Mathematics High School

rewrite without absolute value for the given conditions:
y=|x-3|+|x+2|-|x-5|, if x>5

Answers

Answer 1

Answer:

  y = x + 4

Step-by-step explanation:

Since x > 5, x-3 > 0, x + 2 > 0 and x - 5 > 0

So Ix - 3I = x - 3,   Ix + 2I = x + 2   and x - 5 = x - 5

Therefore, y = x - 3 + x + 2 - x + 5

                  y = x + 4

Answer 2

Answer:

Step-by-step explanation:

It might interest you to know what this question means without the restriction. See graph 36b. This shows exactly what happens to the absolute value. There are all sorts of turns and twists in it. Notice all the changes in direction and the minimum at -2,-2. The y intercept is at 0,0.

0,0 is also one of the x intercepts as well. The other is -4,0. The whole point of showing you this is to make you aware of what the restriction does.

The graph is reduced to a line starting at (5,9)

Rewrite Without Absolute Value For The Given Conditions: Y=|x-3|+|x+2|-|x-5|, If X>5
Rewrite Without Absolute Value For The Given Conditions: Y=|x-3|+|x+2|-|x-5|, If X>5

Related Questions

The model is shaded to represent the remaining one-half of a cake. Three friends will
each receive an equal amount of the remaining cake until it is all gone.
Cake
Which equation can be used to determine the fraction of the whole cake each friend
will receive?

Answers

Answer:

jsjshshshhsgdhshdhdhddhshggzggzgzhshsggggghzhgzgzgdgxgshdhdhgd

Step-by-step explanation:

h

Answer:

h

Step-by-step explanation:

anyone help giving 5 stars

Answers

Answer:

! !

' .

.

.

, . <3

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URGENT I copy and pasted and clicked the link that is going around and I was redirected however I did not download the file can someone give me answers on what will happen to my computer?

Answers

Answer: A virus or trojan will appear because my cousin actually click on the link and downloaded it and it damaged her device so don't download it those are bots who tell you to click the file or something so don't download it or your computer will be damaged

Step-by-step explanation:


P(q) = -0.01(q - 250)(- 80)
The equation above gives the profit, P(q), in dollars, earned by a cupcake bakery when q
cupcakes are produced. What is the best interpretation of the number 80 in this context?
80 is a number of cupcakes for which the profit is equal to $0.
B
80 is the number of cupcakes that corresponds to the maximum profit.
80 is the number of cupcakes that corresponds to the minimum profit.
880 is the maximum profit, in dollars.

Answers

Answer: 80 is the number of cupcakes for which the profit is equal to 0

Step-by-step explanation:

The best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.

What is Profit?

Profit is the amount which we earned after selling something at a price more than its cost price.

We have,

P(q) = -0.01 (q - 250) (q- 80)

Where,

P(q) = profit earned by a cupcake bakery  in dollars

q = cupcakes produced

So,

Now,

We have to find out the context of 80 in given equation,

So,

Lets substitute q = 80, in the given equation,

i.e.

P(q) = -0.01 (q - 250) (q- 80)

⇒

P(80) = -0.01 (80 - 250) (80- 80)

We get,

P(80) =  -0.01 (- 170) (0)

i.e.

P(80) = 0

So, 80 is a number of cupcakes for which the profit is equal to $0.

Hence, we can say that the best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.

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Write an equation in slope-intercept form for a line with a slope of -2 that goes through the point (-5,6). show steps?

Answers

Answer:

y=-2x-4

Step-by-step explanation:

y-y1=m(x-x1)

y-6=-2(x-(-5))

y-6=-2(x+5)

y=-2x-10+6

y=-2x-4

what is ratio?
what is rote?
write each of ffg ratio in its simplest form . first make the units the same in each case

a)90 sec to 7min
b)48min to 3hours
c)2,5 days to 80hours
d)3 800mm to 3m
e)2,5 to 7am
f)5 300m to 2,5km​

Answers

Answer:

a) 3 : 14

b) 4 : 15

c) 3: 4

d) 19 : 15

e) 53 : 25

Step-by-step explanation:

a)90 sec to 7min

We convert 7 mins to seconds

1 minute = 60 seconds

7 minutes = x seconds

Cross Multiply

x = 7 × 60 seconds = 420 seconds

Hence,

Our ratio is

90 seconds : 420 seconds

Divide both sit by 30

= 3 : 14

b)48min to 3hours

We convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x minutes

Cross Multiply

x = 3 × 60 minutes = 180 minutes

Hence,

Our ratio is

48 minutes : 180 minutes

Divide both sides by 12

4 : 15

c)2.5 days to 80hours.

