The sum of a number and it's absolute value is negative.

Answers

Answer 1

Answer:

False; the scenario is not possible.

Step-by-step explanation:

This scenario is not possible. I will demonstrate it by representing a number by [tex]x[/tex]. There are two possibilities: [tex]x[/tex] and [tex]-x[/tex]. Let's try both:

[tex]x + |x|[/tex]

[tex]x + x[/tex]

[tex]2x[/tex]

The sum for positive [tex]x[/tex] and its absolute value is not negative. Let's try with the negative value of [tex]x[/tex] now:

[tex]-x +|-x|[/tex]

[tex]-x + x[/tex]

[tex]0[/tex]

The sum for negative [tex]x[/tex] and its absolute value is not negative either, it is zero which is neither negative or positive. Therefor, we can safely say that the scenario described is not possible.


Related Questions

Aimee deposited $250 into a savings account with the simple interest of 6% per year.

After 4 years, how much money, in total, will she have in her account?

Answers

Answer:

Step-by-step explanation:

Interest=principal*rate*time/100

Interest=240$

Amount= principal + interest

Amount=$490

f(x)=-x^2-10x

Find f(-5)

Answers

Answer:

25

Step-by-step explanation:

f(x)=-x^2-10x

Let x = -5

f(-5)=-(-5)^2-10(-5)

     = -25+50

      =25

1. Identify the terms in the expression
1.3x - 2.7x2
-
5.4x + 3


50 points whoever aswners it

Answers

Answer:

- and+

Step-by-step explanation:

Answer:

1.3x, -2.7, x^2 (x squared), -5.4x, +3 are the terms. hope this helps

Step-by-step explanation:

- Zombie

Please help me I’m struggling! I’ll give a brainliest!!
Collinear points lie on the same line. Find the value of k for which the following points are collinear: (k,3), (-3,2), (-1,1)

Answers

Answer:

k=-5

Step-by-step explanation:

For the points to be collinear any two pair must have the same slope

We find the slope of the 2nd and 3rd points

=1-2/-1--3

=-1/2

Now finding the slope of the 1st and any other point say point 3

1-3/-1-k=-½

-2/-1-k=-½

-4=-1(-1-k)

-4=1+k

k=-4-1

k=-5

PROOF

if the first point is (-5,3)

slope of point 1 and 2

=2-3/-3--5

=-1/2

4. Determine both the HCF and LCM of 25 and 200​

Answers

Answer:

The LCM of 25 and 200 is 200.

Explanation:

Find the prime factorisation of 25

25 = 5 × 5

Find the prime factorisation of 200

200 = 2 × 2 × 2 × 5 × 5

Multiply each factor the greater number of times it occurs in steps 1 or 2 above to find the LCM:

LCM = 2 × 2 × 2 × 5 × 5

LCM = 200

Answer:

the HCF of 25 and 200 is 25 because it divides both of them and is maximum factor of them.

LCM of 25 and 200 is 200 because it can be divided by both 200 and 25

How many solutions are there to the equation below?
145 = 10x - 8x
O A. infinitely many
O B. 2
O c. 1

Answers

Answer:

c. one solution

Step-by-step explanation:

[tex]145 = 10x - 8x \\ 2x = 145 \\ x = 72.5[/tex]

Answer:

C

Step-by-step explanation:

yes

this is the answer for sure

A car accelerates from stationary state to X kmj-1 in 10 minutes. If the acceleration of the car is 300 km h-2, find the value of X.​

Answers

Step-by-step explanation:

X = Acceleration × time

=300× (10/60)

=50km/h

a rectangular field has a length of 485 meters and a width of 155 meters how much would it cost to fence the field at £14 a meter

Answers

Answer:

£17920

Step-by-step explanation:

total length of the field = 2(155+485) = 1280m

cost = 1280 * 14 = 17920

SOMEONE HELP ME PLEASE

Answers

Answer:

25.7

Step-by-step explanation:

PQ=PR-QR

PQ=38.3-12.6

PQ=25.7 cm

Answer: PQ = 25.7 cm

Concept:

Here, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

PR = 38.3 cm

QR = 12.6 cm

Given expression deducted from the segment addition postulate

PQ = PR - QR

Substitute values into the expression

PQ = (38.3) - (12.6)

Simplify by subtraction

PQ = [tex]\boxed{25.7cm}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

evaluate the expression (-2) - ( -5)

Answers

Answer:

The answer is 3

Step-by-step explanation:

(-2)+5=3

The length of a rectangle is twice the width. The perimeter is 30 cm. What is the width of the rectangle?
O A. 3.75 cm
B. 5 cm
C. 7.5 cm
OD. 10 cm
E. 15 cm

Answers

Answer:

B. 5 cm

Step-by-step explanation:

If the width was 5 cm, the length would be 10 cm.  (5 + 10) x 2 = 30 cm.

