-2|5x-1|-3=11 and -2|5x-1|-3=-11

-2|5x-1|-3=11 And -2|5x-1|-3=-11

Answers

Answer 1

Answer : The values of x are [tex]\frac{-3}{5}[/tex] and 1.

Step-by-step explanation :

The given equation is:

[tex]-2|5x-1|-3=-11[/tex]

The term -3 is moved or added to the right hand side.

[tex]-2|5x-1|=-11+3[/tex]

[tex]-2|5x-1|=-8[/tex]

The term -2 is divided to the right hand side.

[tex]|5x-1|=\frac{-8}{-2}[/tex]

[tex]|5x-1|=4[/tex]

Clear the absolute-value bars by splitting the equation into two cases. One for the positive case and the other for the negative case.

Negative case : [tex]-(5x-1)=4[/tex]

Positive case : [tex](5x-1)=4[/tex]

Now solve both the cases.

Negative case : [tex]-(5x-1)=4[/tex]

[tex]-5x+1=4[/tex]

[tex]-5x=4-1[/tex]

[tex]-5x=3[/tex]

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

and,

Positive case : [tex](5x-1)=4[/tex]

[tex]5x=4+1[/tex]

[tex]5x=5[/tex]

[tex]x=1[/tex]

Therefore, the values of x are [tex]\frac{-3}{5}[/tex] and 1.


Related Questions

9. Ryan is remodeling his kitchen floor, which is 110 square feet. He used
31.5 tiles in his kitchen. If Ryan wants to remodel his bathroom, which is 28
square feet, approximately how many tiles would he need? *

Answers

Answer:

8 tiles

Step-by-step explanation:

For the kitchen floor, each title that ryan used has an area approximately of 110/31.5 ≈ 3.49 square feet

For his bathroom, Ryan would need about: 28/3.49 ≈ 8 titles

The telephone company offers two billing plans for local calls. Plan 1 charges ​$ per month for unlimited calls and Plan 2 charges ​$ per month plus ​$ per call.

Answers

Answer and Step-by-step explanation:

Let us assume the number of calls be x

So

For Plan 1

Total monthly charges is $24 for unlimited calls

For Plan 2

There is a charge of $16 and $0.04 per call

We can write as

= 0.04x + $16

a)  Now the inequality equation is

0.04x + $16 > $24

0.04x > $8

x > 200

b)   Now if there are more than 200 calls than Plan 1 is more economical as compared with plan 2

If RT = 36, find the value of x.
RS: 6x+1. ST:x+7

Answers

Answer:

x = 4

Step-by-step explanation:

RT = RS + ST

RT = 36

RS + ST = 36

6x + 1  + x + 7 = 36

6x + x + 1 + 7 = 36  {Combine like terms}

7x + 8 = 36   {Subtract 8 from both sides}

7x + 8 - 8 = 36 - 8

7x = 28   {Divide both sides by 7}

7x/7 = 28/7

x = 4

pleaaw show graph f(x) = -x+6

Answers

This isn't an answer, rather a suggestion. I would use the website desmos to help me. But for future reference I can help you.

f(x) = - x+6 is similar to y=-x+6.

Simply plug in random numbers into the variable x (preferably ones that could fit on your paper like 0,1,2,3...)

find a if given c and θ

Answers

Answer:

a = c * SinФ

Step-by-step explanation:

SinФ = opp / hyp

c = hyp

a = opp

SinФ = a / c

therefore

a = c * SinФ

there are 4 cups in a quart and 4 quart in a gallon. how many cups are in a 5- gallon jug of water?

Answers

Answer:

16 cups

Step-by-step explanation:

Answer:

16 is the answer

The graph of a linear function is shown.

A coordinate plane with a straight line drawn passing through (negative 5, negative 3) and (5, negative 3).
Which word describes the slope of the line?

positive
negative
zero
undefined





Answers

Answer:

zero

Step-by-step explanation:

the slope of a function m: y2-y1/x2-x1

m=-3-(-3)/5-(-5)

m=0/10=0

The slope of the line drawn passing through (- 5, - 3) and (5, - 3) is zero, so option C is correct.