We are converting 2.5 days to hours

1 day = 24 hours

2.5 days = x

Cross Multiply

x = 2.5 × 24 hours = 60 hours

Hence,our ratio

60 hours : 80 hours

Divide both sides by 20

3: 4

d)3 800mm to 3m

We convert 3 m to mm

1 m = 1000 mm

3 m = x mm

Cross Multiply

x mm = 3 × 1000 mm

x mm = 3000mm

Hence, ratio is

3800 mm : 3000mm

Divide both sides by 200

19 : 15

e)5300m to 2.5km​

We convert km to m

1 km = 1000 m

2.5 km = x m

Cross Multiply

x m = 2.5 × 1000m

x = 2500m

Hence, our ratio

5300m : 2500m

Divide both sides by 100

53 : 25

9) Is 0 a solution to 3x + 8 = 5x + 8? Explain or show your reasoning .​

Answers

Answer:

x=0, yes.

Step-by-step explanation:

3x+8=5x+8

5x-3x+8=8

2x+8=8

2x=8-8

2x=0

x=0/2

x=0

Answer: yes

Explanation: To decide whether 0 is a solution for

this equation, we can simply plug a 0 in for x.

If the statement holds true, then 0 is a solution.

Plugging in 0 for x, we have 3(0) + 8 = 5(0) + 8.

Now since anything times 0 is 0, we have 8 = 8.

Since 8 = 8 is a true statement, 0 is a solution.

If Jonathan paid $32.70 for 5 soccer balls,how much did he pay for each ball ​

Answers

Answer:

He paid $6.54 for each ball

14, 28, 56, 112
 what is the common ratio

Answers

Answer:

2

Step-by-step explanation:

You can find the common ratio by dividing each number in the sequence from the number before it so,

28/14= 2

56/28= 2

112/56= 2

Therefore, the common ratio is 2

Find the area of the trapezoid !! Help pls!

Answers

Answer:

The area would be 80

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Answers

Oh what the heck UHHHHH

Answer:

wow that is so cool how do you do that

Step-by-step explanation:

I need help please !!!!!!!!

Answers

Factor using the perfect square rule.

( 5 x  −  1 ) ^2

See photo hope it helps

AYUDAAAAAAAAAAAAAAAAAAAAA
si la medida de un angulo es tres veces la medida de su suplemento cual es la medida del angulo

Answers

Answer:

El ángulo lo representaremos por A

Su suplemento es 180-A

A=3(180-A)

A=540-3A

3A+A=540

4A=540

A=540/4

A=135°

Step-by-step explanation:

135=3(180-135)

135=3(45)

135=135

The measure of the angle is 135 degrees when the measure of an angle is three times the measure of its supplement.

Let's denote the measure of the angle as x.

The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. So, the measure of the supplement of the angle is 180 - x.

According to the given information, the measure of the angle is three times the measure of its supplement. Mathematically, we can express this as:

x = 3( 180 - x )

Now, let's solve this equation to find the measure of the angle:

x = 3( 180 - x )

x = 540 - 3x

4x = 540

x = 540 / 4

x = 135

Therefore, the measure of the angle is 135 degrees.

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The question is in Spanish question in English is :

If the measure of an angle is three times the measure of its supplement, what is the measure of the angle?

Can someone help me find the measure of each angle in the diagram?

Answers

Answer:

we cant read the numbers cuz theyre too small

The scatter plot and line of best fit below show the length of 7 people's femur (the
long leg bone in the thigh) and their height in centimeters. What is the meaning of
the y-value on the line when x = 40?

Answers

Answer:

An expected height of 160.6 centimeters when the femur has a length of 40 centimeters.

Step-by-step explanation:

The line of best fit makes a prediction. In other words, it tells us what height to expect for any given femur length.

x represents femur length and y represents height, so the y-value on the line when x=40x is the expected height when the femur length is 40 cm.

Using the Regression model given, the meaning of the expression is " the expected height of the individual with a femur length of 40 would be about 160 cm

The regression model compares the relationship between the independent and dependent variable. Here, Femur length and height

The height of the individual with a femur length of 40 cm would be about 160cm.

Hence, the expected height of the individual with a femur length of 40 would be about 160 cm.

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Since Jordyn and Teri have fewer rolls of kite string, they decide to tie their string together so their kite can fly higher. Write at least two expressions to show how much kite string Jordyn and Teri have. Let x represent the number of yards of string on one roll.

Answers

Question:

Jordyn, Teri, and Morgan are going to have a kite-flying contest. Jordyn and Teri each have one roll of kite string. They also each have 45 yards of extra string. Morgan has three rolls of kite string plus 10 yards of extra string. All the rolls of string are the same length. The girls want to see who can fly their kite the highest.

Since Jordyn and Teri have fewer rolls of kite string, they decide to tie their string together, so their kite can fly higher. Write at least two expressions to show how much kite string Jordyn and Teri have. Let x represent the number of yards of string on one roll.

Answer:

[tex]y=x +45[/tex]

[tex]y = 45 + x[/tex]

Step-by-step explanation:

From the complete question, we have:

Jordyn & Teri

[tex]Rolls = 1[/tex]

[tex]Extra = 45\ yd[/tex]

Morgan

[tex]Rolls = 3[/tex]

[tex]Extra= 10\ yd[/tex]

Required

Expression for Jordyn and Morgan

Let the total kite by Jordyn and Teri be represented with y

This is calculated as:

[tex]y = Rolls + Extra\ Yard[/tex]

This gives:

[tex]y = 1\ roll + 45yd[/tex]

1 roll is represented with x.

