If 2+√3/2-√3= a+b√3 Find a and b ​

Answers

Answer 1

Answer:

a = 7, b = 4

Step-by-step explanation:

Simplify the left side:

(2 + √3)/(2 - √3) = (2 + √3)(2 + √3)/(2 + √3)(2 - √3) =(4 + 4√3 + 3)/(4 - 3) =7 + 4√3

Compare with the right side:

a = 7, b = 4

Related Questions

If f(1) = 10 and f '(x) ≥ 3 for 1 ≤ x ≤ 6, how small can f(6) possibly be?

Answers

Answer:

[tex]f'( x ) = \frac{f(b) - f(a)}{b - a} \\ = \frac{f(6) -f(a)}{6 - 1} \\ 3\leqslant \frac{f(6) - 10}{5} \\ 15\leqslant f(6) - 10 \\ f(6) \geqslant 15 + 10 \\ f(6) \geqslant 25[/tex]

Answer:

25

Step-by-step explanation:

Our "best" case is when [tex]f'(x) = 3[/tex] everywhere - if it changes it means [tex]f(x)[/tex] will grow faster. But if [tex]f'(x)[/tex] is constant, it means [tex]f(x)[/tex] is the straight line [tex] y-10 = 3 (x-1) [tex], which passes through the point (6, 25)

solve pls brainliest

Answers

Answer:

Step-by-step explanation:

3.92,

Rainwater is collected in a large pool. After a significant rainstorm, the pool contains
3 3/4 gallons of water. The sun came out after the rain ended. Within a couple of hours, 1/6 of the water collected in the pool evaporated. What value represents the change in the amount of water in the pool? Enter your answer as a simplified fraction in the box.

Answers

Answer:

3 1/8

Step-by-step explanation:

3 3/4 and 1/6 percent of the water evaporated

3 3/4 as a inproper fraction 15/4  

15/4  * 1/6= 15/24 = 5/8

so we have to subtract 5/8 from 15/ 4

15/4*2/2= 30/8

30/8-5/8= 25/8

Answer:

3 1/8

Step-by-step explanation:

Could use some help here plz.

Answers

75 bottles in one minute
375:5

Simplify the ratio (divide both sides by a greatest common factor [5])

75:1

The factory bottles 75 bottles of juice every one minute.

Please help me solve questions 10 & 11 (WILL MARK BRAINLY)!!!!!!

Answers

Answer:

10 c 100 b 1000 D 8888 A 2337

Anything would help :))

Answers

The first one is 3 if that helps

Step-by-step explanation:

1.

x = number

x/4 = x/3 - 1

x/3 - x/4 = 1

4x/12 - 3x/12 = 1

x/12 = 1

x = 12

2.

the numerator is the top (it gives the number of the parts of the whole that are combined in the fraction).

the denominator is the bottom (it says in how many and therefore how small parts we split the whole).

x = numerator

y= denominator

fraction is x/y

y = x + 2

(x+3)/(y+3) = 23

x + 3 = 23(y + 3) = 23y + 69

x = 23y + 66

now we use the first equation (y = x + 2) and substitute it into the last equation :

x = 23(x + 2) + 66 = 23x + 46 + 66 = 23x + 112

x = -112/22 = -56/11

y = -68/22 = -34/11

the original fraction is

x/y = -56/11 / -34/11 = -56/11 × -11/34 = 56/34 = 28/17

3.

in 1 hour the large pipe has done 1/3 of the work. and the small pipe 1/6 of the work.

so, in total in 1 hour we get (1/3 + 1/6) done.

what factor do we need to multiply (1/3 + 1/6) to get 1/1 (the whole work) ?

x(1/3 + 1/6) = 1

x(2/6 + 1/6) = 1

x(3/6) = 1

x × 1/2 = 1

x = 2

it takes both pipes together 2 hours to empty the pool.

4.

very similar to 3.

we are just using days instead of hours.

in 1 day Erwin gets 1/2 of the work done and Ana 1/5 of the work. so, together, 1/2 + 1/5 of the total work in one day.

so, how many days to get 1/1 (the whole work) done ?

x(1/2 + 1/5) = 1

x(5/10 + 2/10) = 1

x(7/10) = 1

7x = 10

x = 10/7

it takes them together 10/7 days to mow the whole lawn.

