express f (x) = |x-5| as a piecewise defined function

Answers

Answer 1

if x>5......f(x)= x-5
if x <5......f (x)= -x+5

Related Questions

Natalie runs at a rate of 5/8 miles in 1/6 of an hour at this rate how long will it take her to run 2 1/2 miles

Answers

This problem is easily solved using an equation of ratios, as follows:

(5/8) mile 2 1/2 mi
-------------- = ----------=--
(1/6) hour x

Cross multiplying, (5/8)x = (1/6)(5/2)

Thus, (5/8)x = 5/12

x = (5/12) / (5/8) = 8/12 hour, or 2/3 hour, or 40 minutes.

Emily has 32 grams of a 25% sugar syrup, but this is just too sweet for her! How much pure water should she add to have a 10% syrup?

Answers

By this information, we know: (just so you know, when I will write the equation, the multiplication sign will be ^)

25%+0%=10%
32g xg (32+x)g
Now, we create an equation:

(0.25^32)+(0^x)=0.1^(32+x)
8+0=3.2+0.1x
8=3.2+0.1x
4.8=0.1x
48=x
Answer: 48 gram.

48 grams of water is added to the syrup solution.

Percentage

It represents the x value of something out of 100 is called percentage.

Given

32 gram of a 25% sugar syrup.

To find

How much pure water should she add to have a 10% syrup?

How to calculate?

Let x gram of water is added.

25% + 0% = 10%

(32)g (x)g (x+32)g

Now we create the equation.

[tex]\begin{aligned} (0.25*32) + (0*x) &= [(x+32)*0.1]\\8 + 0 &= 0.1x + 3.2\\8 - 3.2 &= 0.1x\\4.8 &= 0.1x\\x &= \dfrac{4.8}{0.1} \\x &= 48\\\end{aligned}[/tex]

Thus, 48 grams of water is added to the syrup solution.

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Ms. trane puts some stickers in 3 rows.there are 2 stickers in each row. how many stickers does Ms. Trane have

Answers

3 x 2= 6

She has 6 stickers

Ms. Trane has 6 stickers because you would multiply 3x2 and that equals 6.

Hope this helped, let me know if you ever need any more help :)

HELP PLEASE ILL GIVE BRAINLIEST

Answers

8 [tex] \frac{19}{24} [/tex] || Hope this is what your looking for ^.^

∠C and ∠D are vertical angles with m∠C=−3x+58 and m∠D=x−2 .

What is m∠D ?

Answers

vertical angles are equal

-3x + 58 = x - 2
-3x - x = -2 - 58
-4x = - 60
x = -60/-4
x = 15

m < D = x - 2....15 - 2 = 13 <====
m < C = -3x + 58....-3(15) + 58 = 13

Answer:

m<D is [tex]13^{0}[/tex]

Step-by-step explanation:

Vertically opposite angles are said to be equal angles, thus;

m<C = m<D

So that,

-3x + 58 = x -2

-3x - x = -2 -58

- 4x = - 60

x = [tex]\frac{- 60}{- 4}[/tex]

x = 15

Thus,

m< D = x - 2

= 15 - 2

= [tex]13^{0}[/tex]

Therefore, m<D is [tex]13^{0}[/tex]

6/x +3=
3x- 6=
6 (x+3)=

tip: 6/x is a fraction

Answers

We don't know exactly what x is, so the best we can do is simplify these expressions. For 6/x+3, we know that both 6 and 3 are factors of 3, so using the distributive property, 3*2/x+3*1=3*(2/x+1). For 6(x+3), we can use the distributive property to get 6*x+6*3=6x+18. Good luck on the middle expression (I'd recommend using a similar strategy to the one I used), and feel free to ask any questions!

At a party, 10 people equally shared 2 1/2 gallons of ice cream. How much ice cream did each person get?

Answers

2.5 gallons is divided among 10 people.
2.5/10=0.25 gallons

2 1/2= 2.5 so therefore 10÷2.5=4. and that then is simplified to 0m25

how many 1/4 cups are there in 3/4 cup?

Answers

there are 3 1/4 cups in 3/4 cups

There are 3 cups of 1/4 cups in 3/4 cups.

