how do you solve this absolute value equation? ∣x−2∣=∣4+x∣

Answers

Answer 1

l x - 2 l = l 4 + x l

Remember : Absolute is just the distance from zero.

Ex : l -4 l turns into 4, as it is 4 spaces away from zero on a number line :)

l x - 2 l turns into x + 2

l 4 + x l stays the same.

So, our equation now looks like this :

x + 2 = 4 + x

So, we're basically just trying to get x by itself.

So, subtract 2 from both sides.

x = 4 + x - 2

Then, subtract x from both sides.

x - x = 4 -2

0 = 2

Therefore, there are no solutions to this equation :)

~Hope I helped!~

Related Questions

50 POINTS! PLEASE HELP!
Which of the binomials below is a factor of this trinomial? x2 - 3x - 4
A. x2 + 4
B. x + 4
C. x - 4
D. x + 8

Answers

x² -3x - 4
x -4
x 1

(x-4) (x + 1)

your answer is C.x - 4

hope this helps

Answer:

c) x - 4

Step-by-step explanation:

To do a factorization of this kind of trinomial there is a technique very easy to do it.

First, you need to see the numbers that are along with the x and the independent number.

In this case -3 and -4 (I will call them b and c)

Next, you need to think in two numbers that can acomplish the following:

x * y = c

x + y = b

So, first, think, which are two numbers that you can multiply between them to give as a result -4?.

In this case it would be -4 and 1 (-4*1 = -4)

These numbers if you do a sum you'll get -3:

-4 + 1 = -3

So the factorization becomes this:

(x - 4) (x - 1)

So, one of the factors is x - 4. Option c

An equation with an exponent is called an exponential equation. true or false?

Answers

An equation with an exponent is called an exponential equation? Answer: A) True.

the answer to that question would be TRUE

25. What is (2.5 X 102)(6.3 X 105) in scientific notation? Show all your work below
a. 1.575 X 107
b. 1.575 X 106
c. 1.575 X 1010
d. 1.575 X 108

Answers

The correct answer is: [A]: " 15.75 * 10⁷ " .
___________________________________________________
The problem is:
___________________________________________________
"What is: "(2.5 * 10²) (6.3 * 10⁵)" (in scientific notation)?
___________________________________________________
(2.5 * 10²) (6.3 * 10⁵) =

2.5 * 10² * 6.3 * 10⁵ =

2.5 * 6.3 * 10² * 10⁵

= 2.5 * 6.3 * 10⁽² ⁺ ⁵) =

= 2.5 * 6.3 * 10⁷ ;
______________________________________________________
Note the following property of exponents:
______________________________________________________
xᵃ * xᵇ = x ⁽ᵃ ⁺ ᵇ⁾ ;
______________________________________________________
Thus: 10² * 10⁵ = 10⁽² ⁺ ⁵) = 10⁷ ;
______________________________________________________
So; we have:
______________________________________________________
2.5 * 6.3 * 10⁷ ;

→ 2.5 * 6.3 * 10⁷ = (2.5 * 6.3) * 10⁷ = 15.75 * 10⁷ .
______________________________________________________
The answer is: [A]: " 15.75 * 10⁷ " .
______________________________________________________

Match each step to its justification to solve 2x+5=19

Answers

it is the steps to get to that certain step
some of the steps are out of order
I'm going to assign letters

the order is
A: 2x+5=19
B: 2x+5-5=19-5
C: 2x=14
D: 2x/2=14/2
E: x=7

A: given
B: we subtracted 5 from both sides so subtraction property of equality
C: subtract
D: divison property of equality (we divide both side by 2)
E: divide

The steps :

given subtraction property of equality subtract division property of equality divide Further Explanation

One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:

[tex]\large{\boxed{\bold{ax=b}}}[/tex]

ax + b = c, where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

[tex]\large{\boxed{\bold{ax+by=c}}}[/tex]

ax + by = c

x, y = variable

There are 2 general steps to solving a linear equation of one variable:

1. add or subtract both segments with the same number so that it is expected that in one segment there are only variable modifiers or constant numbers 2. Change the equation into a simple form so that the coefficient of the variable is 1

This can be done by dividing or multiplying by equal numbers

An equation will remain equivalent if both segments are multiplied or divided by the same number

In the equation

2x + 5 = 19

The right steps to complete it according to the images included are:

