 = 54

                                 ... is multiply by 3 ...

So the term was multiply by 3

Leave comment if you're curious.

Factor 3x^2-15x+18 completely. Show all work please

Answers

Answer:(x -3) (x -2)

Step-by-step explanation:

I need the volume of part f in this question and please show the working if you do solve it !!

Answers

Answer:

10 x 4 x 3=120

4 x 3 x 3=36

4 x 3 x 3=36

120+48+48=192

im sorry....i don't know the proper working>_<

help please. thank you!

Answers

Answer:

d!!!!

Step-by-step explanation:

what would -[16] absolute value be? (P.S. is not [] i just cant do the straight line on computer) sorry

Answers

i’m pretty sure the absolute value of any number is just the actual number itself in positive form. so it would be 16.

I NEED SLEEEPPPP!! help me out please ;U;
solve for x ( please so work so I can figure out how to solve)

Answers

Answer:

Step-by-step explanation:

Set up equation

[tex]\frac{5x}{3} +\frac{3x-2}{6} =2-3x[/tex]

Make 5x/3 and 2-3x have a denominator of 6. To do this, we multiply everything in 5x/3 by 2 and multiply everything in 2-3x by 6.

[tex]\frac{10x}{6} +\frac{3x-2}{6} =\frac{12-18x}{6}[/tex]

Add the Left fractions numerators and set them equal to the Left side.

13x-2=12-18x

13x=14-18x

31x=14

x=14/31

This would be the answer to your question. X= 14/31

please help I’m pretty sure the answers are right I just need a reasoning for my answer like a paragraph of my explanation.

Answers

D is not possible because the angles add up to more than 180, so switch that.

The explanation for c: This triangle is possible since the sum of its three angles is 180 degrees.

Step-by-step explanation:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side;

                       a+b > c

                       a+c > b

                        b+c > a

If this is true for all three combinations of added side lengths, then you will have a triangle.

A)triangle is possible with these measurements

            2+3 >4

             2+4> 3

             3+4>2

B)triangle is not possible with these measurements

            2+3 >6

             2+6> 3

             3+6>2

C)triangle is possible with these measurements

    90+45+45=180 degrees(sum of interior angles of a triangle is 180 degrees)

               180=180

D)triangle is not possible with these measurements

    90+60+60=180(sum of interior angles of a triangle is 180 degrees)

      90+120   =210 degrees

  sum of interior angles of the triangle is more than 180 degrees

Therefore it is not a triangle

Write 8-to 10 sentences about how math can make you a good leader/worker?



^^i didn't really understand that one and yes ill give brainliest and yes I will report your answer if you put absurd stuff

Answers

Step-by-step explanation:

Mathematics is a methodical application of matter. ... Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills.

pls make me the brainliest

Answer:

  Math can make you a good leader and worker in many ways. Math is a subject that usually includes lots of problem-solving and critical thinking skills. When taking a math class you acquire lots of experience with those. Some areas of math such as Calculus, can be very difficult and take lots of determination to learn. People that are able to effectively solve problems are very valuable to businesses as workers and will often be hired and promoted before others who don't posses the same problem-solving skills. Knowing how to make basic calculations without a calculator can also be very useful in any field of work.

What are the coordinates of the point 3/4 of the way from A to B?

Answers

Answer:

(-3.5,1)

Step-by-step explanation:

There are 7 boxes between A and B. So I figure if you take 3/4 of 7 is about 5.

Answer:

(-3.5,1.25)

Step-by-step explanation:

Which figure shows an example of symmetry?
A.
B.
C.
D.

Answers

A.

Both halves created by the line of symmetry are equal in diagram A.

Factor ab + bc + b2 + ac.

(a + b)(b + c)
(a + c)(b + c)
b(a + b)(b + c)

Answers

Answer:

It is (a + b)(b + c)

Step-by-step explanation:

[tex]ab + bc + {b}^{2} + ac[/tex]

arrange the function:

[tex] = (ab + ac) + ( {b}^{2} + bc)[/tex]

factorise out common terms [ a and b ]:

[tex] = a(b + c) + b(b + c)[/tex]

form a bracket of factors:

[tex] = (a + b)(b + c)[/tex]

7. Choose the correct answer. If there is direct variation and y= 27 when t= 4, find y when = 12.

a. 9

b. 0.56

c. 81

d. 1.78​

Answers

Answer:

c

Step-by-step explanation:

Given direct variation between y and t , then the equation relating them is

y = kt ← k is the constant of variation

To find k use the condition y = 27 when t = 4 , then

27 = 4k ( divide both sides by 4 )

6.75 = k

y = 6.75t ← equation of variation

When t = 12 , then

y = 6.75 × 12 = 81

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