a-y= b+y/a make y subject

Answers

Answer 1

Answer:

y = [tex]\frac{a^2-ab}{a+1}[/tex]

Step-by-step explanation:

a - y = b + [tex]\frac{y}{a}[/tex] ( multiply through by a to clear the fraction )

a² - ay = ab + y ( subtract y from both sides )

a² - ay - y = ab ( subtract a² from both sides )

- ay - y = ab - a² ← factor out y from each term on the left side

y(- a - 1) = ab - a² ( divide both sides by - a - 1 )

y = [tex]\frac{ab-a^2}{-a-1}[/tex] ( multiply numerator/ denominator by - 1 )

y = [tex]\frac{a^2-ab}{a+1}[/tex]


Related Questions

Write the fraction 35/42 simplest form

Answers

Answer:

5/6

Step-by-step explanation:

A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $117 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $14 to purchase books and supplies. Each attendee will pay $15 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take? What will be the company's total expenses and revenues?

Answers

Answers:

To reach the breakeven point, how many attendees will that take?     117  

What will be the company's total expenses and revenues?      $1755  for each  

=============================================================

Explanation:

x = number of attendees

C(x) = cost function for the company

C(x) = 14x+117

This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

15x = 14x+117

15x-14x = 117

x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

C(117) = 1755

R(x) = 15x

R(117) = 15*117

R(117) =  1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

Solve the system of equations shown below algebraically.
x+y=1
x^2+y^2=61​

Answers

Answer: xy1 = (6,-5) and xy2 = (-5,6), pls give brainliest if this solution helped you

Step-by-step explanation:

Need someone to help me with this

Answers

Y=3x+7
Formula- y=mx+b
B is y intercept
M is slope
Hope this helps!!

I need these answers in 5 MINUTES PLZ HELP

Answers

Answer: 1.  w=-30%

              2.   c=361

Step-by-step explanation: 1.    15+15=30       2.      a looks the same size as c so c is 361 or same as a

please answer!!!!!!!!!!!!!!!!!

Answers

The answer is B, the green is f(x)=x^2 and the red one is g(x)=f(2x).

2 x 3 2 x 7 = what Prime Factorization ?

A. 42

B. 84

C. 126

D. 252

Answers

Answer:

It's B

And Prime Factorization is when 2 numbers have the same answer.

Example: 3x8=24 and 4x6=24

Step-by-step explanation:

abebe is 12 years old and his sister aster is 2 years old. In how years abebe be exactly twice as old as aster​

Answers

Answer:

8 years

Step-by-step explanation:

Currently

Abebe → 12 years old

Aster → 2 years

With every passing year, each of them will be 1 year older hence the difference between their ages will remain constant.

Difference in ages

= 12 -2

= 10

Let the age of Aster be x years old when Abebe is twice her age.

Abebe → 2x years old

Aster → x years old

Difference in age

= 2x -x

= x

x= 10

Aster is 10 years old when Abebe is twice her age.

Number of years passed

= 10 -2

= 8

Thus, Abebe will be twice as old as her sister in 8 years.

The area of a rectangular pool is 5628 m^(2). If the width of the pool is 67m, what is its length?

Answers

Answer: 84 m

Step-by-step explanation:

To find area, you multiply the width by the length ( A = L x W). Here, it is asking for the length, giving the area of the pool and the width. With this information, you can inverse operation ( division) to find the length of the pool. So:

5628 / 67 = 84

This tells us that the length of the pool is 87 meters. To check this answer, multiply 67 and 84. If it's equivalent to 5628, the given area, then 84 is indeed the length of the pool.

67 x 84 = 5628.

Thus, the length of the pool is 84 m.

Jayden had $43 in his bank account. He wanted to buy a game at GameStop. The game cost $15. He made the purchase.
a) Write an expression to show his purchase activity.

b) How much did he have, after the purchase of the game?

Answers

Answer:

a) 43 - 15

b) 28

43 represents the money he has the game costs $15, subtract 15 from 43 and get $28. After the purchase he now has $28

3+2+6= what pls ls help

Answers

the answer is 11 3+2=5 5+6=11
3+2+6=11
ANSWER:11
Just add each one

Challenge An airplane is preparing to land at an airport. It is 36,000 feet above the ground and is descending at the rate of 3,200 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation


They will be at the same altitude in _ minutes, when their altitude will be _ feet.

