Using the fact that [tex]a - b = -1(b-a)[/tex] simplify the following: [tex]\frac{3}{1-x} - \frac{2}{x-1}[/tex]

Answers

Answer 1

Answer:

[tex]\frac{5}{1-x}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{1-x}[/tex] - [tex]\frac{2}{x-1}[/tex]

= [tex]\frac{3}{1-x}[/tex] - [tex]\frac{2}{-1(1-x)}[/tex]

= [tex]\frac{3}{1-x}[/tex] + [tex]\frac{2}{1-x}[/tex]

= [tex]\frac{5}{1-x}[/tex]


Related Questions

The altitude a ( in feet) of a plane t minutes after lift off is given by a=3400t+600
How many minutes after liftoff is the plane at an attitude of 21,000 feet?

I need help understanding this ASAP PLZ!!!

Answers

Answer:

  6 minutes

Step-by-step explanation:

'a' in the formula represents altitude in feet. You are told the altitude is 21000 feet, so put that into the formula:

   21000 = 3400t +600

You can solve this for t:

  20400 = 3400t . . . . . subtract 600 from both sides

  6 = t . . . . . . . . . . . . . . . divide both sides by 3400

The problem statement tells you that t represents minutes after lift off, so this solution means the altitude is 21000 feet 6 minutes after lift off.

The question is asking for the number of minutes after lift off that the plane reaches an altitude of 21000 feet, so this answers the question directly:

  The plane is at an altitude of 21000 feet 6 minutes after lift off.

Midpoint of the segment with endpoints (-8, 5) and (3, -6)

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{( - 2.5 \: , \: - 0.5)}}}}}[/tex]

Step-by-step explanation:

Let the given points be A and B

Let A( -8 , 5 ) be ( x₁ , y₁ ) and B ( 3 , -6 ) be ( x₂, y₂ )

Finding the midpoint

[tex] \boxed{ \sf{midpoint = (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{ - 8 + 3}{2} , \: \frac{5 + ( - 6)}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{ - 8 + 3}{2} \: , \: \frac{5 - 6}{2} )}}[/tex]

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

[tex] \dashrightarrow{ \sf{( - 2.5 \: , \: - 0.5 \: )}}[/tex]

Hope I helped !

Best regards!

how many pennies fit in a 22-inch circle?​

Answers

Answer :

663 Pennies can fit into a 22-inch circle

The required number of pennies fit in the circle is 13.

Area of the Circle:

The formula of the area of the circle is [tex]A=\pi r^2[/tex]

As we know that the standard radius of a penny is 0.75 inch

So, the area of the one penny is,

[tex]A=\pi r^2\\A=3.14\times (0.75)^2\\A=1.77[/tex]

So, the total number of pennies fit in the 22-inch circle is,

[tex]n=\frac{22}{1.77} \\n=12.49\\n\approx 13[/tex]

Learn more about the topic of the area of the circle:

https://brainly.com/question/24119229

While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent. 1 European euro = 1.3687 US dollars

Answers

Answer:$ 44.70

Step-by-step explanation: 250/1.3687 = 182.655-150 =32.655 times 1.3687

Answer:

He has 45 USD left.

Step-by-step explanation:

250 USD = 212 Euros. 250 - 212 = 38. 38 euros - about 45 USD, rounded.

78.84 meters= Centimeter

Answers

Answer:

7884 Centemeters

Step-by-step explanation:

The total of centimeters is 7884 centimeters long

A graph titled Population of Old Town has Time (years after 2000) on the x-axis, and number of people on the y-axis. A line goes through points (4, 7,000) and (6, 6,500).What is the slope for this scenario?

-500
-250
-1/4
200

Answers

Answer:

-250

Step-by-step explanation:

It was right on edge

Answer:

The answer is -250

Step-by-step explanation:

it was on edge and i got it right

The greater of 2 consecutive odd integers is 8
more than 3 times the lesser. Find the integers.

Answers

Step-by-step explanation:

let the odd integers be a, a+2.

a+2=8+3a

collect like term

a-3a=8-2

-2a=6

a=-3

so the integers are -3, -1

Solve for x.
144=12(x+7-2) Steps please

Answers

Answer:

x=7

Steps:

12=x+7-2

12= x + 7 - 2

12 = x + 5

-x = 5 - 12

-x = -7

x = 7

An average African elephant weighs about 9,072 pounds. How is this number written in scientific notation?