1. 2x + 5 = 9 ⇒ given 2. both segments are subtracted by the number 5

2x + 5 -5 = 9-5 ⇒subtraction property of equality

3. 2x = 14 ⇒subtract 4. both segments are divided by 2 so that the coefficient x = 1

[tex]{\displaystyle {\frac {2x} {2}}=~\frac{14}{2}[/tex]

⇒division property of equality

5. x = 7 ⇒ divide

Learn more

the slope-intercept form of the linear equation

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a graph of a linear equation

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system of linear equations

brainly.com/question/11544167

Keywords: variable, linear equation

The sum of two numbers is 180. One number is 5 times the other.

Answers

x +5x =18

6x =180

x = 180/6 = 30

1 number is 30

2nd number is 5*30 = 150

24 loaves of bread cost $48. How much do 10 loaves cost

Answers

48 /24 = 2...so it cost 2 bucks per loaf...

for 10 loaves...
2 * 10 = $ 20 <===

48 divided into 24 is 2. so 10 times 2 is 20.

a 12-ft-by-15-ft swimming pool has a 3-ft-wide no-slip surface around it. what is the outer perimeter of the no-slip surface?

Answers

see diagram

we see we doulbe the 3 to add
3*2=6

6+12=18
6+15=21
thelength and width of the surfface is 18 by 21

P=2(L+W)
P=2(21+18)
P=2(39)
P=78

the perimiter is 78ft

Answer:

Step-by-step explanation:

78 ft

Math Quiz Question! Measuring segments and Angles

In the diagram, m < ACB = 65
m < BCD =

Answers

I think it's 115

180-65= 115=<BCD

If |x| = 6 then x = -6 or

Answers

The integers 6 and -6 both have the absolute value of 6.
Remember that absolute value is the distance from the number and 0 on a number line.

Final answer: x=-6 or x=6

Harry buys a sofa set that costs $2000.00. He pays for it by installments at an interest rate of 5% per year. What is the total amount he has to pay at the end of the one year?

Answers

2000 = 100%
? = 105%

To calculate~~~~

[tex] \frac{2000}{100} [/tex] X 105

= $2100.00

Harry is required to pay an additional $100 as interest for one year on the $2000 sofa, bringing the total payment to $2100 at the end of the year.

Harry buys a sofa set at a cost of $2000 with an installment plan that includes an interest rate of 5% per annum. To calculate the total amount Harry needs to pay at the end of one year, you need to calculate the interest and then add it to the principal amount.

The interest for one year is calculated as follows:

Interest = Principal imes Rate imes Time.

Interest = $2000 imes 5% imes 1 year.

Interest = $2000 imes 0.05 imes 1.

Interest = $100.

Now, we add the interest to the principal amount to find the total amount Harry has to pay by the end of the year:

Total Amount = Principal + Interest.

Total Amount = $2000 + $100.

Total Amount = $2100.

Therefore, Harry will have to pay a total of $2100 at the end of one year.

Use the data from the following chart to answer the question below.

it was 1.0 that was water this is what i have g/cm3

According to the chart, one milliliter of water would have a density of _____.

100 g/cm 3
10 g/cm 3
1 g/cm 3
cannot be determined

Answers

The answer to this question would be: 1 g/cm 3
The density of water should be 1g/cm3. If you want to know how much it is in a milliliter, then you need to convert the cm3 into the milliliters. But the question is about density. The density of water will not be changed if its volume became less. The volume only used to determine the water weight. In this case, 1 milliliter of water will weight: 1ml * 1g/cm3 * 1cm3/ml= 1 gram

Answer:

1 g/cm 3

Step-by-step explanation:

Joe earns $10 per hour babysitting and $5 per hour dog walking. He also earns tips for each job. Last week Joe spent 6 more hours walking dogs than babysitting. He received $5 in tips for babysitting and $10 in tips for dog-walking. Joe earns the same total amount for each job. Write an equation to represent the situation. Use the variable H to represent the number of hours Joe spent babysitting.

Answers

10h + 5 = 5(h+6)+10

10h + 5 = 5h + 30 +10
10h-5h = 30 +10 -5
5h = 35
h=7

Answer:

Step-by-step explanation:

What is the equation of the line that is parallel to the given line and passes through the point (−4,−6 )?

