Select the correct answer. Consider this absolute value function. f(x)= |x-5| How can function f be written as a piecewise function?

(multiple choice)

Select The Correct Answer. Consider This Absolute Value Function. F(x)= |x-5| How Can Function F Be Written

Answers

Answer 1

Answer:

Option A.

Step-by-step explanation:

An absolute value function can be written in two ways, as the absolute value sign does not allow negative values.

[tex]|x-5|=x-5[/tex]

or

[tex]|x-5|=-(x-5)=-x+5[/tex]

The only options with these equations are A. and D.

D. can be eliminated as the inequalities given for the piecewise function do not match f(x)

To see it visually, you can try graphing it on a calculator or internet graphing service.


Related Questions

Algebra! Question 18!!!!

Answers

Answer is c step by step

Ari lives 4/5 of a mile from the park she has already walked 3/4 of the way to the park. How far has ari walked

Answers

3/4 of 4/5 = 3/4 x 4/5 = 12/20 = 3/5 of a mile (= 1056 yards)

What is 3(x-6)+12=6(x+1)-3x show your work.

Answers

Answer:

No solution.

Step-by-step explanation:

3(x - 6) + 12 = 6(x + 1) - 3x

3x - 18 + 12 = 6x + 6 - 3x

3x - 6 = 3x +6

-6 = 6

-6 ≠ 6

Point W is on line segment V X. Given VX = 18 and VW = 14 determine the length W X

Answers

Answer: WX = 4

Concept:

Here, we need to know the idea of 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

VX = 18

VW = 14

Given expression deducted from the segment addition postulate

WX = VX - VW

Substitute values into the expression

WX = 18 - 14

Simplify by subtraction

WX = 4

Hope this helps!! :)

Please let me know if you have any questions

Write in mathematical expression and simplify "5 tiems the sum of 12 and 8".​

Answers

Step-by-step explanation:

5(12+8)...

if my answer helps you than mark me as brainliest.

2. What is the additive inverse of -7? (1 point) 0-7 07 O-1-7 O-(-(-7)​

Answers

Answer:

for additive inverse you change the sign of the given number so i think its 7

Step-by-step explanation:

The midpoint of the line segment with the coordinates (-2, -10) and (-3, 8) is _

Answers

Answer:

[tex](\frac{-5}{2} ,-1)[/tex]

Step-by-step explanation:

(-2 + -3)/2 , (-10+8)/2

-5/2,-1

How many meters does a runner cross in a circular runway with radious of 100 meters [R=3, 14]​

Answers

diameter = 2 * radius = 200m

circumference (length of the outside of the circle = diameter * pi = 200 * 3.14

= 628m

The measure of an angle is 87°. What is the measure of its supplementary angle?

Answers

Answer:

180-87 = 93

Step-by-step explanation:

supplementary angles add up to 180°

so (the other angle + 87)=180°

other angle =180-87=93°

Answer:

93 degrees

Step-by-step explanation:

Supplementary angles add up to 180 degrees. Therefore, the equation for finding the supplementary angle to 87 would be:

[tex]87 + x = 180\\x=180-87\\x=93[/tex]

Have a nice day. Feel free to ask questions. Spread the love.

Solve the inequality. Graph the solution - 30 points

Answers

[tex]\\ \rm\Rrightarrow 26+6b\geqslant 2(3b+4)[/tex]

[tex]\\ \rm\Rrightarrow 26+6b\geqslant 6b+8[/tex]

[tex]\\ \rm\Rrightarrow 6b-6b\geqslant 8-26[/tex]

[tex]\\ \rm\Rrightarrow 0\geqslant -14[/tex]

Hence

It has no solutions

Answer:

A. All Real Numbers

Step-by-step explanation:

26 + 6b ≥ 2(3b + 4)

~Simplify

26 + 6b ≥ 6b + 8

~Subtract 26 to both sides

6b ≥ 6b - 18

~Subtract 6b to both sides

0 ≥ -18

Best of Luck!

The GCF of two numbers is 3.

Their LCM of the two numbers is less than 20.

Which could not be the two numbers?

Answers

Answer:

Step-by-step explanation:

Let say a and b the 2 natural integers with 0 < a< b.

Since a*b=GCF(a,b)*LCM(a,b)

a*b < 3*20=60

[tex]\begin{array}{c|c|c|c|c|c}a&b&a*b&GCF&LCM&GCF*LCM\\---&---&---&---&---&---\\3&6&18&3&6&18\\3&9&27&3&9&27\\3&12&36&3&12&36\\3&15&45&3&15&45\\3&18&54&3&18&54\\6&9&54&3&18&54\\---&---&---&---&---&---\\\end {array}[/tex]

PLEASE HELP COMPARING RATIOS

Answers

Answer:

8 minutes per customer in Restaurant One.