What is ratio and proportion?

explanation;

3/4 is equal to 3 times 1/4. 3 times

⇒ 1/4 implies 3×1/4 = 3/4.

A ratio is an ordered pair of numbers a and b, written a / b in which b does no longer identical zero. A proportion is an equation wherein ratios are set equal to each other. The share components is used to depict if two ratios or fractions are same. we can find the lacking fee by dividing the given values. the proportion formula can be given as a: b::c : d = a/b = c/d wherein a and d are the acute terms and b and c are the mean phrases.

The quantitative relation among two quantities showing the number of times one cost consists of or is contained inside the other. The indicated quotient of two mathematical expressions. b : the connection in quantity, quantity, or size among or more matters.

A ratio can be defined as the connection or assessment among two numbers of the same unit to check how larger is one variety than the alternative one. as an instance, if the quantity of marks scored in a take a look at is 2 out of 5, then the ratio of marks received to the total range of marks is written as 2:5.

The ratio is the relationship or evaluation among two quantities of the identical unit to check how bigger is one variety than the alternative one. it is written as a/b or a: b in which b isn't always identical to zero. A share is an equality of ratios. Proportions are used to write down equal ratios which helps to resolve the unknown quantities. The numbers in a ratio can be quantities of any type, along with counts of people or objects, or along with measurements of lengths, weights, time, and so on. In maximum contexts, both numbers are confined to be fine.

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What is 76.78 rounded to the nearest whole number?

Answers

The answer is 77 because it is only .22 away from 77 and .78 from 76 hoped this helped
Feel free to ask anymore questions here ta brainly.com

Your answer would be 77. 78 is closer to 100 (77) than it is to 0 (76).

5n-12=3n+4 equals what

Answers

5n-12=3n+4
2n-12=4
2n=16
n=8

Take add 12 to both sides:
5n-12+12 = 3n+4+12
= 5n = 3n+16

Then take away 3n from both sides:
5n-3n = 3n+16-3n
= 2n = 16

Then divide both sides by 2
2n/2 = 16/2
= n = 8

Hope this helps! :)

what percent of 92 is 23

Answers

We can let the percentage be p%
list an equation out from the given information.
92 x p% = 23
Flip 92 into the other side, turning it into ÷92
P% = 23 / 92
= 0.25
0.25 can be transformed into percentage, by moving the decimal place 2 places to right. Therfore, 0.25 is equal to 25.0%, which is 25%
Therfore, 25% of 92 is 23

Jessica can do 60 Jumping Jacks in 2 minutes Dale can do 150 Jumping Jacks in 5 minutes are these rates equivalent and can you explain why

Answers

Yes, they are. You have to divide 60 by 2. You get 30. Now multiply 30 x 5. You get 150. They are equivalent. In need of more explaining? If so, I'm always here! :) Do you want to know why I have to do these items?

Find the percent increase for the given original and new quantities in parts a through c.
a. Original quantity: 100 New quantity: 106
b. Original quantity: 10 New quantity: 16
c. Original quantity: 50 New quantity: 56
a. Fill in the boxes to find the percent increase for the given quantities.
Amount of increase:
▼
100 minus 106100−106
106 minus 100106−100
equals=
nothing
Percent increase:
▼
100 divided by 100100÷100
100 divided by 6100÷6
106 divided by 100106÷100
100 divided by 106100÷106
6 divided by 1006÷100
equals=

nothing
equals=

nothing% increase
(Type integers or decimals.)

Answers

Answer:

Amount of Increase:

106-100= 6

Percent Increase:

6 divided by 100 , 0,06, and 6

Step-by-step explanation:

I couldnt put a division sign so i jsut but the word and yea hope that helps

Final answer:

The percent increases for the given quantities are 6%, 60%, and 12% respectively. To find these, subtract the original quantity from the new quantity to find the amount of increase, then divide this by the original quantity and multiply by 100.

Explanation:

In order to find the percent increase, you can follow this formula:

Step 1: Subtract the original quantity from the new quantity. This gives you the amount of increase.Step 2: Divide the increase by the original quantity.Step 3: Multiply result by 100 to get the percent increase.