What is line?

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

straight line drawn passing through (- 5, - 3) and (5, - 3)

Calculate the slope of the line as shown below,

[tex]m = y_2 - y_1 / x_2 - x_1[/tex]

m = slope

m = -3 - (-3) / 5 - (-5)

m = 0 / 10

m = 0

Therefore, the slope of the line drawn passing through (- 5, - 3) and (5, - 3) is zero.

To know more about the line:

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Complete this sentence. If volume remains the same while the mass of a substance ________, the density of the substance will_______________.

Answers

Answer:

Increases, increase

Step-by-step explanation:

Density is M×V, meaning if one goes up and one stays the same, it goes up.

25 POINTS this is an equation -3(2x-1) plz help asap

Answers

Answer:

-6x + 3

Step-by-step explanation:

-3(2x - 1)

We use distributive property

so we mulitply the number that is outside of the paraenthesis (-3), to the numbers on the inside (2x - 1)

-3 × 2x = -6x

-3 × -1 = 3

So we have:

-6x + 3

And we cannot combine them so that is the answer.

Hope that helped!

the answer is -6x+3 !


Find f(-6) for f(x) = x² - 4x + 5. Be sure to show
your work.

Answers

substitute [tex]-6[/tex] in the equation:

[tex]f(x)=x^{2} -4x+5,\\f(-6)=(-6)^{2} -4(-6)+5\\f(-6)=36+24+5\\f(-6)=\boxed{65}[/tex]

ami and ria are playing a game where one of them would pick a card and the other would guess the number' it is a odd number its compositenumber by 3 differnet prime numbers which one of the folowing could be ria's guess ............. A;30 B;75 C;189 D;315

Answers

Answer:

[tex]\huge \boxed{\mathrm{\bold{D.} \ 315}}[/tex]

Step-by-step explanation:

Odd numbers from the list are 75, 189, and 315.

75, 189, and 315, are composite numbers.

Prime factorization of 75 = 3 × 5 × 5

Prime factorization of 189 = 3 × 3 × 3 × 7

Prime factorization of 315 = 3 × 3 × 5 × 7

315 is an odd number, and a composite number that is divisible by 3 different prime numbers.

Step-by-step explanation:

Odd numbers from the list are 75, 189, and 315.

75, 189, and 315, are composite numbers.

Prime factorization of 75 = 3 × 5 × 5

Prime factorization of 189 = 3 × 3 × 3 × 7

Prime factorization of 315 = 3 × 3 × 5 × 7

315 is an odd number, and a composite number that is divisible by 3 different prime numbers.

Whats the answer for 2x-3=-x+3? I also need to see the steps because Im lost and I dont understand how to get the answer.

Answers

Answer:

Solving for 2x - 3 = -x + 3

Standard form:

3x − 6 = 0

Factorization:

3(x − 2) = 0

Solutions:

x = 6      

3

= 2

Step-by-step explanation: Think my Answer is Wrong or Right? Let me know!

Answer:

x = 6

Step-by-step explanation:

We know:

2x - 3 = x +3

Rearrange the equation:

2x - x = 3 + 3

Combine like terms:

1x = 6

Divide:

x = 6

Which One Doesn't Belong?
1 ticket for $1.80
$9 buys 5 tickets
9 tickets for $15
10 prizes for $18

Answers

Answer:

9 tickets for $15

Step-by-step explanation:

9×1.80=16.20

10 prizes for $18. The rest tells about ticket prices

Multiplication is doing what to the same number continuously?

Answers

Answer:

mutiplying it

Step-by-step explanation:

it is multiplying it because 2×2=4

Answer:

multiplying the answer

Please help. I will mark brainliest.

