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

A student pays 12.50 for headbands

Answers

Answer:

0=0

1=12.50

2=25

3=37.50

4=

Step-by-step explanation:

can anyone solve this please it's an urgent ​

Answers

Answer:

missing element is 6

Step-by-step explanation:

Given

f(x) = x³ - 2 ( substitute x = 2 )

f(2) = 2³ - 2 = 8 - 2 = 6 ← missing element

ordered pair is (2, 6 )

Answer:

[tex]f(x) = {x}^{3} - 2 \\ f(2) = {2}^{3} - 2 \\ = 8 - 2 = 6 \\ (2 \: \: 6) \\ thank \: you[/tex]

How much time has passed from the first clock to the second clock?
The time passed is less than 12 hours. 4:20 and 8:55

Answers

I believe 4 hours and 35 minutes has passed.

Formula: 1/2 b*h b= 4; h=6​

Answers

Answer:

12

Step-by-step explanation:

1/2•4•6 = (4•6)/2 = 24/2 = 12

hey please help i’ll give brain

Answers

Answer:

The missing numbers are 5, then 35, then 49.

Step-by-step explanation:

I promise it's right :)

Hi ;-)

[tex]7\times7=(\boxed5\times7)+(2\times7)\\\\=\boxed{35}+14\\\\=\boxed{49}[/tex]

this is distance & midpoint formulas I don’t know how to solve this can anyone help?

Answers

Answer:

midpoint formula: (x₁ + x₂)/2, (y₁ + y₂)/2

distance: √[(x₂ - x₁)² + (y₂ - y₁)²]

Step-by-step explanation:

What points are you trying to calculate the distance and the midpoint for?

30 Oreo cookies for $2.99
Unit rate

Answers

Answer:

$0.10 per oreo

Step-by-step explanation:

To find the unti rate, all we need to do is divide.

2.99 / 30 ≈ 0.10

Best of Luck!

A car initially traveling at 20 kilometers per hour takes 10 seconds to speed up to 70 km/hour. At what rate is it changing speed?

Answers

Initial velocity=u=20km/hFinal velocity=v=70km/hTime=10s=t

Convert speeds to m/s

[tex]\\ \rm\longmapsto u=20\times\dfrac{5}{18}=5.05m/s[/tex]

[tex]\\ \rm\longmapsto v=70\times \dfrac{5}{18}=19.4m/s[/tex]

[tex]\boxed{\sf Acceleration=\dfrac{v-u}{t}}[/tex]

[tex]\\ \rm\longmapsto Acceleration=\dfrac{19.4-5.05}{10}[/tex]

[tex]\\ \rm\longmapsto Acceleration=\dfrac{14.3}{10}[/tex]

[tex]\\ \rm\longmapsto Acceleration=143m/s^2[/tex]



The area A of the rectangle shown

is described by the inequality

12
compound inequality for x.

8x 3/4

Answers

Answer:

There are generally 3 methods to solve inequalities

Step-by-step explanation:

By algebraic method

Example 1: Solve: 2x - 7 < x - 5

2x - x < 7 - 5

x < 2

By the number-line method.

Example 2. Solve  

f

(

x

)

=

x

2

+

2

x

3

<

0

First, solve f(x) = 0. There are 2 real roots x1 = 1, and x2 = - 3.

Replace x = 0 into f(x). We find f(0) = - 3 < 0. Therefor, the origin O is located inside the solution set.

Answer by interval: (- 3, 1)

--------------------- - 3 ++++++++ 0 ++++ 1 ----------------

3.By graphing method.

Example 2. Solve:  

f

(

x

)

=

x

2

+

2

x

3

<

0

.

The graph of f(x) is an upward parabola (a > 0), that intersects the x-axis at x1 = 1 and x2 = - 3. Inside the interval (-3, 1), the parabola stays below the x-axis --> f(x) < 0.

Therefor, the solution set is the open interval (-3, 1)

graph{x^2 + 2x - 3 [-10, 10, -5, 5]}

You offered a SALARY job of $47,603, and you are expected to work 44 hours a week
What would your hourly rate be?

Answers

Answer:

$20.81

Step-by-step explanation:

There are 52 weeks in a year.

