Rewrite each equation without absolute value for the given conditions. y = |x−3| + |x+2| − |x−5| if x>5

Answers

Answer 1

Using the definition of the absolute value function, it is found that the equation is written as: y = x + 4

What is the definition of the absolute value function?

It is the distance of a given point x to the origin(vertex of the function), hence the definition is as follows:

[tex]|x - a| = x - a, x \geq a[/tex]

[tex]|x - a| = -x + a, x < a[/tex]

Hence, considering that all expression are positive for x > 5, we have that:

|x - 3| = x - 3;|x + 2| = x + 2;|x - 5| = x - 5;

Then, the expression is:

y = |x−3| + |x+2| − |x−5|

y =  x - 3 + x + 2 - x + 5

y = x + 4

More can be learned about the absolute value function at https://brainly.com/question/24734454


Related Questions

There are 5 yellow marbles, 1 purple marble, 3 green marbles, and 3 red marbles in a bag. Once a marble is drawn, it is replaced. Find the probability. P(not red then yellow)

(Hint: If there are 3 red marbles and 12 total how many marbles are not red? Also, make sure to SIMPLIFY your answer)

Answers

Answer:

5/16.

Step-by-step explanation:

There are 12 marbles in the bag, 3 are red and 5 are yellow).

P(not red) =  (12/3)/12 = 9/12 = 3/4.

P(yellow) =  5/12.

P(not red then yellow) = 3/4 * 5/12

=  15/48

=  5/16.

the sum of two numbers is 19, and their difference is 55, what are the two numbers?



Answers

Answer:

sum = 37 + -18 =19

difference = 37 - -18 = 55

Step-by-step explanation:

What is the simplified form of the following expression?

Answers

Answer:

[tex]3\sqrt[n]{100x} /5[/tex]

Step-by-step explanation:

May God bless you and your family during spring break

Find the LCM of 2 and 21

Answers

the answer is 10 because it had

A line is defined by the equation Y equals negative X +3. Which shows the graph of this line?

Answers

it will go downwards left t right (negative slope) and pass through the y intercept at (0,3)

Answer:

A

Step-by-step explanation:

Find the value of a in the parallelogram shown to the right. Note that the figure is not drawn to scale.

Answers

Answer:

Step-by-step explanation:

3a + 26 = 86

3a = 86 - 26 = 60

a = 60/3 = 20

A= 61 degrees, a= 14, and b=21, solve the triangle

Answers

Answer:

a=18,b=21,c=14

Step-by-step explanation:

A new car lost 20% of its value the first year it was owned and lost another 15% the next year. If the car had an original value of 15,000, how much was the car worth after 3 years?

Answers

Answer:

45

Step-by-step explanation:

first year- 15000*0.20=3000

second year- 3000*0.15=450

every year the car looses 5%

third year- 450*0.10=45

i think thats the answer

please answer this question​

Answers

Related Concept :-

[tex] \\ \\ \\ [/tex]

[tex]\begin{gathered}\boxed{\boxed{\begin{array}{ |c |c|c|c|c|c|} \bf\angle A & \bf{0}^{ \circ} & \bf{30}^{ \circ} & \bf{45}^{ \circ} & \bf{60}^{ \circ} & \bf{90}^{ \circ} \\ \\ \rm sin A & 0 & \dfrac{1}{2}& \dfrac{1}{ \sqrt{2} } & \dfrac{ \sqrt{3}}{2} &1 \\ \\ \rm cos \: A & 1 & \dfrac{ \sqrt{3} }{2}& \dfrac{1}{ \sqrt{2} } & \dfrac{1}{2} &0 \\ \\ \rm tan A & 0 & \dfrac{1}{ \sqrt{3} }&1 & \sqrt{3} & \rm \infty \\ \\ \rm cosec A & \rm \infty & 2& \sqrt{2} & \dfrac{2}{ \sqrt{3} } &1 \\ \\ \rm sec A & 1 & \dfrac{2}{ \sqrt{3} }& \sqrt{2} & 2 & \rm \infty \\ \\ \rm cot A & \rm \infty & \sqrt{3} & 1 & \dfrac{1}{ \sqrt{3} } & 0 \end{array}}}\end{gathered}[/tex]

[tex] \\ \\ [/tex]

user's note :-

total 5 pictures are attached please let me know if you find answer difficult to understand or wrong (so that I can edít).

Of the students in sixth grade, 3/4 pack their lunch. What percent of students pack their lunch

Answers

Answer:

See below.

Step-by-step explanation:

75% of students pack their lunch. 3/4 as a decimal is 0.75. 0.75 as a percentage is 75%.

-hope it helps

Answer: 75%

Use division to convert the fraction to a decimal: 3/4 = 3 ÷ 4 = 0.75.

Multiply by 100 to get percent value: 0.75 × 100 = 75%

what do you do to the b value to correctly complete the square?

Answers

Answer:

Divide it by 2 then multiply it by the answer. For example b is 4, divide it by 2. Then multiply by itself which is 2. Then answer is 4.

Factor completely.
7x^2 + 35x + 42 =

Answers

Answer:

the answer would most certainly be 7(x+2)(x+3)

-2^2+-15/3= please solve

Answers

Answer:

-9

It is -9 and I don't feel like working it out so here is he answer straight

L=12.5

W=32.25

Volume=8223.75

Answers

Answer:

20.4

Step-by-step explanation:

The formula to find the volume of a rectangular prism is :

Volume = length × width × height

Given that,

Volume = 8223.75 in³

length = 12.5 in

width = 32.25 in

height = ?

