Write the absolute value in the form |x-b|=c (where b is a number and c can be wither a number or and expression) that has the following solution set.

Two solutions: x=-2, x=-32

Answers

Answer 1

Answer:

  |x +17| = 15

Step-by-step explanation:

The values that go into your absolute value equation template can be found by solving the template equation, then matching results to the desired solution values.

  |x -b| = c

resolves to ...

  x -b = c . . . . for x -b > 0

  x = b+c

and

  -(x -b) = c . . . for x -b < 0

  x = b -c . . . . . solve for x

__

The value of c must be positive, so the value b+c will be the most positive solution:

  -2 = b +c . . . . . the most positive solution

  -32 = b -c . . . . the most negative solution

Adding these equations gives ...

  2b = -34   ⇒   b = -17

  c = -2 -b . . . . from the first equation

  c = -2 -(-17) = 15

Putting the found values b=-17, c=15 into the absolute value equation template gives ...

  |x +17| = 15

Write The Absolute Value In The Form |x-b|=c (where B Is A Number And C Can Be Wither A Number Or And

Related Questions

747 is what percent of 384? Round to the nearest thousandth.

Answers

Answer:

1.9453125 = 1.945

Step-by-step explanation:

Divide 747 by 384

Answer is 1.9453125

Look at the number to the right of the thousandths place.  

Its 3.

3 is less than 5

drop the 3 and all numbers after.

In percentage it is 194.5 percent

You toss a fair coin 5 times. What is the probability of at least one head? Round to the nearest ten-thousandth.

Answers

Answer:

(B) 0.9688

Step-by-step explanation:

mark me brainliest!!

Question 1 of 10
A deck of cards contains 52 different cards. A card is drawn at random. What
is the probability that the card drawn is a queen?
A. 0.67
B. 0.04
C. 0.52
D. 0.077
SUBMIT

Answers

Answer:

D

Step-by-step explanation:

There are 4 queens out of 52 cards in a deck. Therefore, if each card has the same probability of getting chosen, you have a 4/52 = 0.077 chance of drawing a queen because there are (4 favorable outcomes/queens) / (52 total outcomes)

If the subjective probability that it will rain is 45%, what is the probability that it will not rain

Answers

Answer:

There is a 55% chance that it won't rain.

While at summer camp, Mike asked a random camper from each of the 12 cabins how many siblings he or she had. The results below display the responses.

3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1

If there are 48 campers altogether, use Mike’s data to infer the mean of the population. What is the mean number of siblings for the population rounded to the nearest unit?

1 sibling
2 siblings
3 siblings
4 siblings

Answers

B / 2 siblings

Step-by-step explanation:

edge 22 , hope it helped

The mean number of siblings for the population rounded to the nearest unit is 2.

What is mean?

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Gien data is:-

3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1

The mean will be calculated as:-

Mean = ( 3 + 2 + 0 + 1 + 0 + 2 + 3 + 4 + 1 + 2 + 2 + 1 ) / 12

Mean  = 21  /  12

Mean = 1.75

Mean = 2

Therefore the mean number of siblings for the population rounded to the nearest unit is 2.

To know more about mean follow

https://brainly.com/question/968894

#SPJ2

At a cost of $8 per pound, how many ounces of rice flour can be bought for $3.35?

Answers

Answer:

$41 cents

Step-by-step explanation:

$8 divided by $3.35 equals $0.41 cents

Among fatal plane crashes that occurred during the past 65 years, 486 were due to pilot error, 52 were due to other human error, 497 were due to weather, 274 were
due to mechanical problems, and 395 were due to sabotage.

Answers

Answer:

what is the question?

Step-by-step explanation:

Justin is 10 years older than Maggie. Four years ago, Justin was three times as old as Maggie. Find Justin’s age now.

Answers

Solution:

Note that:

J = 10 + MJ - 4 = 3(M - 4)

Finding Maggie's age:

J - 4 = 3(M - 4)=> J - 4 = 3M - 12=> M + 10 - 4 = 3M - 12=> M + 6 = 3M - 12=> 12 + 6 = 3M - M=> 18 = 2M=> M = 9

Finding Justin's age:

J = 10 + M=> J = 10 + 9=> J = 19

Let Justin's age be x

Let Maggie's age be y

ATQ,

[tex] \pmb {x = 10 + y} \\ \pmb{x-4=3(y-4)}[/tex]

Solve using the substitution method!!

