Mathematics High School

1/b+x=3b/2x^2 - 1/x
btw ^2 means square

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1/b+x=3b/2x^2 - 1/xbtw ^2 Means Square

Answers

Answer 1

Answer:

[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]

Step-by-step explanation:

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

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

[tex] = > 2 {x}^{2} = (b + x)(3b - 2x)[/tex]

[tex] = > 2 {x}^{2} = 3 {b}^{2} - 2bx + 3bx - 2 {x}^{2} [/tex]

[tex] = > 2 {b}^{2} = 3 {b}^{2} + bx - 2 {x}^{2} [/tex]

[tex] = > 3 {b}^{2} + bx - 4 {x}^{2} = 0[/tex]

[tex] = > 3 {b}^{2} + 4bx - 3bx - 4 {x}^{2} = 0[/tex]

[tex] = > b(3b + 4x) - x(3b + 4x) = 0[/tex]

[tex] = > (3b + 4x)(b - x) = 0[/tex]

Hence,

[tex]x = \frac{ - 3b}{4} \: or \: b[/tex]

Related Questions


14) When f(x) = x + 3 is transformed to g(x) = f(x) -1, what will be the new
equation?

15) Given: g(x) = f(x) + 5. What is g(x) when f(x) = x - 2?

Answers

Step-by-step explanation:

14) g(x)= x + 3 - 1

= x + 2

15) g(x)= x - 2 + 5

= x + 3

The answer is x + 3

help it’s also not D :)

Answers

Answer:

the answear is c

Step-by-step explanation:

i learnt in class that the number with the letter is used to divide what it equalls

Answer:

C

Step-by-step explanation:

Step 2 is correct, that is

8x = 10 ( divide both sides by 8 ), error made here by dividing by 10

x = [tex]\frac{10}{8}[/tex]

x = [tex]\frac{5}{4}[/tex]

The error was made at step 3

Please help me out!!!!!!!

Answers

Answer:

Is a 0

Step-by-step explanation:

Holly begins with 1 penny in her piggy bank. She adds 2 pennies on day 1, 4 pennies on day 2, and 8 pennies on day 3. She continues this pattern for 30 days.

Which statement describes why this sequence is a function?

Select EACH correct answer.

a Each amount of pennies corresponds to a unique day in this sequence.
b The graph of this sequence would pass the horizontal line test.
c Each day corresponds to a unique amount of pennies in this sequence.
d The graph of this sequence would pass the vertical line test.

Answers

Answer:

The answer is c and b

Step-by-step explanation:

I took the test

Options B, C and D are correct.

The Graph of this sequence would pass the horizontal line test.Each day corresponds to a unique amount of pennies in this   sequence.The Graph of this sequence would pass the vertical line test.

We have Holly and her penny collection.

We have to select the correct alternatives from the given.

Starting from 1 marble if you add 'x' marble every day for n days, then you have a total of 40 marbles. Find n.

1 + nx = 40

nx = 39

n = 39/x

According to the question-

Initial Amount in piggy bank = 1 penny.

Now -

She adds -

2 Pennies on Day 1.

4 Pennies on Day 2.

8 Pennies on Day 3.

Therefore, the following sequence represents her collection -

1, 2, 4, 8 .....

It can be seen that each day corresponds to a unique amount of pennies in this sequence.

Now -

Vertical line test → to satisfy this test the graph should not have two or more points going through a vertical line.

Horizontal Line test → to clear this test the graph should not have two or more points going through a Horizontal line.

If we plot the graph of this function - Refer to image attached. It can be seen that the graph of this sequence passes horizontal line and vertical line test.

Hence, Options B, C and D are correct.

To solve more questions on Coulomb's law, visit the link below-

brainly.com/question/10933224

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A cup is in the shape of a cone. If the cup has a height of 6 inches and a diameter of 3 inches, which is closest to the amount of water the cup can hold? A 9.42 cubic inches B 14.13 cubic inches C 56.52 cubic inches D 113.04 cubic inches

Answers

Answer:

B.14.13in³

Step-by-step explanation:

Step one

The shape of the cup is that of a cone

The volume of a cone

V=1/3πr²h

Radius= d/2 = 1.5in

Height =6in

Substitute

V=1/3*3.142*1.5²*6

V=42.42/3

V=14.13in³

what is 5 1/3 - 3 5/6 I keep getting the wrong answer and I need the answer as a fraction

Answers

Answer:

3/2

Step-by-step explanation:

If you wanted whole number, it would be 1 1/2, but you said as a fraction, so that would be 3/2

A box of 14 raisins cost $2.94 while a box of 12 sunflower seed bags cost $2.40.

Which one is the better deal, based on the unit price?

Answers

Answer:

the sunflower seeds are a better deal when comparing unit price. The real question is why are we comparing raisins to sunflower seeds?

Step-by-step explanation:

14 raisins costs $2.94

This is $0.21 per raisin.