Answers

Answer:9.072×10³

Step-by-step explanation:

A number is said to be written in a scientific notation or standard form if it is expressed in the form a×10n where 1 is less than or equal to a and a is less than 10 and n is an integer

9072 is more than 10

So 9072÷10=907.2

Still 907.2 is more than 10

So 907.2÷10=90.72

Still 90.72 is more than 10

So 90.72÷10=9.072

9.072 is less than 10

We divided 9072 by 1000 and 1000 as a power of ten is 10³

So the answer is 9.072×10³

Answer:

9.07210

math it's so fun right? :)

SOMEONE HELP PLEASEEE !!!

Answers

Answer:

if im right its 13.09 miles since perimiter is just the total length of the outside lines.

Step-by-step explanation:

Factor 6x^2+28x+16 Thank you so much for your help!

Answers

Answer:

2(3x+2)(x+4)

Step-by-step explanation:

6x^2+28x+16

first : 2 as a common factor:

2(3x²+14x+8)   then factorize

2(3x+2)(x+4)

When the movie is half over, popcorn sells for half price. Which expression can be used to determine the new cost for 3 orders of popcorn and 3 drinks? 3 Left-bracket one-half (3.50) + 1.35 Right-bracket One-half (3.50) + 3 (1.35) One-half left-bracket 3 (3.50) + 3 (1.35) right-bracket (3.50) (3) divided by one-half + 1.35

Answers

Answer:

3[1/2(3.50)+1.35]Step-by-step explanation:

The expression for new cost is 3(3.50/2 + 1.35)

What is equations?

A mathematical statement that consists of two expressions connected by an equal sign is called an equation.

Given the cost of popcorn is half when movie is half over,

according to question

original cost of popcorn = 3.50

cost at interval = 3.50/2

cost of drink = 1.35

cost of 3 drink = 3 x 1.35

cost of 3 popcorn = 3 x 3.50/2

expression for new cost for 3 orders of popcorn and 3 drinks

3 x 3.50/2 + 3 x 1.35

= 3(3.50/2 + 1.35)

Hence the expression is 3(3.50/2 + 1.35)

Learn more about equations;

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Convert 32,190 inches /year to yards

Answers

Answer:

2.4 yards a day

Step-by-step explanation:

32,190 inches = 894.167 yards

894.167 / 365 = 2.4 yds/day

The conversion of 32,190 inches /year to yards/day yields: 2.4 yards/day

To convert 32190 inches/year to yards per day;

We must first find the conversion factor of inches to yards and

We must also find the conversion factor of years to days.

In essence, since 1 inch = 0.0278 yards.

Therefore, we have;

32190 inches/year = 32190 × 0.0278 yards/year.

= 894.88yards/year.

However, 365 days make one year;

Therefore,

894.88 yards/year = (894.88/365) yards/day.

= 2.4 yards/day.

Read more:

https://brainly.com/question/8512113

Students are planning the backdrop for the school play. The backdrop is 15 feet wide and 10 feet high. Every 16 inches on the scale drawing represents 5 feet on the backdrop What is the area of the scale drawing?

Answers

Answer:6

Step-by-step explanation:

How do I solve an absolute value question?

Answers

Answer:

absolute value is how many units it is away from 0. meaning that -6 and 6 both have an abosolute value of 6.

Step-by-step explanation:

Make sure your answer is positive, since in absolute value, the answer in the bars is always positive

I don’t actually know how to help but thats the one thing that I know. I hope it helps :’)

An object is moving at a speed of 4 meters per month. Express this speed in inches

per hour. Round your answer to the nearest hundredth.

*Note: you must use these exact conversion factors to get this question right.

Distance / length

Time

1 foot (ft) = 12 inches (in)

1 minute (min) = 60 seconds (sec)

1 yard (yd) = 3 feet (ft)

1 hour (hr) = 60 minutes (min)

1 mile (mi) = 5280 feet (ft)

1 day (day) = 24 hours (hr)

1 meter (m) = 100 centimeters (cm)

1 week (week) = 7 days (days)

1 kilometer (km) = 1000 meters (m)

1 month (month) = 30 days (days)

1 inch (in) = 2.54 centimeters (cm)

1 year (year) = 365 days (days)

1 foot (ft) = 0.305 meters (m)

1 mile (mi) = 1.609 kilometers (km)

Answers

Answer:

0.22inches/hour

Step-by-step explanation:

Given the speed of an object to be 4metres/month, we are to express the speed in inches/hour.

First we will need to convert 4meters to inches

From the conversion factors given,

1 foot (ft) = 0.305 meters (m)

x ft = 4metres

cross multiply

x * 0.305 = 4*1

x = 4/0.305

x = 13.115ft

4 metres = 13.115ft

Then we will convert 13.115ft to inches

From the conversion factors,

1 foot (ft) = 12 inches (in)

13.115ft = y

cross multiply

y = 13.115*12

y = 157.377 inches

Hence 4 metres = 157.77inches.