Answers

Answer:

hope this helps

Step-by-step explanation:

The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered 404040 questions and obtained a score of 505050, how many questions did the player answer correctly

Answers

Answer:

30

Step-by-step explanation:

A player answers x correct questions and y incorrect questions for a total of 40 questions.

x + y = 40

The score is obtained by subtracting y incorrect answers from two times the x of correct answers.  The player's score is 50.

2x - y = 50

Use substitution to solve.  Rearrange the first equation so that it is equal to y.  Then, substitute the y-value into the second equation.

x + y = 40

y = 40 - x

2x - y = 50

2x - (40 - x) = 50

2x - 40 + x = 50

3x - 40 = 50

3x = 90

x = 30

Since x was made to represent correct answers, the player had 30 correct answers.

Where can you put parentheses so that the answer is correct? 5 • 4 - 1+6=13

Answers

Answer:

You can put 1 + 6 into parentheses to make the answer correct.

Step-by-step explanation:

5 × 4 - (1 + 6) = 13

5 × 4 - (7) = 13

20 - (7) = 13

13 = 13

Answer:

5 • 4 - (1+6)=13

Step-by-step explanation:

5 • 4 - 1+6=13

Add parentheses to make this true

5 • 4 - (1+6)=13

Using PEMDAS

Parentheses first

5 • 4 - 7=13

Then multiply

20-7 =13

Then subtract

13=13

There are 30 calories in cup of red seedless grapes. How many calories are consumed if a person eats between and 1 cups of grapes?

Answers

Answer:

the first one is 90, the second is 150, the third is option dStep-by-step explanation:

Answer:

Edge 2020

Step-by-step explanation:

(10,000 . x⁻⁴ . y³)³/⁴
Plz answer now
I will mark brainliest

Answers

..................................

The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of
the painting?
A. 9 inches
B. 12 inches
C. 13 inches
D. 18 inches
Please select the best answer from the choices provided
Ο Α
ОВ
ОС
OD

Answers

Answer: D, 18 inches

This is a very simple question, what they are requiring of you is to just find the length if it is longer than the width by 3 inches. In the question it mentions that the width is 15 inches long ,so, all you have to do is add 3 to 15 and you get 18 inches.

Answer:

12

Step-by-step explanation:

Don't listen to this fool

Determine whether each ordered pair is a solution of y = 3x-5. (2,2) (4,7) (6,13) (5,10)

Answers

Answer:

(4,7), (6,13), and (5,10)

Step-by-step explanation:

To determine if an ordered pair is a solution, substitute the coordinates in and check to see if they are true:

(2,2)

[tex]y=3x-5\\(2)\stackrel{?}{=}3(2)-5\\2\stackrel{?}{=}6-5\\2\neq1[/tex]

Thus, (2,2) is not a solution.

(4,7)

[tex]y=3x-5\\(7)\stackrel{?}{=}3(4)-5\\7\stackrel{?}{=}12-5\\7\stackrel{\checkmark}{=}7[/tex]

Thus, (4,7) is a solution.

(6,13)

[tex]y=3x-5\\(13)\stackrel{?}{=}3(6)-5\\13\stackrel{?}{=}18-5\\13\stackrel{\checkmark}{=}13[/tex]

Thus, (6,13) is also a solution.

Lastly, (5,10)

[tex]y=3x-5\\10\stackrel{?}{=}3(5)-5\\10\stackrel{?}{=}15-5\\10\stackrel{\checkmark}{=}10[/tex]

Thus, (5,10) is also a solution.

A university's freshman class has 5000 students. 80% of those students are majoring
in Computer Science. How many students in the freshman class are Computer
Science majors?