A. x = −6
B. x = −4
C. y = −6
D. y = −4

Answers

The question says that the line is parallel to the line above, so it is horizontal. When the line is horizontal it will be a 'Y=' Then, you take a look at the y axis and check to see what part of the axis the line is going through. Therefore, you can figure out that the awnser is C. I hope this explanation helps!

we know that

The given line is parallel to the x-axis

the equation of the line that is parallel to the given line and passes through the point [tex](-4,-6 )[/tex] will be equal to the y-coordinate of the point

The y-coordinate of the point is [tex]-6[/tex]

therefore

the equation is

[tex]y=-6[/tex]

the answer is the option C

[tex]y=-6[/tex]

Given quadrilateral jklm with diagonals that bisect the vertices, what kind of quadrilateral is jklm? rhombus parallelogram trapezoid generic quadrilateral (no more specific classification can be determined)

Answers

A rhombus is part of a parallelogram with four sides have the same length such as square. The diagonals of a rhombus is always bisect vertices and the diagonals of a parallelogram can bisect vertices if the 4 sides are congruent which really means that it is a rhombus.

What is the value of y?

Enter your answer in the box.

Answers

I believe it is 64 degrees

In this problem, we want to find the measure of the third angle of the given triangle. Remember that the sum of the interior angles of a triangle is equal to 180 degrees.

Let's start off by writing an equation representing the sum of the interior angles of the given triangle.
y+79+37=180

Now, let's solve the equation for the variable 'y'.
y+79+37=180

Combine like terms:
y+116=180

Subtract 116 from both sides of the equation:
y+116-116=180-116
y=64

The measure of angle y is 64 degrees.

Sarah has a job at a salon and she earns $50 per day plus tips. Her average tip is 15% of the total amount her customers spend on services. Sarah's daily income is represented by the variable y and the amount her customers spend is represented by the variable x. Which equation represents Sarah's daily income?

Answers

The answer would be A- Y=0.15x+50

3 -2 is equivalent to _____.

A -6
B -9
C 1/9
D 1/6

Thanks!

Answers

i believed your question 3 -2 is as 3^-2
if so then

3^-2 = 1/3^2 = 1/9

answer
C 1/9

t−12/2=3/t2−3
solve for T

–3
–1
1
3

Answers

Solve for T by simplifying both sides of the equation, then isolating your variable.
The answer is 3.

Is the following definition of perpendicular reversible? If yes, write it as a true biconditional. Two lines that intersect at right angles are perpendicular.

A. The statement is not reversible.

B. Yes; if two lines intersect at right angles, then they are perpendicular.

C. Yes; if two lines are perpendicular, then they intersect at right angles.

D. Yes; two lines intersect at right angles if (and only if) they are perpendicular.

Answers

A biconditional statement is a statement in which it is inherently true but when the clauses are exchanged, the statement would still be regarded as true. In this case, the statement is biconditional. The answer that would make sense here would be C. Yes; if two lines are perpendicular, then they intersect at right angles.

There are between 50 and 60 eggs in a basket. When Mohammed counts by 3's, there are 2 eggs left over. When he counts by 5's there are 4 left over. How many eggs are there in the basket?

Answers

Hello There!

3 : 48, 51, 54, 57, 60
5: 50, 55, 60

Choose a number that satisfies both:

59

When divided by 3 it has a remainder of 2
When divided by 5 it has a remainder of 4.

There are 59 eggs in the basket.

Hope This Helps You!
Good Luck :)

The correct answer is:

Explanation:

The numbers between 50 and 60 that are divisible by 3 are

51, 54, 57, 60

The numbers between 50 and 60 that are divisible by 5 are

50, 55, 60

We know that when he counts by 3s, he has 2 left over; this means the number he counts to is 2 fewer than the number of eggs. This means, counting by 3s, we could have

51+2, 54+2, 57+2, or 60+2 = 53, 56, 59, 62

62 is not an option, since we know we have between 50 and 60 eggs; this gives us 53, 56 or 59.

We also know that when he counts by 5s, he has 4 left over; this means the number he counts to is 4 fewer than the number of eggs. This means, counting by 5s, we could have

50+4, 55+4, 60+4, or 54, 59, 64

64 is not an option, since we know we have between 50 and 60 eggs; this gives us 54 or 59.

The only number in both lists is 59, so this must be the answer.