In this way the equation will be easier to solve because we will get the value of both x and y together...

[tex] \pmb{10 + y - 4 = 3(y - 4)}[/tex]

[tex] \sf 6 + y = 3y - 12[/tex]

[tex] \sf y - 3y =- 12 - 6[/tex]

[tex] \sf - 2y =- 18 [/tex]

[tex] \sf y =9[/tex]

Substitute the value of y into the first equation

[tex] \pmb{x= 10 + y} \\ \pmb{x = 10 + 9} \\ \pmb{x = 19}[/tex]

Thus, Maggie's age is 9 and Justin's age is 19...~

Start time? Elapsed time 9 3/4 end time 6:00pm

Answers

Answer:

3/4 is 45 min, cause a quarter of an hour is 15 min. 6-9=-3 so you basically do Noon subtracted by another 3 hours which is 9am , then subtract those 45 min.

6pm - 6hours = 12pm

(Noon) 12 pm - 3 hours =9 am, then 45 min

9am - 45 min

8:15 am

What is the answer please i will mark at brainiest

Answers

Step-by-step explanation:

In the given figure,

Base(b)= 6cm

Height (h)= 8 cm

We know that,

[tex]area \: of \: a \: triangle \\ = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times 6 \times 8 \\ = \frac{48}{2} \\ = 24 \: cm ^{2} [/tex]

Hence, the are of the given figure is 24 cm².


Find the length of the line segment whose endpoints are (-8,7) and
(6,4).

Answers

[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]

[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Endpoints \:of \: line \: segment \:are \:(-8,7) [/tex]

[tex]\sf and \:(6,4) [/tex]

[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]

[tex]\orange{\leadsto}\:[/tex][tex]\textsf{Length of the line} [/tex][tex]\sf [/tex]

[tex]\\[/tex]

[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]

>>Let us consider these points on a line segment AB such that point A and B lies on opposite ends

[tex] \\A( - 8,7) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: B(6,4)\\ \bull \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{} \bull \\[/tex]

We will find distance between points by distance formula-

[tex]\red{\underline{\boxed{\sf{Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}}}[/tex]

Here-

[tex]\sf x_2 = 6[/tex][tex]\sf x_1 = -8[/tex][tex]\sf y_2 = 4[/tex][tex]\sf y_1 = 7[/tex]

Putting Values:-

[tex]\begin{gathered}\\\longrightarrow\quad \sf AB = \sqrt{(6 - (-8)) ^{2} + (4-7) ^{2} } \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{(6+8)^2 + (-3)^2} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{14^2+ (-3)^2 } \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{196+ 9 } \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{205} \\\end{gathered} [/tex]

[tex]\longrightarrow \sf length \:of \: the \: line \:segment \:whose \: \: [/tex]

[tex]\sf endpoints \;are \: (-8,7) \:and \:(6,4) \:is \: \sqrt{205} \;units [/tex]

Numbers that are greater than -2 and less than 3. Pls help

Answers

The numbers have to be between -2 and 3, so:
Greater than -2 are, -1, 0, 1, and 2. Those are all the numbers that are greater than 02 but less than 3.

-1, 0, 1, and 2.

(I apologize if this is incorrect).

Answer:

The numbers that are greater than - 2 qnd less than 3 are:

-1,0,1&2

What is the product of 4 x 2/3

Answers

Answer:

Step-by-step explanation:

Remark

A good thing to understand is that when a whole number and a fraction are multiplied, the method is the same as multiplying 2 fractions. What that means is make the whole number into the numerator of a fraction and put a 1 where the denominator should be.

Solution

4/1 * 2/3 = 4*2 / 1 * 3 = 8/3

A potter makes 6 bowls in 3 hours.
How long would it take the potter to
make 14 bowls?

Answers

answer 7.5 I hope was not too late

What is the median of the following data set?

12, 25, 9, 2, 0, 8​

Answers

Answer:

9

Step-by-step explanation:

A 15-year bond with a 5.5% coupon and a $1,000 par value is currently priced at $940.
a. If the current market interest rate is 6.5%. Should you buy the bond? Why or why not?
b. Assuming you buy and hold this bond for 5 years. What price must you sell the bond for if you
want to earn a 7% rate of return on this investment?

Answers

A) If the current market interest rate is 6.5%, you should not buy the bond because the present value of the bond is $905.97, which is less than the current price of $940.

B) Assuming you buy and hold this bond for 5 years, the price you must sell the bond to earn a 7% rate of return on this investment is $938.50.