Highest common factor of 32,48,72

Answers

Answer:

8

Step-by-step explanation:

32 = 2 x 2 x 2 x 2 x 2

48 = 2 x 2 x 2 x 2 x 3

72 = 2 x 2 x 2 x 3 x 3

HCF ( 32, 48, 72 )

= 2 x 2 x 2

= 8

The correct answer is 8

Which will have a higher effective interest rate - a payday loan for $1500 that
is due in 12 days with a fee of $90, or a payday loan for $1500 that is due in
10 days with a fee of $90?
а
a
O A. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the longer period
O B. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the shorter period
о
C. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the longer period
D. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the shorter period

Answers

The higher effective interest rate is for A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.

What is Interest Rate?

An Interest Rate is the rate at which a person either takes a loan, or a person lends money to somebody.

The interest rate is different for different types of loans, some interests are simply calculated on the principal, called as Simple Interest while some are calculated on both the principal and the interest, called as Compound Interest.

A payday loan has principal of $1500

It is due in 12 days, so time period is 12 days.

The interest amount is $90

I = P * R *T / 100

90 = 1500 *12 *R /100

R = 0.5 %

A payday loan has principal of $1500

It is due in 10 days, so time period is 10 days.

The interest amount is $90

90 = 1500 *10 *R /100

R = 0.6 %

The rate of interest  is more for a payday loan for $1500 that is due in

10 days with a fee of $90.

Hence, the correct answer is A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.

To know more about Interest Rate

brainly.com/question/13324776

#SPJ1

HELPPP THIS IS SO HARD Keegan and Jeff did some research and found that there are approximately 7,492,000,000,000,000,000 grains of sand on Earth. Jeff says that it is about 7 × 10(15) grains of sand. Keegan says that this is about 7 × 10(18) grains of sand.



Guys please add the step by step so they dont know im cheating

Answers

Answer:

Keegan is correct.

Step-by-step explanation:

Keegan is correct.

Put a decimal point after the first digit which is 7. Count decimal places there are after the 7, this will be your power of 10. There are 18 decimal places after the 7. This means the answer would be 7 x 10^18.

Basically, Keegan is right

when you present 7,492,000,000,000,000,000 in standard form, it is indeed, 7×10¹⁸, the reason Jeff is wrong is because he only counted Os and not the numbers 492 which Keegan rounded to Os. Ok, to simply this 7×10¹⁵ equals 7 000 000 000 000 000, and 7×10¹⁸ is 7 000 000 000 000 000 000 while is closer to thee original answer than Jeff's response.

Please mark BRAINLIEST if you're satisfied with this explanations.

IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math

Answers

Hey there!

Let's take the number of cows in the field as 'c'.

Then, the number of horses in the field is = c + 2 [2 more horses than cows]

Total number of animals on the field = 16.

So, equation becomes...

c + c + 2 = 16

2c + 2 = 16

Hope it helps ya!

Đề bài sau dùng cho 3 câu từ câu 1 đến 3
Doanh thu (triệu đồng) 830 900 950 1.020 1.200
Số cửa hàng 15 25 30 20 10
1. Doanh thu bình quân của các cửa hàng là:
a. 980,0 b. 958,5 c. 950,0 d. 980,6
2. Trung vị về doanh thu là:
a. 900 b. 950 c. 958 d. 925
3. Mốt về doanh thu là:
a. 900 b. 950 c. 1.020 d.

Answers

Answer:

Step-by-step explanation:

3v + 7v + 9v =3 v+7 v+9 v= ​

Answers

Answer:

I cant help you

Step-bBecause i just c

y-step explanation:

I need to learn about percent, proportion, and mixture word problems

Answers

Answer:

Percent:

There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula.

X and Y are numbers and P is the percentage:

Find P percent of X

Find what percent of X is Y

Find X if P percent of it is Y

Mixture:

Solving a percent mixture problem can be done using the equation Ar = Q, where A is the amount of a solution, r is the percent concentration of a substance in the solution, and Q is the quantity of the substance in the solution.