12 sunflower seed bags costs $2.40

That's $0.20 per bag.

A series is defined by 5+9+13+17+.......+805 a. Find the number of terms of the series. b. Find the sum of the first 20 terms.​

Answers

Answer: the number of terms of the series is 201 numbers

              the sum of the first 20 terms is 890    

the number of terms of the series is [tex]\frac{805-5}{4}+1=201[/tex]

the series have:

u1 = 5

d = 4

=> u(n) = 5 + 4.(n - 1)

=> u(20) = 5 + 19.4 = 81

so the sum of the first 20 terms is (81 + 5).20/2 = 890

( u1 is the first number of the series, d is the  distance between front and rear numbers, u(n) is the overall term of the sequence, u(20) is the 20th of the series)

Step-by-step explanation:

**DUE IN LIKE 10 MINUTES PLEASE HELP!**
Mary bought 6 bracelets that cost the same amount and one necklace which cost $86. The items she bought totaled $254 before sales tax was added. What was the cost of each bracelet?
A) $14
B) $56
C) $42
D) $28

Answers

1 necklace will therefore cost 34/4 = $8.5

Step-by-step explanation:

She spent between $39 and $59. let us find the average of the amount she spent = 39+59 / 2 = $49.

At an average, she spent $49.

The price of a bracelet is $5 and each bracelet costs the same amount and she bought 3 bracelets = $5 x 3 bracelets each = $15... She spent $15 on the bracelets.

Thus $49 - $15 = amount spent on the 4 necklaces = $34.

4 necklaces cost $34, 1 necklace will therefore cost 34/4 = $8.5

Answer:

Step-by-step explanation:

6x+86=254

subtract  86 from both sides 6x=168

divide both sides by 6 x=28

ok so tomorrow i have exams omg haha im so scareddd!!!!!

Answers

hopefully yu pass !

Answer:

Best of luck! I hope your exam goes well!!!

Suppose 3 is a root of the quadratic equation ax² – 2x – 21 = 0. Find the value of a and hence find the other
root of the equation.​

Answers

Answer:

a = 3

the other root = -7/3

can anyone help me answer this?!?!

Answers

Answer:

if ∠PQR ≅ ∠STU, then ∠STU ≅ ∠PQR

We conclude that  'Symmetric Property of Angle Congruence' illustrates this statement.

Step-by-step explanation:

We know that the Symmetric Property of Angle Congruence can be defined as

For any angles X and Y, if ∠X≅∠Y , then ∠Y≅∠X

For example, Let suppose

m∠X = 20m∠Y = 20

As ∠X≅∠Y i.e. 20 ≅ 20

then

∠Y≅∠X i.e. 20 ≅ 20

Given

if ∠PQR ≅ ∠STU, then ∠STU ≅ ∠PQR

Thus, we conclude from the above discussion that 'Symmetric Property of Angle Congruence' illustrates this statement.

Can you help me with this question please ​

Answers

D

1 1
6
+
1 1
4
=
29
12
=
2 5
12
Result in decimals: 2.4166666666667

Calculation steps:

1 1
6
+
1 1
4
= (1 + 1) + (
1
6
+
1
4
)
= 2 +
1 × 2
6 × 2
+
1 × 3
4 × 3
= 2 +
2
12
+
3
12
= 2 +
2 + 3
12
= 2 +
5
12
=
2 5
12

MATH! What is 2x5x7x8x7?

Answers

Answer:

3920

Step-by-step explanation:

Answer:

3920

Step-by-step explanation:

the function c = 100+0.30m represents the cost c (in dollars) of renting a car after m miles

A. Identify the independent and dependent variables.
B. What would the cost be to rent the car and drive 100 miles.
C. How many miles would a customer have to drive for the cost to be $149.50?​

Answers

Answer:

IT IS 200

Step-by-step explanation:

i need an opinion, my other note is in anouther question. what do y'all think.

Dear Chelsea

I'm tierd of you scraching me
I mean I love you can't you see
You may not see it but your rude to Sue
you tell me a secret like the one about you know who
Do you like to hurt Sue and me
Dose it make very you happy
I'm done with all the disrespect
I always helped you last I checked
I'm always there for you
I have fun doing all the things we do
I love you like my own child
Evan though you're a little wild
Your pretty and strong
Your hair is not so long
But what do I care
I mean it's your hair
I geuss what I'm trying to say
Is that no matter what you do ill still love you anyway
You are my little cousin more like a sister
And I hope to be there when you get your mister
I may not always be there
But I want you to know I still care
So as I look up at the sky
I write this not to say goodbye​

Answers

Answer:

good job its very good

Step-by-step explanation:

HELP!! EASY ANSWER
The radii of a circumcircle are segments that are equidistant from the ____________________ to the _______________(#8) of a triangle.

Answers

Answer:

Step-by-step explanation:

Same I need this to help plz hurry

Morgan took out a $500 cash advance on her credit card. If the interest rate is 9%, and it takes her 1 year to pay back the loan, what is the total amount of money Morgan will have to pay back to her credit card?