How is the price of bonds determined?

The price of a bond can be determined by calculating the present value of the cash flows till maturity through discounting.

The present value can be computed using the present value formula or table.  It can also be determined using an online finance calculator as follows:

Data and Calculations:

a. If the current market interest rate is 6.5%. Should you buy the bond? Why or why not?

N (# of periods) = 15 years

I/Y (Interest per year) = 6.5%

Coupon interest rate = 5.5%

PMT (Periodic Payment) = $55

FV (Future Value) = $1,000

Results:

PV = $905.97

Sum of all periodic payments = $825 ($55 x 15)

Total Interest = $919.03

b. Assuming you buy and hold this bond for 5 years. What price must you sell the bond for if you want to earn a 7% rate of return on this investment?

N (# of periods) = 5 years

I/Y (Desired Interest per year) = 7%

Coupon interest rate = 5.5%

PMT (Periodic Payment) = $55

FV (Future Value) = $1,000

Results:

PV = $938.50

Sum of all periodic payments = $275 ($55 x 5)

Total Interest = $336.50

Learn more about calculating the present values at https://brainly.com/question/20813161

A chess club with 32 members is electing a new president. Raina received 8 votes. What percentage of the club members voted for Raina?

Answers

Answer: 25%

Step-by-step explanation:

As you can see 8/32 simplified would be 1/4 which would be 1/4 and 1/4 is equal to 25%!

Make x the subject of…

Answers

Answer:

x = mp - np

Step-by-step explanation:

Step 1: Multiply both sides by p.

[tex]m * p = n *p+ (x/p) * p[/tex] [tex]mp=np+x[/tex]  

Step 2: Subtract np from both sides.

[tex]x + np - np = mp - np[/tex] [tex]x = mp - np[/tex]

List all three digit numbers that have only fours and fives as it’s digit.What is the sum of all of these numbers?

Answers

Answer:

The total number of 3-digit numbers that can be formed = 2 × 2 × 2 = 8

1. 444

2. 445

3. 454

4. 455

5. 544

6. 545

7. 554

8. 555

Sum of all these numbers: 3,996

1. Draw an equilateral triangle whose each side is 4.5 cm

Answers

꧁༒Answer༒꧂

Answer is on the picture

Answer:

Step-by-step explanation:

Flora received a 14% raise on her hourly wage of $16.00. Find Flora’s new hourly wage.

Answers

First 14% of 16$

[tex]\\ \rm{:}\dashrightarrow 0.14(16)=2.24[/tex]

New wage:-

16+2.24=18.24$

A prop assistant needs to rent a telescope to use for a scene in a movie. One company charges $57 per day plus a flat fee of $32 to rent a telescope. Another company charged $62 per day with no flat fee. For how many days would the total cost of renting a telescope be the same at both companies? Justify your answer by writing and solving an equation.

Fill in the blanks with the correct answers.

62x = 58x + 32, when x = ____. The total cost of renting a telescope would be the same at both companies for _____ day(s).

Answers

The number of days for both Companies to have the same total amount is

6.4 days

Word Problem leading to Algebraic expression

 

Given Data

Let the total payment be yLet the number of days be x

Company A

Charges per day = $57Flat fee = $32

y = 57x+ 32 -----------------1

Company B

Charges per day = $62Flat fee = $0

y = 62x + 0-----------------2

Equating 1 and 2 we have

57x+ 32 = 62x+ 0

Solving for x we have

62x-57x = 32

5x = 32

Divide both sides by 5

x = 32/5

x = 6.4 days

Learn more about word problem here:

https://brainly.com/question/13818690

helP ME PLEASE EEEEE

Answers

Answer:

18

Step-by-step explanation:

12 / 4 = 3

4.5 / 1.5 = 3

6.75 / 2.25 = 3

in conc we can see that 3 is most obviously the "scale factor" (id/k what else to call it)

6 x 3 = 18

Answer:

D) $18

Step-by-step explanation:

12 / 4 = 3

4.50 / 1.5 = 3

6.75 / 2.25 = 3

6 x 3 = $18

, A roller is 75 cm long and has a diameter of 42 cm. It takes 800 revolutions to level a playing field 44 m long. Find the breadth of the field. ​

Answers

Answer:

0.18km

Step-by-step explanation:

Lateral Surface Area = 2πrh

= 2 × 22 × 21 × 75

7

= 9900m^2

Area taken by revolution = 9900 × 800

= 7920000m^2

= 7.92 km^2

breadth = 7.92km^2 ÷ 44

= 0.18km

!!!PLEASE HELP!!!!