For 1 month to hour

First we need to convert month to days and from the conversion factor

1 month = 30 days

Next is to convert 30days to hours

Since 1 day = 24hours

30days = z

z = 30* 24

z = 720hours

Hence 1 month = 720hours

On converting 4metres/month to inches/hour

4metres/month = 157.77inches/720hours

4metres/month = 0.219inches/hour

Hence the speed of the object in inches per hour to the nearest hundredth is 0.22inches/hour

8. Joe walked 5 miles north, 9 miles east, then 9 miles north, and 7 miles east. If Joe decides to
walk straight back to where he started, how far must he walk?

Answers

Answer:

tim has an after school delivery service that he provides for several small retailers in town. he uses his bicycle and charges $1.25 for a delivery made within 1 1/2 miles, $1.70 for a delivery of at least 1 1/2 miles but less than 1 3/4 miles. $2.15 for a delivery of at least 1 3/4 miles but less than 2 miles, and so on. if tim raised his rates by 10%, what would he be paid to deliver a package 3 1/8 miles?

since the rate was 45 cents i multiplied 0.45 by 1.1 and got 0.495 and then i kept adding to the cost and 1/4 to the amount of miles until i got 3 1/8 miles. my answer was 4.715 so i rounded to 4.72, is that correct?Step-by-step explanation:

Convert the given amount to the given unit.
6.5 lb; ounces
6.5 lb =
ounces

Answers

Answer:

the answer is 104

Step-by-step explanation:

1= 16

6= 96

0,5=8

3 over the power of 2 multiply by 3 over the power of 5

Answers

Answer:

[tex] 3^2 \times 3^5 = 3^7 [/tex]

3^2 * 3^5 = 3^7

Step-by-step explanation:

I assume you mean this:

[tex] 3^2 \times 3^5 [/tex]

If so, then the rule is that when you multiply two numbers with the same base, you give the same base and add the exponents.

[tex] 3^2 \times 3^5 = 3^{2 + 5} = 3^7 [/tex]

What ratios can we say are equivalent to 2:9?​

Answers

Answer:

4:18, 6:27, etc

Step-by-step explanation:

Basically, anything x 2 and x 9 would be equivalent as a ratio

Answer:

4:18

Step-by-step explanation:

times them both by two

Please help me!!!!!!

Answers

Answer:

105

Step-by-step explanation:

LN = 6x

LN = LM + MN ➡ LN = 4x + 8 + 27 so 6x = 4x + 8 + 27

2x = 35 and x = 17.5

6 × 17.5 = 105

Answer:

105

Step-by-step explanation:

4x+8+27=6x

subtract 4x from both sides you get 35 = 2x

divide and get x= 17.5

you know LN = 6(x), so substitute 17.5 in for x and you get 6(17.5)= 105

3x−5−2(−x+9)=2 plz help

Answers

Answer:

X = 5

Step-by-step explanation:

multiply what is in the ( )

-2 ( -2)

-2 ( 9)

3x -5 +2x -18 = 2

combine like terms

5x -23 = 2

add 23 to both sides

5x = 25

divide 25 by 5

X = 5

The function f(x) is shown on the graph.
What is f(0)

Answers

Answer:

-6 only

Step-by-step explanation:

i just did the test

Solve the equation below for y.
8x+4y=20

Answers

The final answer is Y= -2x + 5
4y=20-8x
Y=20-8x/4
Y=5-2x

Simplify this expression.
275(13 + 2)
265 + 2/10
25+27
26765 + 2/10
O 265 +2 10

Answers

The first one . 275(13+2) = 4.125
The second one . 265 + 2/10= 1326/5 as in 1326 over 5
The third one . 25+27= 52
The fourth one . 26765+2/10= 936776/35
The fifth one . (((Then is the fifth one 0 + 265 + 2/10 ?)))

Eating on campus The director of student life at a small college wants to know what percent of students eat regularly in the cafeteria. To find out, the director selects an SRS of 300 students who live in the dorms. Describe how undercoverage might lead to bias in this study. Explain the likely direction of the bias.

Answers

Answer:

Well, in this case all the students selected live in the dorms, so it is actually likely that they eat in the cafeteria regularly.

For example, a student that lives in a house (with family, friends, etc) may have access to eat in his own place or may have larger economic freedom, so maybe they go and eat out. In this group, you may find that the probability for a randomly selected student eats in the cafeteria regularly may be smaller than in the group of the students that live in the dorms.