Let's say you get paid x dollars per hour. Every week, you get paid x dollars for each hour you work. If you work 44 hours, you get paid x * 44 dollars a week. We get paid x * 44 dollars each week for a year, for 52 weeks. We can represent this as (x*44) * 52 = x * 2288. This is the amount you get paid each year. Setting that to your yearly salary of $47,603, we have

$47603 = x * 2288

divide both sides by 2288 to isolate x

x ≈ $20.81

Select all the fractions that have the same decimal value

Answers

Answer:

1 and 1/3 as well.

Step-by-step explanation:

Convert 1 and 1/3 to a fraction by multiplying the whole number by the denominator and adding it to the numerator.

1 x 3 + 1 = 4

= 4/3

Question : -6+(-6)+(-6)

Answers

I believe -18!

-6-6-6
Answer: -18
-6-6-6 (add values, keep the negative sign)

simplify 6a+4b+8+3b-4a+9

Answers

Answer:

2a+7b+17

Step-by-step explanation:

MATH

Each number is two times three less than the previous number.

Answers

A sequence is the pattern or rule that guides the creation of a set. The most common sequence are the arithmetic and the geometric sequence.

A sequence that starts with 0 is: 0, -6, -12, -18.....A sequence that starts with 3 is: 3, -3, -9, -15.....

The complete question illustrates that we build a sequence of number.

Let the n term of the sequence be [tex]T_n[/tex].

2 times 3 less than the previous number means:

[tex]T_n = T_{n-1} - 2 \times 3[/tex]

Where:

[tex]T_n \to[/tex] The current number

[tex]T_{n-1} \to[/tex] The previous number

Assume the first number starts with 0, the next numbers will be:

[tex]T_2 = 0 - 2 \times 3 = -6[/tex]

[tex]T_3 = -6 - 2 \times 3 = -12[/tex]

[tex]T_4 = -12 - 2 \times 3 = -18[/tex]

So, the sequence is:

0, -6, -12, -18.....

Assume the first number starts with 3, the next numbers will be:

[tex]T_2 = 3 - 2 \times 3 = -3[/tex]

[tex]T_3 = -3 - 2 \times 3 = -9[/tex]

[tex]T_4 = -9 - 2 \times 3 = -15[/tex]

So, the sequence is:

3, -3, -9, -15.....

Read more about sequence at:

https://brainly.com/question/3649143

4 meters 85 millimeters to milimeters.

Answers

Answer:

4085

Step-by-step explanation:

4 meters = 4000 millimeters + 85

= 4085

Answer:

By changing 4 meters 85 millimetres to milimetres we get 4085 milimetres

Step-by-step explanation:

In the first step change 4m to mm

We know that 1m = 1000mm

So, 4m = 4000mm

Now add 4000mm to 85mm

= 4000mm+85mm

= 4085mm

Work out 3% of 860kg

need this asap!!!

Answers

Answer:

3% of (860 kilograms) =

25.8 kilograms

Answer:

Step-by-step explanation:

3 * 860/100

= 2580/100

= 25.8.

A toy manufacturer produces a set of blocks, with edge b, that can be used by children to build play structures. The production team is analyzing the amount of paint they need for a block

Answers

The expression for the total number of blocks is

This question seems to be incomplete. Here is the complete question :

A toy manufacturer produces a set of blocks that can be used by children to build play structures. The product packaging team is analyzing different arrangements for packaging their blocks. One idea they have is to arrange the blocks in the shape of a cube, with b blocks along one edge.

Write an expression representing the total number of blocks packaged in a cube measuring b blocks on one edge.

A cube is a 3-dimensional object that has six faces.

Characteristics of a cube

It has six faces It has twelve edges It has eight vertices Intersecting edges are perpendicular

Volume of a cube = a³

Where a = length of a side

The expression that would be given is the volume of a cube. Since the length of the edge is b, the expression would be

To learn more about cubes, please check : https://brainly.com/question/11168779?referrer=searchResults

if two rectangles have the same perimeter, do they have to be congruent??​

Answers

Answer:

No they do not have to be congruent.

Two rectangles with the same perimeter but may not be congruent, because the length and width dimensions of each may be different.

Could someone please walk me through how to solve this?