Pls help me I’m not very smart

Answers

Answer:

39.90

Step-by-step explanation:

multiply 95x42, ur not smart if you think u arent.

39.90 is the answer keep up the work

It take 5 minutes to help a restock an area. How much areas can you restock in 50 minutes?

Answers

Answer:

10 areas

Step-by-step explanation:

5 minutes = 1 area

→ Divide the 50 by the 5

50 ÷ 5 = 10

→ Multiply this by the area

10 × 1 = 10

The price of a printer is $349.00, plus 6% sales tax. What is the sales tax on this printer in dollars and cents?​

Answers

$349.00 x 0.06 (6%) = $20.94 sales tax

The sales tax on this printer is $20.94

What is sales tax?

A sales tax is a consumption tax imposed by the government on the sale of goods and services.

Given that, the price of a printer is $349.00 having a 6% sales tax.

Sales tax = 6% of $349.00

$349.00 x 0.06 = $20.94

Hence, the sales tax on this printer is $20.94

For more references on sales tax, click;

https://brainly.com/question/29442509

#SPJ6

4 The equation 5W + 3 = 4w + 9 is modeled below. w W 1 W W 1 1 W 1 1 W W 1 1 1 What value of w makes this equation true? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. MI - SI – PSA- S-​

Answers

Answer:

w = 6.

Step-by-step explanation:

5w + 3 = 4w + 9

5w - 4w = 9 - 3

w = 6

Then, check your work!

5(6) + 3 = 4(6) + 9

30 + 3 = 24 + 9

33 = 33

So, w = 6 will be the correct answer.

Hope this helps!

Simplify each expression completely.
7[3+2(x-4)-6(x-4)]

Answers

Answer:

21 + 14x - 56 - 42x + 168

= 133  - 28x

Step-by-step explanation:

Answer:

19 - 4x

Step-by-step explanation:

[tex]3 + 2(x - 4) - 6(x - 4)[/tex]

[tex]3 + 2x - 8 - 6(x - 4)[/tex]

[tex]3 + 2x - 8 - 6x + 24[/tex]

[tex]19 + 2x - 6x[/tex]

[tex]19 - 4x[/tex]

Point B is on line segment AC. Given AB=4x-6, AC=2x+10, and BC=4, determine the numerical length of AC

Answers

Answer:

AC = 22

Step-by-step explanation:

AB + BC = AC , substitute values

4x - 6 + 4 = 2x + 10 , that is

4x - 2 = 2x + 10 ( subtract 2x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Then

AC = 2x + 10 = 2(6) + 10 = 12 + 10 = 22

what is x when the tangent of 25 equals x over 11?

Answers

Answer:

x  =  5.12938423

Step-by-step explanation:

Solve for  x   by simplifying both sides of the equation, then isolating the variable.

Can somebody please help? I been struggling to answer this!

Answers

Answer:

the first option is the answer. I am sure of this

Answer:

the first option is the answer

Tìm tập giá trị y = x² - căn 4 - x²

Answers

Answer:

0 and 2 s the answer

Which expression is equivalent to d - 3d – 2d?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]-4d[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the Expression Given...}}\\\\d-3d-2d\\-------------\\\rightarrow 1d-3d-2d\\\\\rightarrow -2d - 2d\\\\\rightarrow \boxed{-4d}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

20x2 y(x2 - y2) and 35xy?(x - y)
lcm

Answers

Answer:

Correct option is

HCF of 20 and 35 = 5

HCF of x2yandxy2=xy

HCF of (x2−y2),i.e.,(x−y)(x+y)

and (x−y)=(x−y)