Proportion:

Many "proportion" word problems can be solved using other methods, so they may be familiar to you. For instance, if you've learned about straight-line equations, then you've learned about the slope of a straight line, and how this slope is sometimes referred to as being "rise over run". But that word "over" gives a hint that, yes, we're talking about a fraction. And this means that "rise over run" can be discussed within the context of proportions.

Step-by-step explanation:

Hope This Helps!

Help help please math math please

Answers

Answer:

n = 6

Step-by-step explanation:

6÷4 = 9÷n

6n = 9*4

6n = 36

n = 6

What is the equation of the line shown in this graph?
у
5
4
3
(-2,2)
2
1
-5
-4
-3 -2
-1 0
1
2.
3
4
5
-1
-27
(-2,-3)
-3
-4

Answers

Answer: (1,-4)

Step-by-step explanation:ssghvssd5633

Need help with this...pronto..please​

Answers

1) 130
2) 70
3) 21.5%
4) 77
5) 10

Find the area of the parallelogram.

Answers

Answer:

894

Step-by-step explanation:


Use the Quadratic Formula to solve for x and then determine whether your solution is real or
complex.
y = x2 + 5x + 6
** Remember y = 0 **
Real
o Complex
1

Answers

Answer:

[tex] x = -2 [/tex]   or   [tex] x= -3 [/tex]

The solution is real.

Step-by-step explanation:

x^2 + 5x + 6 = 0

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-5 \pm \sqrt{5^2 - 4(1)(6)}}{2(1)} [/tex]

[tex] x = \dfrac{-5 \pm \sqrt{25 - 24}}{2} [/tex]

[tex] x = \dfrac{-5 \pm \sqrt{1}}{2} [/tex]

[tex] x = \dfrac{-4}{2} [/tex]  or  [tex] x = \dfrac{-6}{2} [/tex]

[tex] x = -2 [/tex]   or   [tex] x= -3 [/tex]

The solution is real.

What is the product of 2.5 x 4.3?

Answers

Answer:

10.75

Step-by-step explanation:

2.5 x 4.3 = 10.75

Answer:

[tex]{ \rm{2.5 \times 4.3 = 10.75}} [/tex]

You are shipping a box that weighs 13 pounds. Shipping charges are listed by ounces at the local mail center. How many ounces does the box weigh?

Answers

Answer:

208 ounces in 13 pounds

Step-by-step explanation:

Answer fast, please!!

Answers

the answer is B!!!!

X-6y=6 find an ordered pair

Answers

Answer:

(6,0) or (0,-1)

Step-by-step explanation:

X-6y=6

X=6+6y

X/6=1+y

X/6-1=y

y=X/6-1

We'll use substitution to solve the ordered pair. Let's say Y = 0. We'll insert it back into our equation.

0=X/6-1

1=X/6

6=X

(6,0)

We can also start with X being = 0.

y=0/6 -1

y=-1

(0,-1)

I've attached what that would look like as a graph.

5) Cuando 102 se divide por 2/3 la respuesta es

Answers

Answer:

Cuando 102 se divide por 2/3 la respuesta es 153

Step-by-step explanation:

102 : 2/3 =

102 * 3/2 =

51 * 3 =

153

If F(x) = 12x/(3 + x2), find F '(3) and use it to find an equation of the tangent line to the curve y = 12x/(3 + x2) at the point (3, 3).
F '(3) =
y(x) =

Answers

Answer:

f=12

yx=88

Step-by-step explanation:

Which is the largest of the following numbers? 0.1, 0.02, 0.003, 0.0004, 0.00005

Answers

answer is the option 0.1

Answer:

0.1

Step-by-step explanation:

By looking at numbers after the decimal point, the largest number comes the soonest. Looking at our options here, 0.1 would be the largest since it is the closest to 1, whereas 0.00005 is the smallest because it is very far from 1.

Keith plays basketball at a gym. He can get a $20 membership card and pay $2 for every visit, or he can go any time and just pay $5 for each visit. Which two equations represent the two options for his
number of visits with his total ccost?

Answers

Step-by-step explanation:

Got it. Hope this will help.

pls help i am in k12
Refer to the equation 2x − 6y = 12.

Write the equation in Slope Intercept Form.






Find the x-intercept and the y-intercept?