So:

[tex]y=1x +45[/tex]

[tex]y=x +45[/tex]

This can be rewritten as:

[tex]y = 45 + x[/tex]

help please im so bad at these

Answers

Answer:

i'm not sure if this is right, but this is what i got from a calculator. steps are shown in the pictures.

Step-by-step explanation:

Question 1
What is the median for the following data set?
(25, 12, 13, 22, 14, 11, 16, 28, 31)
A:16
B:11
C:14


Answers

Answer: The answer I got was A) 16

Step-by-step explanation:

Hope this helps!!!!

A salesperson earns a base salary of $32,500 per year plus a commission of 8% on total sales. Her total sales for one year were $450,000. Find the salesperson's total pay for the year.

Answers

The salesperson's total pay for the year is $68500

How to determine the total pay?

The given parameters are:

Base pay = $32,500

Commission = 8%

Total Sales = $450,000

The total pay is calculated as:

Total = Base pay + Commission * Total Sales

This gives

Total = $32,500 + 8% * $450,000

Evaluate

Total = $68500

Hence, the salesperson's total pay for the year is $68500

Read more about commission at:

https://brainly.com/question/21684918

#SPJ1

The distance from the center of a circular tent to the tent’s edge is 30 feet. Janet walked around the edge of the tent twice and then straight to the center of the tent. About how far did Janet walk?

Answers

I would say 90 but I could be wrong because if the tents edge is 30 feet and she walks at the edge twice it would be 60 but when she go back wouldn’t that be the same distance so 90.

Correct me if I’m wrong

If 12 gallons of gas cost 37.50, how much would 16.5 gallons cost ? Which proportion could be used to solve this problem?

Answers

Answer:

$51.56

Step-by-step explanation:

Given data

We are given that

12 gallons of gas cost $37.50

Required

The cost of 16.5 gallons

If 12 gallons of gas cost 37.50

then 16.5 gallons will cost x

cross multiply

12x= 16.5*37.5

12x= 618.75

x= 618.75/12

x= $51.56

Hence 16.5 gallons will cost $51.56

What is the value of this expression? 44−{(6+8)÷2}×3

14

23

69

111

Answers

Answer:

23

Step-by-step explanation:

First, open the brackets.

44 - (14/2) x 3

44 - 7 x 3

44 - 21

23

The two rectangles are similar. What is
the length of x?

Answers

Answer:

x = 5

Step-by-step explanation:

The two rectangles are similar. What is

the length of x?

For the bigger rectangle

Length = 5

Width = 5

For the smaller rectangle

Length = x

Width = 5

We find x using Proportion

Width/Length

= 5/5 = 5/x

Cross Multiply

5x = 5 × 5

x = 25/5

x = 5

A square has a perimeter of 28
inches. Another square has a
perimeter of 20 inches. What
is the difference of their
areas?

Answers

Answer:

24

Step-by-step explanation:

To find the side length of a square, you have to divide the perimeter by 4 (since a square has 4 sides). 28 divided by 4 is 7 and 20 divided by 4 is 5. to find the area of each square, you have to multiply each side length by two. 7 times 7 is 49 and 5 times 5 is 25. 49 minus 25 is 24.

Do the ratios 6:4 and 4:3 form a proportion

Answers

Answer:

no

Step-by-step explanation:

Please help thank you.

Answers

Answer:

IM LOST!!!!

Step-by-step explanation: IM LOST!!!!

$12.00 + $ 10.00 =
what is it

Answers

Answer:

22 bucks duh

Step-by-step explanation:

I need help pleaseeeeeeeeee

Answers

Answer:

D

Step-by-step explanation:

Answer: ba

Step-by-step explanation:

Given in the figure below, find the values of X and Z.

Answers

Answer:

x = 6 , z = 79

Step-by-step explanation:

(8x + 53) and (6x + 43) are adjacent angles and sum to 180° , that is

8x + 53 + 6x + 43 = 180 , that is

14x + 96 = 180 ( subtract 96 from both sides )

14x = 84 (divide both sides by 14 )

x = 6

Then

6x + 43 = 6(6) + 43 = 36 + 43 = 79

z and 79 are vertical angles and congruent , then

z = 79

Answer:

x = 6

z = 79

Step-by-step explanation:

We know that angles on a straight line add up to 180.

With this in mind:

(6x+43)° + (8x+53)° = 180hence 14x+96=18014x=84x=6

For z:

since x = 6(8x+53)° + z° = 180101 + z = 180z = 79

Another approach using the property where opposite angles are equal:

(6x+43) = z79 = z

a charm on a lucy's bracelet had the dimensions shown what is the area of the charm​

Answers

Answer:

13

Step-by-step explanation:

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