How can you find the solution to a system of equations by graphing?

(Look at the image for the answers it’s multi choice)

Answers

Answer:

c. The solution to a system of equations is the point or points where they intersect

How long would it take to lose 30 pounds if you’re starting weight is 150

Answers

Answer:a minimum of 15 weeks to about 30 weeks.

Step-by-step explanation:

Which line is perpendicular to a line that has a slope of 1/2?


line HJ

line AB

line CD

line FG

Answers

Answer:

HJ

Step-by-step explanation:

For a line to be perpendicular to another line, you must find the negative reciprocal.

The negative reciprocal of 1/2 is -2.

The only line with a slope of -2 is line HJ because it goes down 2 for every 1 to the right.

Answer:

line HJ on edge

Step-by-step explanation:

6. Which lines are parallel? Why?

Answers

Answer:

  c║d by Converse of Corresponding Angles postulate

Step-by-step explanation:

Line 'a' is not shown as having any relationship to anything. It can be removed from the picture, and all answer choices involving line 'a' can be ignored.

Line 'b' crosses two lines (c and d), so can be considered their transversal. The marked angles are not all between c and d, nor are they all outside of c and d, so they are neither "interior" nor "exterior." Eliminating the obviously incorrect choices leaves only c║d and the choice of the Corresponding Angles postulate or its Converse.

The Corresponding Angles postulate tells you that corresponding angles are congruent where a transversal crosses parallel lines. Its Converse tells you the lines are parallel if the corresponding angles are congruent. Here, we're given angles and asked about the lines being parallel. Clearly, the applicable postulate is ...

  c║d by Converse of Corresponding Angles Postulate

One number is six more than twice a second number. If their sum is 120, find the smaller number

Answers

Answer: 38

Step-by-step explanation:

Step 1: use variables to replace the two numbers

the second number = x

six more than twice the second number = 2x + 6

Their sum is 120: 3x + 6 = 120

Step 2: solve the equation

3x = 114

x = 114/3 = 38

Step 3: check your answer (optional)

six more than twice 38 = 82

38 + 82 = 120

hope this helps

Please show work and thanks

Answers

Answer:

x = 8

each side is 74

Step-by-step explanation:

set two sides equal to each other

see image

Other Questions
Why did Florida develop bicycle laws? To keep riders safe and healthy To make drivers aware of cyclists To sell bicycles and sneakers To tell riders what they can wear .this is social studlies NO ONE WONT HELP ME THIS IS SSTUPIT PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS Cellular respiration is a ______________process where the bonds in food and __________ molecules are broken, and molecules are rearranged to form new compounds that can provide _____________ to muscles It is a swimming killing machine that makes sharks look like kittens. What kind of figurative language is this? can you help me with my math5! + 50 Whats the correct answer Select the correct answer.Which workplace situation requires critical thinking?o ordering pizza for everyone for Friday's lunchO designing an advertising campaign for the company's productO deciding what to wear for the company's Christmas partyO cleaning your desk by the end of the day Use the Pythagorean Theorem to find the distance between (-3, 4) and (6, 1). Show all calculations. in response to Tom's announcement in scene 5 what does Amanda do? There were few women composers during the Baroque Era because __________. there was virtually no way for them to make a living as composers only nuns were allowed to compose music women could not compose music for public performance only university graduates could compose music Submit PLEASE HELP DUE DATE IS 12!!!! write 7 x 7 x 7 using an exponentim dense i know Answer plspslspslspl. When the narrator of "In Another Country" describes the three Italian soldiers with medals as "hunting-hawks," he means that unlike him, they __________. Question 6 options: a) are afraid to return to the front b) have the qualities required of soldiers c) will never play football again d) did nothing to earn their medals. Need help with this. Would highly appreciate it HELP PLEASE I NEED ANSWER NOW Read the quote and answer the question. how did the cuban missile crisis change president kennedys view of foreign policy? kennedy no longer believes that peace with the soviet union is possible. the focus is still on using every available means to defeat the communists. his focus is on peace with the communists rather than on defeating them. 175.32 divided by 3 estimate each quotient Explain how China became a world power during the 14th and 15th centuries Which European country experienced a Civil War that created the conditions for the next global conflict?FranceHungarySpainItaly