Create a table of values for 4 points. You can include the intercepts. Show your work.


X

Y

Answers

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

To find the x-intercept, substitute in  0  for  y yand solve for  x . To find the y-intercept, substitute in  0  for  x and solve for  y .

x-intercept(s):  ( 6 , 0 )

y-intercept(s):  ( 0 , − 2 )

Use the slope-intercept form  y = m x + b to find the slope  m and y-intercept  b .

Slope: [tex]\frac{1}{3}[/tex]

graph in pic

(Credit: M a t h w a y)

a. Complete the table to chart his calorie expenditure for different amounts of time.
Time (minutes)
to
5
45
30
120
20
80
75
15
Calories Burned
to
20
9
b. Plot the table of values on the graph.
X/
x9
400f%
300
Calories Burned
200
100
20
10 20 30 40 50 60 70 80 90 100
Time (minutes)

Answers

Answer:

you are missing the values; 25, 50, 90, and 105

Solved by using - Guv=8piG(Tuv+P^Guv)

Graph and solve the following system.


у= 2x + 3

y = -2x + 3

Answers

graphed in the image attached with points,

hope this helps :D

The time it takes a worker on an assembly line to complete a task is exponentially distributed with a mean of 8 minutes. a. What is the probability density function for the time it takes to complete the task? b. What is the probability that it will take a worker less than 4 minutes to complete the task? c. What is the probability that it will take a worker between 6 and 10 minutes to complete the task?

Answers

ounces is In the apothecary system of measurement, equal to one apothecary pound. a) eight O b) 16 c) 12 d) four
Other Questions
4 3/5 + 5 1/2Help me please and thank you CAN YOU PLEASE HELP ME !!Group that contributed to American society and culture.One significant contribution from this group on American society and/or culture.Explain how the contribution affected American society and/or culture. (HintHow is the contribution reflected in American culture today?)Native AmericansAfrican AmericansWomenChildrenReflection Questions:Choose one group and explain how parts of that culture are reflected in American culture today. Explain your answer using specific examples from the lesson.Now it's time to put on your thinking caps. Use the lesson and your life to answer the next question.Think about the role of colonial children. How has the role of children in society changed from colonial times to the present? (Hint: Do children still do the same things today as they did in colonial times? What is the same? What is different?) the topic is about martin luther king jr give the advantages of business partnership structures using the given pictures, make a sentence by using a modal noun.pls ASAP I'll choose the brainliest 43% of a town has blue eyes, 46% has blonde hair, and 24% has both. What is the probability that a random person picked will have both? anong meaning nang pangnakaraan, pangkasalukuyan panghinaharap Explain why the progressives felt introducing the ideas of the initiative, referendum, and recall votes were important for people holding thegovernment accountable. eye disorder and surgery 5(x + y)2 + (x + y) 4 how to use solution of an inequality in the real world? which of following parties did Samuel J. Tilden belong to 6.) Danasia has two summer jobs. During the week she works in the grocery store and on theweekend she works at a nursery. She gets paid $15 per hour to work at the grocery store and$18 per hour to work at the nursery. The one week she made $630. Write an equation tomodel the situation. PLEASE HELP! ASAP I NEED HELP! Lauren bought x boxes of cookies to bring to a party. Each box contains 12 cookies.She decides to keep two boxes for herself. She brings 60 cookies to the party. Writean equation that can be used to find the number of boxes, x, Lauren bought. Let f(x) = x 3 and g(x) = x + 11. Find f(x) g(x). x2 8x 33 x2 8x + 14 x2 + 8x + 14 x2 + 8x 33 At the time of the winter solstice in the Northern hemisphere, the Southern hemisphere will be having __________________.a) Winterb) autumnc) summerd) spring Why is tone important in literature? PLEASE HELP MEA population in a town has 2500 people in the first month of its development. Every month after that, the population constantly increases 1.25 times from the previous month. What will the population of the town be in the 4th month?A.) About 4883 peopleB.) About 6104 peopleC.) 12500 peopleD.) 9375 people 6. What is true about Calcium (Ca)? A. It is a very unreactive metal. B. It is reactive and is found with nonmetals in nature. C. naturally uncombined with other elements. D.It is a very reactive nonmetal.