Answers

Answer:

6 seconds., 16800 feet

Step-by-step explanation:

The first plane is going y = -3200x + 36000

The second plane is going y = 2800x

Substitute the second equation for y into the first one:

2800x = -3200x + 36000

6000x = 36000 (Add 3200x to both sides)

x = 6 (Divide each side by 6000)

That means they will be the same altitude at 6 minutes.

To find how high, put your answer into one of the equations.

y = 2800 (6)

y = 16,800 feet

Solving Quadratic Equations by Factoring

Answers

Answer:

are those 4 all answers or are they separate?

Step-by-step explanation:

A movie theater sold a total of 50 tickets. 23 of the tickets were child tickets, and the rest were adult tickets. What is the ratio of the number of adult tickets to the total number of tickets?

Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.

Answers

27/50

Step-by-step explanation:

You would have to subtract 50 and 23 to find out how many adult tickets there was

A bag has 25 beads in it.the probability of picking a white bead is 3/5.how many white beads are in the bag

Answers

I think the answer is 5
There are 15 white beads in the bag. (1/5 of 25 is 5.)

A truck left a station at 6:00am traveling at a rate of 45km/h. A van left the same place 2 hours later heading in the same direction at a rate of 54km/h. At what time will the van catch up with the truck?

Answers

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

Find out more on speed at: https://brainly.com/question/3004254

Answer:

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

(6) Arrange the decimals in increasing order..
(a) 0.8, 0.25, 0.21
(b) 0.85, 3/4' 0.857​

Answers

A) 0.21, 0.25, 0.8

B) 3/4, 0.85, 0.857

hope this is helpful!

1 1/3 x 5 Multiply and answer with a mixed number in the simplest form.

Answers

Answer:

The answer is 55/3

Step-by-step explanation:

11 should be divided by 3 and 5 should be multiplied later..

pls help me answer this​

Answers

Step-by-step explanation:

hope it would help you...

Bailey and Elena compete in a swim race. Their times are
shown below.
Round each time to the nearest whole second. Then estimate how
many seconds Bailey won the race by.
50-m Freestyle Results
Time
Swimmer
(seconds)
Bailey 35.78
DONE
Elena
39.51
11
Complete
&
ty

Answers

Answer:

3.7

Step-by-step explanation:

39.5 - 35.8 is 3.7

[tex]39.51=40\\ 35.78=36\\\\ 40-36=16 more seconds more than Bailey.[/tex]

if its any number from 5 and larger, you can round it up to a whole.  

An exponential growth function has an asymptote of y = –3. Which might have occurred in the original function to permit the range to include negative numbers?

A whole number constant could have been added to the exponential expression.
A whole number constant could have been subtracted from the exponential expression.
A whole number constant could have been added to the exponent.
A whole number constant could have been subtracted from the exponent.

Answers

The right choice is: A whole number constant could have been subtracted from the exponential expression.

Let be an exponential function of the form [tex]y = A\cdot e^{B\cdot x}[/tex], where [tex]A[/tex] and [tex]B[/tex] are real numbers. A horizontal asymptote exists when [tex]e^{B\cdot x} \to 0[/tex], which occurs for [tex]B\cdot x \to - \infty[/tex].

For this function, the horizontal asymptote is represented by [tex]y = 0[/tex] and to change the value of the asymptote we must add the parent function by another real number ([tex]C[/tex]), that is to say:

[tex]y = A\cdot e^{B\cdot x} + C[/tex] (1)

In this case, we must use [tex]C = -3[/tex] to obtain an horizontal asymptote of -3. Thus, the right choice is: A whole number constant could have been subtracted from the exponential expression.

To learn more on asymptotes, we kindly invite to check this verified question: https://brainly.com/question/8493280

Answer: C. A whole number constant could have been added to the exponent.