Now let us use the formula and find the height.

V = l × w × h

8223.75 = 12.5 × 32.25 × h

8223.75 = 403.125h

Divide both sides by 403.125.

20.4 = h

Therefore,

height = 20.4 in

what is the answer to 12x2

Answers

Answer:

24

Step-by-step explanation:

12 + 12 = 24

Answer:

it is 24

Step-by-step explanation:

Given the equation y=14x−6, the slope of the line is
and the y-intercept is
.

Answers

Answer:

Slope = 14

Y int. = -6

Step-by-step explanation:

The slope intercept form is y = mx + b. m being slope, and b being y intercept. In this case 14 = m and -6 = b.

don't have to give me answer i just don't know how to show my work. HELP ASAP
Question is in image below

Answers

Answer:

40

Step-by-step explanation:

15+12+5+8= 40 we added to get our answer.

Lauren hiked 16,900 feetin the morning and 14850 feet in the afternoon. Estimate the total number of miles Lauren hiked that day.

Answers

Answer: 6 miles!

Step-by-step explanation:

There are 5280 ft in a mile (you can remember this by saying five to-mat-os haha). In total, Lauren walked 16,900+14,850= 31,750 ft. To find how many miles she hiked you would simply divide by 5,280. I plugged this division problem into my calculator and got about 6 miles.

what the heck I went ahed to my teacher and asked her what P versus NP. is and I don't know what it is and she walked away please help me

Answers

Answer:

The P versus NP problem is a major unsolved problem in computer science. It asks whether every problem whose solution can be quickly verified can also be solved quickly.

P is the set of problems whose solution times are proportional to polynomials involving N's. ... NP (which stands for nondeterministic polynomial time) is the set of problems whose solutions can be verified in polynomial time. But as far as anyone can tell, many of those problems take exponential time to solve.

This package of sliced cheese costs $2.97.

How much would a package with 18 slices cost at the same price per slice?

[ans1]

Answers

Answer:

each slice of cheese costs $0.17. not sure if that's what you're asking though

Step-by-step explanation:

Answer:

$53.46

Step-by-step explanation:

this one kinda stumped me but it is easy if you think about it. so you take your money number ($2.97) and multiply it by 18. if this is confusing here is another way to look at it. you see there are 18 slices of cheese and you multiply it by the number 2.97 and get your answer. if this did not help i'm sorry i'm new so i don't really know how to answer correctly

2.16 X ten thousand please help yall

Answers

2160

hope this helps

WILL MAKE YOU THE BRAINLEST

just to be clear this is algerbra 1
Six friends all use $2 coupons to buy movie tickets. They spend a total of $42, what is the price of one ticket without the coupon?

Answers

Answer:

$9

Step-by-step explanation:

6(x-2)=42

x-2=7 (divide by 6 on both sides)

x=9 (add 2 to both sides)

Answer:$9







Explanation:

Solve this, x + 2 = 10​

Answers

Hey there!

=> x + 2 = 10

=> x = 10 - 3

=> x = 8

~Done~

13. What polynomials describes the area of the rectangle shown?
1x +5
2x-4

Answers

Answer:

2x² + 6x - 20

Step-by-step explanation:

A = ( 2x - 4 )( x + 5 )

A = 2x( x + 5 ) - 4 ( x + 5 )

A = 2x² + 10x - 4x - 20

A = 2x² + 6x - 20

Mila has a DRF of 1.15 and a 6-month basic rate of $650. What is her annual premium?​

Answers

Answer:

$1625

Step-by-step explanation:

Answer:

1495

Step-by-step explanation:

2*1.15*650

Our class can rent a bus that will cost $35 for a service fee plus $2 for every travel. We have a total of $150 we can spend on the rental. Write an equation and solve it to find out the greatest distance we could travel. Equation:​

Answers

Answer: 4

Step-by-step explanation:

add 35 with 2 = 37 and then divide 150 divided by 37 = 4

Evaluate the expression y2-y1/x2-x1 for the pairs (-7,-8) and (-5,2).

Algebra

Answers

Answer:

Slope (M) 5.000000

Distance (D) 10.198039

Δx 2.00

Δy 10.00

Step-by-step explanation:

Please Help Me! I Need Help!

Answers

Answer:

3

Step-by-step explanation:

The constant of proportionality is y/k

k = 21/7 = 3

Simplify 10^–8.
from edge 2022

Answers

Answer/Step-by-step explanation:

[tex]10^{-8}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]10^{-8}=\frac{1}{10^8}[/tex]

[tex]10^8=100000000[/tex]

[tex]=\frac{1}{100000000}[/tex]

or [tex]1e-8[/tex]

Decimal Form: 0.00000001

Hence, the following below might be your answer [Different form]:

1e - 80.000000011/100000000

[RevyBreeze]

miles has 25 coins In his pocket. Some are Nichols and some are dimes. He has a total of $1.65 how many of each type of coin does he have?​

Answers

▪ Answer:

n = 17

d = 8

▪ Step-by-step explanation:

Hi there !

1 nickel = 5c

1 dime = 10c

$1.65 = 165c

n + d = 25 => n = 25 - d

5n + 10d = 165

replace n

5(25 - d) + 10d = 165

125 - 5d + 10d = 165

5d = 165 - 125

5d = 40

d = 8 (dimes)

n = 25 - d

n = 25 - 8

n = 17 (nickels)

Good luck !

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