Now, let's solve the questions :

a. Original Quantity: 100, New Quantity: 106

Amount of increase = 106 - 100 = 6

Percent increase = (6/100)*100 = 6%

b. Original Quantity: 10, New Quantity: 16

Amount of increase = 16 - 10 = 6

Percent increase = (6/10)*100 = 60%

c. Original Quantity: 50, New Quantity: 56

Amount of increase = 56 - 50 = 6

Percent increase = (6/50)*100 = 12%

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How to simplify the expression by combining like terms

Answers

-r+6+8r-14
-r -r
6+7r-14
+6 +6
7r-8

It is 7r-8 because you combine like terms

-r + 6+8r-14
You subtract r to 8r which is 7r

So now it is 7r + 6 - 14

Then you add 6 to -14 which is -8

And you get 7r -8

Addy has five times more blue marbles than red marbles. She has twice as many red marbles than green marbles. She has 6 red marbles. Which number sentence could be used to find the number of green marbles?

Answers

I would say it is B. 6 X 5 =30

So you have 6 marbles and 6 is twice as many as however many green marbles you have. The "five times more blue marbles than red marbles" is used to confused you, it's irrelevent to solving the problem. For the answer, if you use the opposite equation of multiplication, division, it'll give you the answer. I believe doing that is called inverse something, but I can't remember atm ꒪▿꒪

So I'm quite certain it's C.

how do u find the sum of 84

Answers

To solve this, you represent the the question as:

x + ( x + 1 ) + ( x + 2 ) = 84

If Jason spends 2 2/3 hours more at the camp, he will complete 7 hours of camp counseling. How many hours has he worked so far? EXPLAIN

Answers

Well, 2 2/3 is 2 hrs and 40 mins, and he needs that exact amount to have 7 hrs. So, 7hrs-2 2/3hrs = 4 1/3hrs (4 hours and ten minutes.)

The number of hours Jason has worked so far is [tex]4\frac{1}{3}[/tex] hours.

What is subtraction of fractions?

Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.

Given that, Jason spends [tex]2\frac{2}{3}[/tex] hours more at the camp, he will complete 7 hours of camp counseling.

Now, 7- [tex]2\frac{2}{3}[/tex]

= 7-8/3

= (21-8)/3

= 13/3

= [tex]4\frac{1}{3}[/tex]

Therefore, the number of hours Jason has worked so far is [tex]4\frac{1}{3}[/tex] hours.

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Rearrange formula A=r2 For r

Answers

A= r2
2 is multiplying So you have to divide it by both sides it would be
A/2= r

Hope this works!

Mr. Lewis sees a red light ahead and applies the brakes on his car. The car travels 300.5 feet before coming to a stop. For each foot the car travels during this time, its speed changes by -0.2 miles per hour. What is the total change in the car's speed during that time? ( PLEASE ANSWER AS SOON AS POSSIBLE )

A. -36.5
B. -60.1
C. -60.10
D. 36.5

Answers

multiply distance by change in speed:

300.5 feet x -0.2 mph

300.5 * -0.2 = -60.1 change in speed

how to do 8c+6j=5p solve for c and plz show how you got it

Answers

The answer is c=3j/4+5p/8 how I got I was by subtracting 6j from both sides then divide

8c + 6j = 5p

We're simply just trying to get c onto it's own side, so we must get everything onto the other side of c.

So, subtract 6j from both side.s

8c = 5p - 6j

Then, divide both sides by 8.

8c ÷ 8 = (5p - 6j) ÷ 8

Simplify.

c = 5p/8 - 6/8j

Simplify.

c = 5/8p - 3/4j → [tex]c = \frac{5}{8} p - \frac{3}{4} j[/tex]

~Hope I helped!~

Megan consumed 3.5 gallons of water in one day. How many milliliters are equal to 3.5 gallons, if 1 liter = 1,000 milliliters and 1 gallon = 3.785 liters?

A 1,324.75 milliliters
B 13,247.5 milliliters
C 132,475 milliliters
D 1,324,750 milliliters

Answers

1 gallon = 3.785 liters

3.5 * 3.785 = 13.2475 total liters

1 liter = 1000 milliliters

13.2475 * 1000 = 13,247.5 milliliters

Answer is B

Answer:

Step-by-step explanation:

hope this helped you!!