∴ReqdH.C.F=5xy(x−y)

Step-by-step explanation:

hiiii ur so cute

help asap show work and no links pls

Answers

Answer:

f(1) = 2 f(3) = 8 f(t) = 2^t

Step-by-step explanation:

you just plug in the number in the parenthesis next to f to x in the equation 2^x

I really need help because I’m so confused where to start and it’s due tomorrow :(

Answers

Answer:

1. 8t+4v

A.9v+7t+6

S.14v+7t

Helppp pleaseeeee

Which expression is equivalent to

Answers

Answer:

The second option

Step-by-step explanation:

First, simplify the bracket

[tex] \frac{4r {}^{3} s {}^{2} t {}^{4} }{2r {}^{4} st {}^{6} } [/tex]

Apply Quotient of Powers

[tex]2 {r}^{ - 1} s {t}^{ - 2} [/tex]

Which equals

[tex] \frac{2s}{rt {}^{2} } [/tex]

Raise this to the fifth power

[tex] \frac{32s {}^{5} }{ {r}^{5} t {}^{10} } [/tex]

Multiply by the outsides numbers(5^r^6 and t^4

[tex] \frac{160 {}^{} r {}^{6}s {}^{5} t {}^{4} }{r {}^{5} t {}^{10} } [/tex]

[tex]160r {}^{5} t {}^{ - 6} [/tex]

[tex] \frac{160r {}^{}s {}^{5} }{t {}^{6} } [/tex]

How can 863.141 be written in expanded form?

Answers

Answer:

800 + 60 + 3 + 0.1 + 0.04 + 0.001

someone help please :)

Answers

Answer:

its basically a Cross

the point they cross is p

and the 2 lines are AB and RS

I hope I'm correct.And yea

.hope it helps

Please help!
Please explain your answer because I need to learn this!

Find the measure of angle theta. ​

Answers

Answer:

48.2

Step-by-step explanation:

We have a right angle so we can do our three trig ratios,

Sine Cosine Tangent

Remeber SOHCAHTOA.

We are given some angle theta, and we are given a side adjacent to the angle and the hypotenuse. We are going to use the cosine rule.

[tex] \cos(theta) = \frac{36}{54} [/tex]

[tex] \cos(theta) = \frac{2}{3} [/tex]

Take the inverse of both sides

[tex] \cos {}^{ - 1} ( \frac{2}{3} ) = x[/tex]

Theta is equal to

[tex]48.2[/tex]

3/4x + 4/7y = 5/4x -1...solve for y​

Answers

Answer:

[tex] \frac{3}{4} x + \frac{4}{7} y = \frac{5}{4} x - 1 \\ \frac{4}{7} y = \frac{5}{4} x - 1 - \frac{3}{4} x \\ \\ \frac{4}{7} y = \frac{5x - 4 - 3x}{4} \\ \frac{4}{7} y = \frac{2x - 4}{4} \\ \\ y = \frac{2x - 4}{4} \div \frac{4}{7} \\ y = \frac{2x - 4}{4} \times \frac{7}{4} \\ \\ y = \frac{14x - 28}{16} \\ \\ y = \frac{14x}{16} - \frac{28}{16} [/tex]

I hope I helped you^_^

B
8
С
Find the length of "c" to the
nearest tenth using the
Pythagorean Theorem.
Enter

Answers

Answer:

10.6

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

Where a and b = the legs and c = hypotenuse

We are given two legs and need to find the hypotenuse

Given:

Short leg (a) = 7

Long leg (b) = 8

Hypotenuse = c

Now to find the value of c we simply plug in the values of the variables into the Pythagorean theorem and solve for c

Pythagorean theorem: a² + b² = c²

a = 7, b = 8, c = c

Plug in values

7² + 8² = c²

Now solve for c

Simplify exponents

49 + 64 = c²

Add

113 = c²

Taking the square root of both sides

c = 10.6 ( rounded to the nearest tenth )

Answer:

c = 10.6

Step-by-step explanation:

[tex]h {}^{2} = p {}^{2} + b {}^{2} \\ c {}^{2} = (8) {}^{2} + (7) {}^{2} \\ c = \sqrt{64 + 49} \\ c = \sqrt{113} \\c = 10.6[/tex]

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