Solve the absolute value equation, if possible. If there is no solution, explain why.
| 5x + 10| = -7

Thank you!

Answers

Answer 1

Answer:

the equation | 5x + 10| = -7 has no solution for x ∈ R.

Step-by-step explanation:

Given the absolute value equation

| 5x + 10| = -7

We know that absolute value is always positive.

Reason:

The reason is that the absolute value is the distance from the number 0. Hence, it can not be less than or equal to a negative number.

Conclusion:

Therefore, we conclude that the absolute value of any number would be either 0 or positive as it can not less than or equal to a negative number.

Therefore, the equation | 5x + 10| = -7 has NO SOLUTION for x ∈ R.


Related Questions

Over the next 17 months you have to read at least 68 books. You have to read x books per month.
The inequality 17x2 68 represents this situation. Solve the inequality to find the number of books
you have to read per month.

Answers

Answer:

You have to read 4 or more books per month.

Step-by-step explanation:

Given that:

Number of months to read the books = 17 months

Number of books to read = 68 at least

Number of books per month = x

The inequality for the situation is;

[tex]17x\geq 68[/tex]

Dividing both sides by 17

[tex]\frac{17x}{17}\geq \frac{68}{17}[/tex]

x ≥ 4

Hence,

You have to read 4 or more books per month.

In the following scenario, which is the most important criteria in evaluating the technological device?
A parent needs a computer that can hold family photos.

Connectivity

Size

Speed

Storage

Answers

Answer:

storage

Step-by-step explanation:

Answer:

Storage

Step-by-step explanation:

how many times does 1/7 go into 3

Answers

Answer:

21

Step-by-step explanation:

1/7 x 7 = 1

x3 = 3

so 7x3 =21

What is 2 times as much as 3?

Answers

Answer:

6

Step-by-step explanation:

its basically 2 x 3 which = 6

hope this helped :D

Krutika was thinking of a number. Krutika doubles it, then adds 19 to get an answer of 65. What was the original number?

Answers

Step-by-step explanation:

2x+19=65

2x+19-65

2x-46

2x=46

x=46/2

x=23

so the number is 23

please help! stuck on this question

Answers

Answer:

Center  (h,k) = (4,7) and radius r = 7

Step-by-step explanation:

Explanation

Given that the equation of the circle

        ( x-4)² + (y-7)² = 49

         ( x-4)² + (y-7)² = 7²

Comparing the standard circle equation

          (x-h)²+(y-k)² = r²  

Center  (h,k) = (4,7) and radius r = 7

5/6 = 10/ W+3 solve for W

Answers

Answer:

[tex]\huge\boxed{w=9}[/tex]

Step-by-step explanation:

In order to solve for w here, let's write the proportion.

[tex]\frac{5}{6} = \frac{10}{w+3}[/tex]

To solve for w, we need to get it isolated on one side of the equation. To do this, we can first multiply both sides by 6 and w+3 in order to get rid of the denominators.

[tex]\frac{5}{6} \cdot 6 \cdot w+3 = \frac{10}{w+3} \cdot (w+3) \cdot6[/tex] [tex]5(w+3) = 60[/tex] [tex]5w+15 = 60[/tex] [tex]5w = 45[/tex] [tex]w = 9[/tex]

Therefore, w=9.

Hope this helped!

jeff Ran 2 miles in 16 minutes. juchan ran ​

Answers

they ran the same because 24 divided by 3 is 8 16 divided by 2 is 8

solve the equation -4.2 + - (0.6) divided by 6​

Answers

Answer:

-0.8

Step-by-step explanation:

-4.2 + - (0.6) /6

-4.2 - 0.6 / 6

-4.8/6

-0.8

what part of the expression is a term a.5 b.+ c.6x+ 5 d. x

Answers

PLEASE MARK BRAINLIEST!

Answer:

If I am not mistaken, the equation is:

6x + 5

So the terms are:

6x 5

The coefficient is:

6

The variable is:

x

The constant is:

5

I hope this helps! Your question was a bit unclear...

- sincerelynini

A state official wants to know which party the voters in his state feel is best qualified to lead the country over the next 10 years. He mails a questionnaire on this subject to a SRS of 1600 voters in his state. His staff reports that 325 questionnaires have been returned, of these 241 respondents feel the Democratic Party is best qualified to lead the country over the next 10 years.
1. The sample is:__________
A. the voters in his state
B. the 325 questionnaires returned
C. the 241 voters who feel the Democratic Party is best qulified
D. the 1600 voters receiving the questionnaire
2. This is an example of:___________
A. a survey containing nonresponse
B. a survey with little bias because a large SRS was used
C. a survey with little bias since the voters know what they want.
D. All of the above

Answers

Answer:

1. B

2. C

Step-by-step explanation:

1. B

The sample of any set would be smaller version of a larger group. It is often a subset that contains some or all the characteristics of the main set, or the larger general population. The usage of samples comes into play in statistics when the population sizes of interest are too large for the test to contain all the needed members for it to take place. So, from this question, the sample size is the 325 questionnaires that were returned in the first place.

2. C

I thin the answer is survey with little bias since the voters know what they want. This is because while answering the survey, the voters know who they want to vote for upfront, and didn't need to gave their mind change by anyone on the survey.