True or false: it is possible to determine a vector if only one of its components is known.

Answers

false because you must know all of its components in order to solve the equation

Tony will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $60 and costs an additional $0.30 per mile driven. The second plan has no initial fee but costs $0.80 per mile driven. How many miles would Tony need to drive for the two plans to cost the same?

Answers

Hello.

The first car has a cost that can be calculated as a function of the miles driven:

f(m) = 60 + 0.3m

The second has a similar comportment:

s(m) = 0.8m

We want f(m) = s(m).

60 + 0.3m = 0.8m

0.8m - 0.3m = 60

0.5m = 60

m = 60 / 0.5

m = 120.

Tony would need to drive 120 miles to pay the same amount.

If, while training for a marathon, you ran 76 miles in 2 2/3 months, how many miles did you run each month? (Assume you ran the same amount each month)

Answers

In 2 2/3 months you ran 76 miles.
To know how many miles you ran each month, you can simply use cross multiplication as follows:
number of miles per month= (76) / (2 2/3)
= 28.5 miles

11+22+33+...+1010 is divided by 5. what is the remainder? (a) 0 (b) 1 (c) 2 (d) 3 (e) 4

Answers

adding the last digits 1+2+3+4+5+6+7+8+9+0 = 45

so the sum will end in 5 so its divisible by 5 and the remainder will be 0

It (a)

How do I solve this ?

Answers

1. x=6

2. n=5

CHECK MY ANSWERS IN CASE I MADE A MISTAKE

Because they are equivalent, you can cross multiply.

3*4=2x
12=2x
6=x

Final answer: x=6

You are making balloon arrangements for a birthday party. there are 16 white balloons and 24 red balloons. each arrangement must be identical. what is the greatest number of arrangements you can make using every balloon?

Answers

This is basically a GCF problem. To find the GCF, we list the factors of each number.
24 = 1×24, 2×12, 4×6, 8×3 ...

16 = 1×16, 2×8, 4×4, ...

The greatest common factor is 8 because it is the greatest factor we can find.
So 8 arrangements

In the expression 4^9 the number 9 is called the

Answers

The answer to your question is exponent. When you have 4^9 it stands for 4 to the 9th power with the 9 is considered an exponent.
Hope this helps

The elevation of Death Valley-282 feet. The Mississippi River in Illinois has an elevation of 279 feet. Which is closer to sea level?

Answers

The absolute value of a number tells us how far away from 0 that number is...

death valley : | -282 | = 282....so this is 282 spaces from 0
mississippi river : | 279 | = 279...so this is 279 spaces from 0

so the mississippi river is closer to 0 then death valley

The Mississippi River is closer to sea level.

What is the length?

It is the measure of distance between the two points called length.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The elevation of Death Valley is 282 feet.

The Mississippi River in Illinois has an elevation of 279 feet.

If the length of the elevation of Death Valley 282 is greater than the length of the Mississippi River 279.

The Mississippi River is closer to sea level.

More about the distance link is given below.

https://brainly.com/question/26711747

#SPJ2

P and q are on a number line. If p has a coordinate -5 and pq =7 , what could the coordinate of p be

Answers

2 and -12 are the coordinates of p

Mick has a bag with 2 mint sticks, 11 jelly treats, and 7 fruit tart chews. If he eats one piece every 10 minutes, what is the probability his first two pieces will be a jelly treat and a mint stick?

Give your answer in a percent.

Answers

Final answer:

To find the probability, calculate the probabilities of selecting a jelly treat and a mint stick. Then multiply these probabilities together to find the overall probability.

Explanation:

To find the probability that Mick's first two pieces will be a jelly treat and a mint stick, we need to calculate the probability of selecting a jelly treat and a mint stick from the bag.

First, we need to find the total number of pieces in the bag: 2 mint sticks + 11 jelly treats + 7 fruit tart chews = 20 pieces.

The probability of selecting a jelly treat as the first piece is: 11 jelly treats / 20 total pieces = 0.55 or 55%.

After Mick has eaten one piece, there are now 19 pieces left in the bag.

The probability of selecting a mint stick as the second piece is: 2 mint sticks / 19 remaining pieces = 0.105 or 10.5%.

Therefore, the probability that Mick's first two pieces will be a jelly treat and a mint stick is 55% * 10.5% = 0.055 or 5.5%.

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