6 minutes per customer in Restaurant Two.

7 minutes per customer in Restaurant Three.

Restaurant Two had the fastest service.

Method:

I divided the time it took – for example – 48 divided by 6. I would do this because I wanted to find out each person took (6 people), and the amount of time it took for each person to get their food. I would use division for this problem because I am finding how much each person took out of the whole time.

Answer

The 2nd restaurant is the fastest

Step-by-step explanation:

I. Compare Time per Customers

     When 1st restuarant = 48/6 = 9

                2nd restuarant = 42/7 = 6

                3rd restuarant = 63/9 = 7

Given if in 1 min, I can serve 20 customers = 1/20 = 0.05

             in 1 min, He can serve 10 customers = 1/10 = 0.1

      See the different? I can serve better than him.

So The answer is the 2nd restuarant.

Hope that help :D

Write an equation in slope-intercept form of a line that passes through the point (-4,9) and has a slope of 1/2.

Answers

Answer:

y = 1/2x + 11

Step-by-step explanation:

y = 1/2x + b

9 = 1/2(-4) + b

9 = -2 + b

b = 11

please help with me #15 and #16

Answers

Answer:

just solve equation and you will get to know that

15 is d becoz both 8 gets cancelled

and

16 is b becoz then equation is simplified to x = smthng

fraction into the statement 1:50000​

Answers

Answer:

am I supposed to change this to a statement like a sentence then one is to fifty thousand

Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.
1.Write the linear equation that models the equation?
2.What is the cost per T-shirt?
3.What is the standard shipping and handling bag?

Answers

Step-by-step explanation:

Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.

Then we have to writer a linear equation, for which I got: y-27/4x+25. We also had to find the cost per t-shirt, for which I got: $31.75. The last part I don't understand, however: fidn the shipping and handling charge.

The second word problem is:

It costs Consolidated Cereals Corporation $1050 to produce 100 boxes of corn flakes and $1250 to produce 500 boxes. I found the cost function: c(x)=1/2x+1000 but don't know how to determine the fixed cost and the variable cost per box (mainly because I have no idea what those are.)

Cost= m x+b

x is the cost per shirt, b is the handling charge

295=40m+b

565=80m+b

subtract the first equation from the second:

370=40x solve for m, the cost of each shirt. Then solve for b, put all that into y= mx+b

One the second question,

Cost= variable cost * n + Fixedcosts or

cost= n*v+F

1250=500v+f

1050=100v+f

subtract the second equation from the first

200=400v solve for v, and it is 1/2 dollar. Solve for f, the fixed cost, and it looks as if it is 1000 dollars.

Please help quick I still can’t figure it out

Answers

Step-by-step explanation:

3+21+7+3+21+7

-9(1 - 10n) - 2(3n + 9)

Answers

Step-by-step explanation:

-9(1-10n)-2(3n+9)

-9+90n-6n-18

-9-18+90n-6n

-27+84n

3(-9+28n)

1. the the sum of certain number and 63 is 88. what is the number?​

Answers

Answer:

25 (88-63=25)

Step-by-step explanation:

As I write this Reiner is standing at my side. He knows this is a love letter but he’s still sneaking glances. Honestly it’s no wonder the creep is still single.

That said, he did give me his word that he’d deliver this letter to you. He says he owes me for the time I doubled back to save him.

I’m sorry about that. I never would have imagined myself choosing those two over you.

I’m gonna die soon,

but I’ll die without regrets.

Or that’s what I’d like to say.

Truth is, I do have one.

It's that I never got to marry you...

With love, Ymir.

just subtract them

88 - 63 = 25

thus, the number would be 25

hope this helps :)

is 16 a natural, whole, integer, rational or irrational number?

Answers

Answer:

16 is a natural, whole and integer

Step-by-step explanation:

16 is a natural, whole and integer

it is not rational or irrational because

rational numbers are written in p/q as well as irrational

natural numbers start from 1 till infinite

whole numbers start from 0 to infinite

integers include all the positive and negative numbers

simplify 2 root 3 + 3 root 3 - 4 root 3​

Answers

Answer:

√ 3

Step-by-step explanation:

2√3 + 3√ 3 - 4√ 3

5√3 - 4√ 3

1√3

=> √ 3

Answer:

→ 2√3 + 3√3 - 4√3

= (2+3-4)√3

= (5-4)√3

= √3

Therefore, √3 is the right answer.

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs ​$77. A season ski pass costs ​$450. The skier would have to rent skis with either pass for ​$20 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily​ passes?