So the sample will be biassed towards eating regularly in the cafeteria.

2x+3y=12 complete the missing value in the solution to the equation

Answers

Answer:

(-6,8) is your answer.

Step-by-step explanation:

1. 2x + 3y = 12

2. 2x +3 * 8 = 12

3. 2x + 24 = 12

4. 2x = -12

5. x = -6

So, our final answer is (-6,8)

16. Rahul cycles at a speed of 6km/hr to reach school in 20 minutes. What should his
speed be if he wants to reach school in 15 minutes?​

Answers

Step-by-step explanation:

Distance to school = (6km/h)(1/3h) = 2km

2km in 15 minutes = 8km in 60 minutes.

Hence his speed should be 8km/h.

the slope of (-2,3) and (4,-5)

Answers

Answer:

-4/3

Step-by-step explanation:

Slope= - 5-3/4+2

Slope= - 8/6

Slope = - 4/3

answer:

0.75 i think i'm not really sure i hope it helps tho

Step-by-step explanation:

What is 2x=4????????????

Answers

Answer:

x = 2

Step-by-step explanation:

2× = 4

x = 2

2x = 4

4/2 = 2

so...

2(2) = 4

x = 2

That’s easy, divide the 4 by two and divide the two x by two, canceling it out and you have x=2
Other Questions
How do mirrorswork? Which business structures offer business owners Martin and Teresa the most shared control over the business? A : general partnership, limited liability partnership, sole proprietorship B : S-corporation, limited liability partnership, sole proprietorship C : general partnership, limited liability partnership, limited liability corporation D : general partnership, sole proprietorship, S-corporation Here are simplified financial statements for Watervan Corporation. INCOME STATEMENT (Figures in $millions)Net sales $881Cost of goods sold 741Depreciation 31Earnings before interest and taxes (EBIT) $109Interest before tax $97Taxes 34Net income $63 BALANCE SHEET (Figures in $millions) End of Year Start of YearAssetsCurrent assets $369 $312Long-term assets 258 222Total assets $627 $534Liabilities and shareholders; equityCurrent liabilities $194 $157Long-term debt 108 121Shareholders' equity 325 256Total liabilities and shareholders' equity $627 $534The company's cost of capital is 8.5%a. Calculate Watervan's economic value added (EVA). Do not round intermediate calculations. Enter answer in millions rounded 2 decimal places.Economic value added $_____ millionb. What is the company's return on capital? Use start of year rather than average capital. Do not round intermediate calculations. Enter answer as a percent rounded to 2 decimal places.Return on capital _____%c. What is its return on equity? Use start of year rather than average equity. Enter answer as a percent rounded to 2 decimal places.Return on equity _____% Consider the segment AB with A positioned at (6,2). The midpoint of AB, M is located at (5, -3). What are the coordinates of point B? * O (7,7) O (4,-8) O (5.5, -0.5) O (4,5) as es la vida de C.J. Garcia Is a text message a form of verbal communication? Why oy why not? The Hindu practice of thoughtful meditation including mental andphysical focus in order to become one with Brahman is called What was the crop-lien system? chemistry screen shot below plzzzzzzz help i've been stuck forever When Marco Polo was 17, where did he begin traveling to? Mimbres pottery is an example of both Art for Delight and (due to the function of the "kill hole") Art for Worship and Ritual. What aspect of Mimbres Pottery has motivated a great deal of creativity throughout history? A factory worker can produce 28 toys in an eight hour day If there are 42 workers in total how many toys are produced every hour Which statement best describes the economy of the Carolinas? a)The North and South had equal numbers of plantations. b)The South had more plantations than the North. c)The North had more plantations than the South. Find the height or length of these natural wonders in km, m, and cm.A. A cave system with a mapped length of 354 miles.B. A waterfall that drops 1,235.2 ft.C. A 21320 ft tall mountain.D. A canyon with a depth of 6630 ft. Evaluate the expression when a= - 7 and y= 2 a-2y In a normal distribution, the mean, median, and mode are the same value.Please select the best answer from the choices providedTOF An insurance premium of $1,500 is paid for insurance coverage for the following year. The payment is recorded as an expense in the month of purchase. This violates the __________ principle of accounting. What is the value of y ? An acetaminophen suspension for infants contains 80 mg/0.80 mL suspension. The recommended dose is 15 mg/ kg body weight. How many mL of th is suspension should be given to an in fant weighing 14 lb? (Assume two significant figures.) Gracie can iron 3 shirts in 13 minutes. At this rate, how long will it take her to iron 10 shirts? Which proportion shows how to solve the problem?