Answers

Answer:

4000

Step-by-step explanation:

5000 * .8 is 4000

Answer:

4000 students

Step-by-step explanation:

Number of computer science majors = 80% of 5000

                                                              = 0.8 * 5000

                                                              = 4000

simplify the expression 4(2x-1)-3(x+5)

Answers

Answer:

The answer is

5x - 19

Step-by-step explanation:

4(2x-1) - 3(x+5)

Expand the terms in the bracket

That's

8x - 4 - 3x - 15

Group like terms

We have

8x - 3x - 4 - 15

We have the final answer as

5x - 19

Hope this helps you

(M^3/ k^4) ^ -5

Plzzz answer this question it’s urgent

Answers

Answer:

k^20/m^15

reason is because you're multiplying ^3 , ^4 with ^-5, the -5 turn positive since you flip the fraction/division

please hwelp please​

Answers

Answer:

2⁸ > 2.38 × 10² > 6³ > 2.16 × 10¹ > [tex]\sqrt{300}[/tex], 300%

Step-by-step explanation:

Given numbers are,

2.38 × 10², √300, 2⁸, 300%, 6³, 2.16 × 10¹

We have to arrange these numbers in the decreasing order(from greatest to least)

2.38 × 10² = 2.38 × 100 = 238

√300 = 10√3 ≈ 17.32

2⁸ = 256

300% = [tex]\frac{300}{100}[/tex] = 3

6³ = 216

2.16 × 10¹ = 21.6

Therefore, decreasing order (from the greatest to least) will be,

256 > 238 > 216 > 21.6 > 17.32 > 3

2⁸ > 2.38 × 10² > 6³ > 2.16 × 10¹ > [tex]\sqrt{300}[/tex], 300%

i need some help( the workers can unload 28 trucks in 7 hours what is the unit rate for this situation) im confused!

Answers

Answer:

4 trucks per hour

Step-by-step explanation:

28/7 = 4

Answer:

Not completely sure but I think it is 4 trucks per hour

Step-by-step explanation:

If they can do 28 in 7 hrs u divide both by 7 to get 4 trucks per hour?

Ethan plotted points E, F, G, H, and I on a number line, as shown below. Which two points that Ethan plotted represent numbers that have a sum of 0? Explain how you got your answer

Answers

Answer:

F and H

Step-by-step explanation:

From the image attached, the location of the points are E = -9, F = -6, G = -2, H = 6, I = 8. The law of additive inverse states that for a number a, its additive inverse is a number that when added to a equals to zero. This number is usually opposite in sign to a and of the same magnitude i.e -a. The law is given as:

a + (-a) = 0

From the points, F is the additive inverse of H, hence:

F + H = 0

6 + (-6) = 6 - 6 = 0

Hence the two points are F ad H

If UV = 4x, VW = 3x, and UW = 7, what is UV?

Answers

Answer:

4x+3x= 7

7x= 7

x = 1

UV=4 is the solution

The value of UV = 4.

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S.

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables.

Given:

UV = 4x, VW = 3x, and UW = 7

UW= UV + VW

7 = 4x + 3x

7 = 7x

x= 7/7

x=1

Hence, UV = 4

Learn more about equation here:

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Which algebraic represents this word description The product of two and the difference between a number and eleven.

Answers

Answer: 2(x-11)

Step-by-step explanation:

Disclaimer: The options are missing. They are as follows:

a. 2(11-x)

b. 11-2x

c. 2x-11

d. 2(x-11)

The algebraic expression that represents the word description: The product of two and the difference between a number and eleven is 2(x - 11). Hence, option d is the right choice.

What is an algebraic expression?

An algebraic expression is a combination of variables and constants, as well as algebraic operations (addition, subtraction, etc.). Terms are the building blocks of expressions.

How do we solve the given question?

We are asked to find the algebraic expression that represents this word description The product of two and the difference between a number and eleven.

We let the unknown number be x.

We are said that the expression is the product of two and the difference between a number and eleven.

The difference between a number and eleven can be written as x - 11.

Now we need the product of this and two, that can be written as:

2(x - 11).

∴ The algebraic expression that represents the word description: The product of two and the difference between a number and eleven is 2(x - 11). Hence, option d is the right choice.

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square root of 12544 in division method

Answers

Answer: the answer is 11 to the second power . (omg nvm, no it isn't ... i honestly dont know)

Step-by-step explanation:

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