Answers

[tex] \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }[/tex]

Room A is cleaned every 9 days. Room B is cleaned every 6 days. What is the fewest number of days that will pass before both rooms are cleaned again on the same day?​

Answers

Answer:

on the 18th day

Step-by-step explanation:

LCM for 6 and 9 is 18 :)

Consider the graphs of f (x) = l x l + 1 and g (x) = 1/x^3. The composite functions f(g(x)) and g(f(x)) are not commutative, based on which observation?

Answers

Answer:

C on edge

Step-by-step explanation:

The domains of f(x) and g(x) are different. (answer)

The domains of graph f(x) and g(x) are different.

What is commutative function?

A mathematical operation is commutative if the numbers used can be changed without changing the outcome. As illustrated here, addition and multiplication are two examples of commutative operations. 2+3 = 5

3+2 = 5

2*3 Equals 6

3*2 Equals 6.

To learn more about commutative functions refer to:

https://brainly.com/question/17299449

#SPJ2

10) Joe's farm has 2 pumpkin fields with a total area of 5 3/4 , acres. The big field
yields 2 1/3 Tons of pumpkins and the small field yields 1 2/5 Tons of pumpkins
a) what is the total yield of both fields?
b) what is the total yield per acre for both fields combined?

Answers

I think a should be 3 and 11/15 tons. I think b should be 224/345 tons per acre.

MN has the endpoints at M(3,7) and N(-9,3) what is the midpoint of MN?

Answers

Midpoint formula =

M = ( X1 + X2) divided by 2 , (Y1 + Y2) divided by 2 = m=(x ,y)

So then, we plug in our numbers .

M= (3+ -9)/2 , (7+3)/2
M= (-3, 5)

You want to frame a picture that is 5in by 7in with a 2.5 inch-wide frame.


a. What is the perimeter of the pictures? What is the perimeter of the outside edge of the frame?

b. What is the area of the picture? What is the area of the frame?

Answers

Do 5+5+7.5+2 = 19.5!

In the figure below, line / line m. If the measure of Z1 =125° and the measure of <=50', then what is the measure of
25 ?
5
34
m
05
O 75
O 55
O 105

Answers

55 because alternate interior angles are congruent and then you can do some basic algebra
Answer: angle 5 is 55 degrees.

Start by solving for angle 2 by using the linear pair rule: all linear angles sum to 180

125 + angle 2 = 180

angle 2 = 55

Now, we know that line l and line m are parallel. If we look at these two lines plus the left side of the triangle, we can see it forms a z shape. This means angle 2 and angle 5 are alternate exterior angles. This means they are congruent.

Given f(x)=9x^2 find f(-3)

Answers

Answer: f(-3) = 81

Step-by-step explanation:

f(-3) = 9(-3^2)

f(-3) = 9(9)

f(-3) = 81

Answer:

f(- 3) = 81

Step-by-step explanation:

Substitute x = - 3 into f(x) , that is

f(- 3) = 9(- 3)² = 9(9) = 81


Evaluate
(9n +8m)
—————
2j
when n = 4, m = -2 and j = 5
2j

Answers

Answer:

2

Step-by-step explanation:

Let n= 4, m= -2 and j= 5(9n + 8m)/2j= 9(4) + 8(-2)/2(5)= 36 + (-16)/10= 20/10= 2

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

simplify 9(8x - 9) + 13x

Answers

Answer:

85x-81

Step-by-step explanation:

random word to fill up word counter

Step 1: distribute
9(8x-9)+13x
72x-81 + 13x
Step 2 : combine like terms
72x-81 + 13x
85x-81
Final Answer ? 85x-81

Solve for x. Show all your work to receive full credit.

Answers

Answer:

x=6

Step-by-step explanation:

23x-5 + 5x+17 = 180

28x+12=180

28x=180-12

28x = 168

x=168/28

x= 6

A strawberry cake recipe need w eggs for every 200g of flour. How many eggs are needed for 1000g of flour

Answers

Answer:

5w eggs

Step-by-step explanation:

200 * 5 = 1000

so if w eggs are needed for 200 g of flour

then 5 * w eggs are needed for 200 * 5 = 1000 g of flour

Answer:

5w eggs

Step-by-step explanation:

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