Answers

Answer:

5

Step-by-step explanation:

Given:

Daily pass = $77Season ski pass = $450Skis = 20

77 + 20 = 97

450 + 20 = 470

Keep multiplying 97 with random numbers until it passes 470.

97 × 4 = 388

97 × 5 = 485

So, the skier will have to pay daily passes 5 times to be more expensive than the season pass.

Hope this helped.

The side of a cube is 3^4 centimeters long. What is the volume of the cube?​

Answers

Step-by-step explanation:

v=s^3 s=3^4=81

v=(81)^3

v=531,441 cm^3

What is (x)
9.4x+17.5

Answers

Answer: x=1.8617                                                                                                                                                                

Step-by-step explanation: 9.4x+17.5                                                                     9.4x/9.4=17.5/9.4                                                                                                     x=1.8617                                                                                                                                                                  

step by step

6x+1<9-2x

2x-1 less than or equal to 5x+20

3-(2x-7) less than or equal to 34-6x

Answers

Answer:

6x+1<9-2x

6x+2x<9-1

8x<8

x<1

2x-1 ≤ 5x+20

2x-5x≤20+1

-3x≤21

x≥-7

3-(2x-7) ≤ 34-6x

3-2x+7 ≤ 34-6x

-2x+6x ≤ 34-3-7

4x ≤ 24

x ≤ 6

Parallel lines j and k are cut by transvesal t . Which statement is true about ∠2 and ∠6

Answers

Answer:

angle 1 and angle 7 are alternate exterior angles.

angle 1 and angle 5 are corresponding angles.

angle 3 and angle 8 are same side interior angles.

angle 2 and angle 8 are alternate interior angles.

Step-by-step explanation:

The period of a compound pendulum is given by T=2π√(h²+k²/gh) express k in terms of T,h and g​

Answers

Answer:

qss-qvcj-kwr join guys iam bored

Determine the supplement of each angle measure.
63°

Answers

Answer:

117 is the answer of your questions

Step-by-step explanation:

supplement=180

given angle=63

180-63=117

helpppppppppppppppppppppppppppp

Answers

Answer:

c. {1/15,16,1/17,18}

Step-by-step explanation:

please follow me

Answer:

[tex]{ \sf{set \:A \: and \: B }}[/tex]

what is the answer to 90π + 2π(7.5)2

Answers

Answer:

635.75

Step-by-step explanation:

90π + 2π(7.5)²

~Simplify

90π + 2π(56.25)

~Multiply

282.5 + 2(176.625)

~Simplify

282.5 + 353.25

635.75

All this was simplified using PEMDAS.

Best of Luck!

Other Questions
How can get a cup stain off my Chromebook top? Like I tried everything. And I start school on the 1st of September. Plz help me 2. Discounts - You go to the store the next day and the $28.62 shirt is on sale for 15%off, how much is the shirt before tax? kiara starts with k marbles iin her collection. she loses 16 It / started / rain/we/buy/umbrella. Which of these words is an example of sensory language related to sight A. Bitter B. Loud C. Bright D. Rank What is the relationship between the number of sides in a regular polygon andnumber of lines of symmetry? To pay for a 15,300 car, Tony made a down payment of $3900 and took out a loan for the rest. On the loan , he paid monthly payment payment of $252.34 for 4 years. (1/5) evaluate pls help :) The nursing assistant has provided some alcohol swabs for the mother of an infant to use on her baby's umbilical cord stump after diaper changes. What is the purpose of cleansing the stump with alcohol or a similar product 1-16 Please helppppp Which phrase from the passage is an example of indirect characterization?I lazily flipped through the pages of my textbook and yawned. Too bad I cant be more like my brother, I thought. He is very studious and a bit of a perfectionist, and hes always anxious to learn new things. Its hard to believe that anyone can be that focused. But me? Well, thats a different story. I am much more likely to spend my time daydreaming.1. a bit of a perfectionist2. anxious to learn new things3. can be that focused4. spend my time daydreaming Drag the numbers below to put them in order from least to greatest:2.22.291 2.27% 2.14 2.26 2.221Wats the answer? how did black codes restrict tge freedom of freemen? Which statement best describes the relationship between the two figures? find the distance between each pair of points (-1,4) and (1,-1) I need help. ILL MARK YOU BRAINLEST The area of this shape is 24 square units. Which of these statements is true about the area ? You are building a birdhouse when you cut your finger. Predict which body systems would be immediately involved with yourreaction to the cut. I NEED HELP AS FAST AS POSSIBLEWhich of the following New Mexican groups has a slightly above-average population bypercentage as compared to the entire United States? Combine Like Terms4. Which expression is equivalent to -9 + 8y + 12 - (-2y) + 1 ?14y10y4+6y10y+4