Answers

Answer: $777.60

Step-by-step explanation:

8/100 = 0.08

0.08 * 720 = 57.6

57.6 + 720 = 777.6

Answer:

545

Step-by-step explanation:

9/100=0.09

0.09*500=45

45+500=545

Real answer: 545 Hope this helped C:

Problem 1: Bob’s Citrus and Nursery sells cartons of citrus fruits. There are 24 oranges in each carton. They have 5,643 oranges to pack into cartons. How many cartons can they fill?

Problem 2: This year, 4,338 grapefruits have been harvested so far. Bob’s has 18 storage bins for grapefruits. If the grapefruits are distributed evenly among 18 bins, how many grapefruits are in each bin?
248 per bin.

Answers

The number of cartons that the oranges would fill in  Bob’s Citrus and Nursery would be 235 cartons.

The number of grapefruits in each bin would be 241 grapefruits per bin.

How to find the number of cartons ?

To find the number of cartons of oranges that would be filled, use the number of oranges that go into carton in Bob’s Citrus and Nursery and the number of oranges they have to pack. The formula would be:

= Number of oranges / Number of oranges per carton

= 5, 643 / 24

= 235 cartons

How to fin the number of grapefruits per bin ?

The same logic is applied to find the number of grapefruits that would be in each bin. If each bin would have an equal number of grapefruits, the number of grapefruits per bin would be:

= Number of grapefruits / Number of bins

= 4, 338 / 18

= 241 grapefruits per bin

Find out more on grapefruits at https://brainly.com/question/7943300

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A truck travels 2,400 miles in 60 hours going the same distance each hour. How many miles does the truck travel each hour?

Answers

Answer:

The truck travels 40 miles per hour.

Step-by-step explanation:

[tex] \frac{2400 \: miles}{60 \: hours} = \frac{x}{1 \: hour} \\ \\ \frac{60x}{60} = \frac{2400}{60} \\ \\ x = 40[/tex]

y - (-9) = –16
linear equations

Answers

Answer: y=-25

Step-by-step explanation:

step 1: simplify both sides of the equation

y+9=−16

step 2: subract 9 from both sides

y+9−9=−16−9

y=−25

R is (-8,2) and RS is (-1,5) what are the coordinates of S?

Answers

Answer:

detailed

Step-by-step explanation:

answer

If r is the radius of a circle and d is its diameter, which of the following is an
equivalent formula for the circumference C = 2 pie r?

A. C= pie d
B. C= 2 pie d
C. C=2 pie d^2
D. C = 2 pie rd

Answers

Answer:

A

Step-by-step explanation:

because r is 1/2 of d so you would have 1 d instead of 2 r

A purse containing at most 3.15 in quarters and dimes has, in all 20 coins. Find the maximum number of quarters in the purse.

Answers

Answer:

4

Step-by-step explanation:

The answer is 4!!! Hope this helps

Classify a triangle with size 10,10 and 22

Answers

Answer:

It's probably an isosceles triangle

Step-by-step explanation:

a school population of 1200 increases by 6% per year what will the population be after 4 years

Answers

Answer:

Step-by-step explanation:

1200x6%(.06)=72

72x4=288

1200+288=1488

1200+72=1272+72=1344+72=1416+72=1488

You can use many methods, I like to use the multiplier method for these questions. 6% = 0.06. Because it increase you add it to 1, if it decreased you’d subtract from 1. So 1200 x 1.06^ 4 (to the power of 4). 1514.972352. But because you can’t half a decimal of a person you’d round it to the next whole number so 1515.

12
4
What is the value of x?
O 3/8
O 1
O
8/3
C
8

Answers

Answer:

the value of x is 48

Step-by-step explanation:

because if x=12 and y=4 than you have to do this:

-) (x+y) x/y

(12+4) times 12/4

4/6 times 2/41

than it equals 48

this took me so long ;-;

Jody has 3 red marbles, 7 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles? A. 3:19 B. 3:7 C. 7:3 D. 19:3

Answers

Answer:

B. 3:7

Step-by-step explanation:

hope it helps u :)

Answer:

well for me I think

Step-by-step explanation:

it's 3:7

hope it's helpful

Consider a large population with a mean of 100 and a standard deviation of 21. A random sample of size 36 is taken from this population. The standard error of the sampling distribution of sample mean.

Answers

Answer:

3.5

Step-by-step explanation:

Given that:

Population mean (m) = 100

Standard deviation (σ) = 21

Sample size (n) = 36

The standard error of the sampling distribution of sample mean :

Standard Error is given by:

Standard deviation / sqrt(n)

Thus,

Standard Error = 21 / sqrt(36)

Standard Error = 21 / 6

Standard Error = 3.5

Salim walked113miles to school and then212miles to work after school. How far did he walk in all?

Answers

The answer is 325 miles!
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