15.3+1h=1.3−1h solve for h

Answers

the answer is negative 7

the answer is -7, heres how. start by moving the 15.3 to the other side, giving you 1h= -1h-14. now add 1h to both sides so that they're isolated. 2h= -14. divide by 2. h= -7

Fran made 18 three point shots and 12 one point shots she had a total of 102 points for the basketball season how many 2 point shots did Fran make for the season? explain your answer

Answers

18 × 3 = 54

Fran made 54 three point shots for the season.

12 × 1 = 12

Fran made 12 one point shots for the season.

Add the three point shots and one point shots together:

54 + 12 = 66

Now, subtract 66 (Number of three point shots and one point shots) from 102 (Total amount of shots)

102 - 66 = 36

36 ÷ 2 = 18

So, Fran made 18 two point shots for the season (Which resulted in 36 points)

And there's your answer!

Does 4/5 equal to 2/7 if not please use < Or >

Answers

4/5 > 2/7 is the answer

God bless!

Hello there!

4/5 = 0.8
2/7 = 0.28

No they are not equal.

This < means that the number on the left side is smaller than the number on the right side.

> This means that the number on the left side is bigger than the number on the right side.

So, we should have

4/5 > 2/7 (that's the answer)

Let me know if you have questions about the answer :)

Best of luck!

What is the median of the following set of numbers? 15, 12, 18, 17, 13, 12, 12, 14, 15, 19

Answers

the answer is 14 you put the numbers in order and the middle number is the median

14 is the answer because it is in the middle of the list when put in numeric order

12, 12, 12, 13, 14, 15, 15, 17, 18, 19

Emily baked 3 batches of 13 sugar cookies each. She ate 2 of the cookies and gave 10 of them to her neighbor. In return, her neighbor gave her half of a batch of a dozen chocolate chip cookies. How many cookies does Emily have?

Answers

33 cookies is how many she has by the end.

3 times 13 = 39 minus 2 = 37 -10 equals 27 + 6 equals 33

she has 33 cookies

Pilar wanted to use estimation to solve a decimal addition problem. She correctly used estimation to rewrite the problem as 12 + 3 + 5 + 6. What could her original problem have been?

Answers

The expression 12 + 3 + 5 + 6 is rewrite as 26. The original problem will be 26.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Pilar wanted to use estimation to solve a decimal addition problem.

She correctly used estimation to rewrite the problem as 12 + 3 + 5 + 6.

Then the original problem will be

⇒ 12 + 3 + 5 + 6

⇒ 26

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1000 points! What is the equation of this line? please put a real answer and explain how you got the answer,answers like it looks like an agg, i small like farts etc. will be reported, im really VERY sorry. thankyou :D

Answers

The slope is 4/11 y-intercept is -52/11
y = 4/11x + -52/11

Answer:

The slope is 4/11 y-intercept is -52/11

y = 4/11x + -52/11

Step-by-step explanation:

a block of gold with a mass of 4,830 kilograms has a volume of 0.25 cubic meters. what is the density of the gold?

Answers

Density = mass / volume
Density = 4,830 / 0.25
Density = 19,320 kg/m

If the volume of a chunk of gold with a mass of 4,830 kg is 0.25 cubic meters. The gold will have a density of 19,320 kg/m.

What is density?

It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter. While volume is a three-dimensional space enclosed by an object or thing.

It is given that, a block of gold with a mass of 4,830 kilograms has a volume of 0.25 cubic meters.

We have to find the density of the gold.

Density = mass/volume

Density = 4,830 / 0.25

Density = 19,320 kg/m

Thus, if the volume of a chunk of gold with a mass of 4,830 kg is 0.25 cubic meters. The gold will have a density of 19,320 kg/m.

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whats the equivalent expressions by conbining like terms 5a+ 4+ 2a

Answers

7a+4, when combining like terms simply add together the things that look alike

If you add 5a and 2a you get 7a then you are left with 4. Meaning, your answer would be 7a+4. Since 4 doesnt have a variable, you dont add it to 7a.

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