Find the slope of the line that passes through (10,3) and (3,12).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
7
0
07

help!!!!!!

Answers

Answer:

-9/7

Step-by-step explanation:

[tex]slope \: of \: line \\ \\ = \frac{12 - 3}{3 - 10} \\ \\ = \frac{9}{ - 7} \\ \\ = - \frac{9}{7} [/tex]

Find the value of x 6 5

Answers

Answer:

√66

Step-by-step explanation:

From the Euclidean theorem x^2 = 6 × 11

x^2 = 66

x = √66

The number of bacteria on a piece of toast triples every hour. If there is only one bacteria cell now, how many will there be in 24 hours?

Answers

Answer:

72

Step-by-step explanation:

3x24=72

What is the whole number of .24

Answers

The whole number of .24 is 24

.24 is a decimal but a whole number would be the only number which is 24. So the whole number of .24 is 24.

this is really difficult ​

Answers

Answer:

x=32

Step-by-step explanation:

Since all angles in a triangle add up to 180, set 2x+x+2x+20=180. Then solve for x, and you'll get 32. Hope this helped!

Read and solve.
1. Mark's car consumes 11,220 liters of gasoline in a week. How
many liters of gasoline can the car consume in 10 weeks?
Number sentence:
Answer:

Answers

You would have to use multiplication to do this problem.

The number setence would be : 11,220 x 10

The answer would be: 112,200

Write the income equation for a small business that begins with $150 and grows by 20% each year. When wil the company's income income be $300?​

Answers

Answer:

f(x)=150+30x

150+30x=300

30x=150

x=5

after 5 years

\begin{aligned} &y=-8x -3 \\\\ &x+y=7 \end{aligned}


y=−8x−3
x+y=7

Answers

Answer:

just download conects

Step-by-step explanation:

combine like terms 5x - 7y + 2x + 10y + 4

Answers

Answer:

7x+3y+4

Step-by-step explanation:

A ball is thrown with an initial speed of 17 mph in a direction that makes an angle of 22 degrees with the positive x-axis. Express the velocity vector v in terms of i and j.

Answers

Answer:

The speed of the ball in terms of i and j is (15.76 i, 6.37 j)

Step-by-step explanation:

Given;

velocity of the ball, v = 17 mph

angle of inclination, θ = 22⁰

The horizontal component of the velocity is calculated as;

[tex]V_x = Vcos\theta\\\\V_x = 17cos(22)\\\\V_x = 15.76 \ i[/tex]

The vertical component of the velocity is calculated as;

[tex]V_y = Vsin\theta\\\\V_y = 17sin(22)\\\\V_y = 6.37 \ j[/tex]

Therefore, the speed of the ball in terms of i and j is (15.76 i, 6.37 j)

The area of a rectangle is 84cm² and its breadth is 12 cm. Find its length and perimeter.​

Answers

Step-by-step explanation:

A=84

b=12

l=?(l)

A=l×b

84=l×12

84/12=l

7=l

perimeter=2(l×b)

=2(7×12)

=168

-3(x + 4y) + 2(x – 2y) + (3x -5y)​

Answers

From what I remember it is -x-31y

If a circle has a diameter of 24 inches, which expression gives its area in
square inches?
O A. 12.
O B. 242.17
O C. 24. 1
O D. 122.77

Answers

Answer:

D. 12²•π

Step-by-step explanation:

Area of a circle = πr²

Radius (r) = ½ of diameter = ½*24 = 12 inches

Plug in the value into the area

Area = π * (12)²

Area = π * 12²

Area = 12²•π

Phillip wanted to leave a 15% tip. He thought to himself that 15% = 10% plus half of 10%. Which of the following equations will help phillip estamate the tip on a $36.00 bill correctly?
A. $3.60 + $3.60 = $7.20
B. $3.60 + $1.80 = $5.40
C. $3.60 + $0.36 = $3.96
D. $1.80 + $1.80 = $3.60​

Answers

Answer:

u see I did this add all the answer together to get the answer

Answer:

A

Step-by-step explanation:

How many solutions does 5x - 1 = 10x - 4 - 5x + 3 have?
A. Two solutions
B. One solution
C. Infinitely many solutions
D. No solutions

Answers

Answer:

c

Step-by-step explanation:

its c

what fractions are greater than 11/20

a- 3/4
b - 3/10
c - 4/5
d - 1/2

Answers

Answer:

3/4  and  4/5

I hope this helps :)

the answer should be a 3/4

110 mi/h is equal to mi/day

Answers

Answer:

2640 miles/day

Step-by-step explanation:

There are 24 hours in a day, so 110*24 = 2640.

simplify 5(6k+3+7k+3y)

Answers

Answer:

65k+15+15y

Step-by-step explanation:

distribute the 5

30k+15+35k+15y

add all like terms

65k+15+15y

Answer:

65k+15y+15

Step-by-step explanation:

Add 6k and 7k.5(13k+3+3y)

Apply the distributive property.

5(13k)+5⋅3+5(3y)

Simplify.

65k+15+15y

Move 15.

65k+15y+15

Find the gradient of the line segment between the points (-6,2) and (4,10).
Give your answer in its simplest form.​

Answers

Answer:

0.8

Step-by-step explanation:

gradient = y difference/ x difference

m = (10-4)/(4--6)

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