Step-by-step explanation: On Edge!

x+y=5
x-1=y
Please help

Answers

This is a simultaneous equation

Rearrange the second to give

x - y = 1

Add the two equations

(x + y) + (x - y) = 5 + 1

2x = 6
x=3

Substitute 3 into either equation

3 - 1 = y

y = 2

How many angles are formed with a pair of parallel lines and a transversal

Answers

Answer:

what i learned was 8 are formed

Step-by-step explanation:

The m1 is twice m3. The m2 is 20 more than the m3 find m4. See picture for full problem. Please and thank you!

Answers

Answer:

Step-by-step explanation:

i wake up at 6:00 am gianna wakes up 35 minutes later john wakes up 7 minutes before gianna at what time does john wake up

Answers

Find the number of minutes Hohn wakes up after you:

35 minutes - 7 minutes = 28 minutes

6:00 am + 28 minutes = 6:28 am

John wakes up at 6:28am

Answer: 6:28am

Step-by-step explanation: If you wake up at 6 and Gianna wakes up 35 mins later then Gianna woke up at 6:35. If John wakes up 7 mins before Gianna the 35mins -7mins=28. So John woke up at 6:28 am.

Solve x/2 - 8 = y for x

Answers

Answer:

B) x=2y + 16

Step-by-step explanation:

First, you'd multiply the x/2 by 2 to get x by itself.

You do the same throughout the whole equation.

Then isolate the x by getting rid of the -16 to the other side by adding 16

Your final answer should be:

B) x=2y + 16

The value of x for the given equation x/2 - 8 = y will be x = 2y + 16 thus option (B) is correct.

What is the equation?

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraints.

As per the given equation,

x/2 - 8 = y

Add 8 both sides,

x/2 - 8 + 8 = y + 8

x/2 = y + 8

Multiply by 2 both sides,

x/2 × 2 = (8 + y) × 2

x = 2y + 16

Hence "x = 2y + 16 will be the value of x in the equation x/2 - 8 = y".

For more about the equation,

brainly.com/question/10413253

#SPJ2

how to factorize 5x^2-20y^2​

Answers

Answer:

Step-by-step explanation:

[tex]5x^2-20y^2\\=5(x^{2} -4y^2)\\=5[x^{2} -(2y)^2]\\=5(x+2y)(x-2y)[/tex]

Answer:

Step-by-step explanation:

Sarah has 150 marbles. Of the marbles, 2/5 are blue, 3/10 are clear, and the rest are green. What is the ratio of blue marbles to clear marbles to Green marbles in simplest form?

Answers

Answer:

4 : 3 : 3

Step-by-step explanation:

2/5 of 150 = 300/5 or 60;  therefore, there are 60 blue marbles

3/10 of 150 = 450/10 or 45;  therefore, there are 45 clear marbles

150 - (60 + 45) = number of green marbles;  there are 45 green marbles

Blue : Clear : Green ratio is 60 : 45 : 45 or 4 : 3 : 3

8:07, 8:58, ?, 10:43, 11:37

9:51
9:50
9:53
9:49

Answers

Answer:

9:50

Step-by-step explanation:

because, 8:07 ->8:58 +51

...+52

...+53

A pattern can either follow an arithmetic sequence, a geometric sequence or a user defined sequence.

The term that completes the sequence is (d) 9:49

The sequence is given as:

8:07, 8:58, ?, 10:43, 11:37

The above sequence follows an arithmetic sequence, and the common difference (d) is calculated using:

d = 8:58 - 8:07

This gives

d = 51 seconds

The missing term (which is the third term) is then calculated using:

T3 = 8:58 + 51 seconds

This gives

T3 = 9:49

Hence, the term that completes the sequence is (d) 9:49

Read more about arithmetic sequence at:

https://brainly.com/question/6561461

What is the domain of f(x) = (x + 2)2 – 1?

Answers

Simplify

[tex]\\ \tt\Rrightarrow f(x)=(x+2)^2-1[/tex]

[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+2-1[/tex]

[tex]\\ \tt\Rrightarrow f(x)=x^2+4x+1[/tex]

The Domain is set of all real numbers

[tex]\\ \tt\Rrightarrow Domain\in R[/tex]

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